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Parabola Formula: Definition, Equation, Applications, Graph
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Let T and C respectively be the transverse and conjugate axes of the ...
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From a point ' P ' three normals are drawn to the parabola y2=4 x such ...
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Normals are drawn at points A, B, and C on the parabola y2 = 4x which ...
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Parabola Mind Map - JEE Maths Main and Advanced PDF Download
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Construction of Parabola by Eccentricity Method - Engineering Graphics (EG)
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A normal is drawn to the parabola y2 = 9x at the point P(4, 6), S being ...
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Parabola Class 11 Notes & Numericals for IIT JEE
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If the locus of a point which divides a chord with slope 2 of the ...
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A fixed parabola y2=4 x touches a variable parabola. If the equation to ...
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Let A be the vertex and L the length of the latus fectum of the ...
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From a point ' P ' three normals are drawn to the parabola y2=4 x such ...
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The chord of the parabola y=-a2 x2+5 a x-4 touches the curve y=(1/1-x ...
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Match the vertex, focus and directrix of parabola given in Column I ...
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A chord PQ is a normal to the parabola y 2=4 ax at P and subtends a ...
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Normals of parabola y 2=4 x at P and Q meets at R ( x 2, 0) and ...
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The straight lines joining any point P on the parabola y2=4 a x to the ...
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The line 4 x-7 y+10=0 intersects the parabola, y2=4 x at the points A ...
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The straight line joining any point P on the parabola y2=4ax to the ...
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Two tangents x-2 y+10=0 and x=2 of parabola intersect the tangent at ...
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The cable of a uniformly loaded suspension bridge hangs in the form of ...
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Let the normal at the point P on the parabola y 2= 6 x pass through the ...
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The length of the chord of the parabola x2=4y passing through the ...
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Mind Maps For Parabola - Class 11, 12 , JEE (Main + Advanced)
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The length of the line segment joining the vertex of the parabola y 2=4 ...
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The locus of the mid-point of the line segment joining the focus to a ...
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A line passing through the point P (0,2) with gradient 3 / 4 intersects ...
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Let P Q be a focal chord of the parabola y2=4 x such that it subtends ...
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If x+5=0 is the directrix and (-3,0) the vertex of a parabola, then ...
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If (. 9 a , 6 a .) is a point bounded in the region formed by parabola ...
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The area of the parabola y2=4 a x bounded by its latus rectum is
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The area of the region enclosed by the parabola x2=y, the line y = x +2 ...
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Let PQ be the chord of the parabola y 2=4 x with slope =2. Locus of the ...
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If a perpendicular drawn through the vertex O of the parabola y2=4 a x ...
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If the normal at one end of the latusrectum of the parabola y2=16 x ...
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Parabola Class 11 Notes & Numericals for IIT JEE
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If the line y =4+ kx , k >0, is the tangent to the parabola y = x - x 2 ...
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Let points A1,A2 and A3 lie on the parabola y2=8x. If Δ A1A2A3 is an ...
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A B is a chord of the parabola y2=4a x with vertex A, B C is drawn ...
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Construction of Parabola by Tangent Method - Engineering Graphics (EG)
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The vertices of the base of an isosceles triangle lie on a parabola y2 ...
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A tangent and a normal are drawn at the point P (2,-4) on the parabola ...
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Parabola - Engineering Graphics (EG)
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The length of the line segment joining the vertex of the parabola y2=4 ...
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Axis of a parabola lies along x-axis. If its vertex and focus are at ...
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Consider the parabola with vertex ((1/2), (3/4)) and the directrix y=(1 ...
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Which of the following is/are true? I. The area of the region enclosed ...
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A point P on the parabola y2=4x, the foot of the perpendicular from it ...
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Let AB be the latusrectum of the parabola y2=4ax in the Xy- plane Let T ...
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Let E denote the parabola y 2=8 x. Let P =(-2,4) and let Q and Q prime ...
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3 points O (0,0), P ( a , a 2), Q (- b , b 2)( a >0, b >0) are on the ...
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Consider the information given below The function f is given by f(x)=x2 ...
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The tangent and normal at the point P (18,12) of the parabola y 2=8 x ...
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PQ is a double ordinate of the parabola y 2=8 x. If the normal at P ...
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The length of the latus rectum of a parabola, whose vertex and focus ...
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Consider the parabola y2=4 x. Let S be the focus of the parabola. A ...
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If θ be the angle subtended at the focus by the chord which is normal ...
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The area of the region bounded by the parabola (y-2)2=(x-1), the ...
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Let tangents drawn to the parabola y2+24 x=0 at P and Q be the normals ...
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The area bounded by the parabolas y=4 x2, y=(x2/9) and the straight ...
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Let P be a point on the parabola y2 = 4ax with focus F. Let Q denote ...
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Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x ...
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Let AB be variable chord of the parabola P: y 2=4 ax such that the ...
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If the line y = mx + 2 cuts the parabola 2y = x2 at points (x1, y1) and ...
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The point (2 a , a) lies inside the region bounded by the parabola x2 ...
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The equations of the lines joining the vertex of the parabola y2=6 x to ...
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Consider the parabola y=x2 in the x y-plane, with ' O ' as the origin ...
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The chord PQ of the parabola y2 = x, where one end P of the chord is at ...
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In the parabola y2=4ax, the length of the chord passing through the ...
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A beam is supported at its ends by supports which are 12 m apart. Since ...
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Two mutually perpendicular normals are drawn to the parabola x2=2 y ...
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Area bounded by the parabola y=x2-2 x+3 and tangents drawn to it from ...
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The locus of the mid-point of the line segment joining the focus of the ...
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Let the focal chord of the parabola P: y 2=4 x along the line L: y = mx ...
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Assertion: The area bounded by the curves y2=4 a2(x-1) and lines x=1 ...
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The figure shows a triangle AOB and the parabola y=x2 . The ratio of ...
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The area of the figure bounded by the parabola x=-2 y2, x=1-3 y2 is
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An equilateral triangle is inscribed in the parabola y2=4 a x whose one ...
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A parabola of the form y=a x2+b x+c with a>0 intersects the graph of f ...
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The line 4 x-7 y+10=0 intersects the parabola, y2=4 x at the points A ...
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A bead of mass m stays at point P(a, b) on a wire bent in the shape of ...
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LL' is the latus rectum of the parabola y 2=36 x and PP prime is double ...
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The area of the region bounded by the parabola y=x2 and y =| x | is
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If two distinct chords drawn from the point A(4,4) on the parabola y2=4 ...
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A circle passes through the points of intersection of the parabola y+1 ...
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The area of the region enclosed between parabola y2 = x and the line y ...
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Consider the parabola x2=4 y and circle C: x2+(y-5)2=r2(r>0). Given ...
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The tangent and normal to the parabola y2=4x at point P(1 , 2 ...
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Let PQ be a variable focal chord of the parabola C1: y2-8 x=0 and A be ...
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Let P ( x 1, y 1) (where y 1>0 ) be any point on the parabola y 2=4 x ...
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If the length of the latus rectum of a parabola, whose focus is (a, a ...
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The area (in sq. units) in the first quadrant bounded by the parabola ...
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Statement-1: If tangents drawn to the parabola y2=4 x at the points ...
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Statement-1: The quadrilateral formed by the pair of tangents drawn ...
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Let L1: x-y-2=0 and L2: 2 x+y+1=0 are the tangents to a parabola, whose ...
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The equation of the parabola with vertex at the origin and directrix y ...
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A circle touches the parabola y 2-4 x at M (1,2) and also touches its ...
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An arch is in the form of a parabola with its axis vertical. The arch ...
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An equilateral triangle is inscribed in the parabola y2 = 4ax, whose ...
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The tangent PT and the normal PN to the parabola y 2=4 ax at a point P ...
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The equations of the lines joining the vertex of parabola y2 = 6x to ...
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The area bounded by the parabola y2=4ax and the line x=a and x=4a is
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Pair of tangents are drawn from point A(xA , yA) on y2=4x. Tangents ...
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If P is a point on the parabola y=x2+4 which is closest to the straight ...
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A pair of tangents to a parabola is are equally inclined to a straight ...
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For a given parabola y2=4 a x two chords at right angles are drawn ...
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Observe the following facts for a parabola: (i) Axis of the parabola is ...
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Which of the following is/are true? I. The area of the region enclosed ...
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The turning point (vertex) of the parabola y=x2-2 a x+1 is closest to ...
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The figure below shows a triangle A O B and the parabola y=x2. The ...
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Let (x1, y1) and (x2, y2) be two points on the parabola y2=8 x such ...
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Consider the parabola x2=4 y and circle x2+(y-5)2=r2(r>0). Given that ...
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The slope of a chord of the parabola y2=4ax which is normal at one end ...
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Through the focus of the parabola y2 = 2px (p > 0) a line is drawn ...
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The equation of a tangent to the parabola y2 = 8x is y = x + 2. The ...
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Parabola - Definition, Equations, Formulas, Properties & Solved Examples
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The figure shows the parabola y2=x and Δ AOB. Let A1= area of triangle ...
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Let P: y 2=4 a x , a>0 be a parabola with focus S. Let the tangents to ...
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Consider the parabola y=x2-2 a x+1, a ∈ R. Minimum squared distance of ...
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The area of the region bounded by the parabola y=x2 and y=|x| is
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