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If PQ and RS are normal chords of the parabola y2=8x at P & R, respectively, and the points P, Q, R and S are concyclic, then

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Important Questions on Parabola

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Mathematics
IMPORTANT
Mathematics Crash Course JEE Advanced>Chapter 9 - Parabola>Exercise 1>Q 41
If a parabola touches the lines y=x and y=-x at P3, 3 and Q2, -2 respectively, then
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Mathematics
IMPORTANT
Mathematics Crash Course JEE Advanced>Chapter 9 - Parabola>Exercise 1>Q 42
Let A, B and C be three distinct points on y2=8x such that normals at these points are concurrent at P. The slope of AB is 2 and abscissa of centroid of △ABC is 43. Which of the following is (are) correct?
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Mathematics
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Mathematics Crash Course JEE Advanced>Chapter 9 - Parabola>Exercise 1>Q 43
Let P and Q be distinct points on the parabola y2=2x  such that a circle with PQ as diameter passes through the vertex O of the parabola. If P lies in the first quadrant and the area of the triangle ΔOPQ is 32 sq. units, then which of the following is (are) the coordinates of P?
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Mathematics
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Mathematics Crash Course JEE Advanced>Chapter 9 - Parabola>Exercise 1>Q 46
The focal distance of a point on the parabola y2=16x whose ordinate is twice the abscissa is (except the vertex of parabola)
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Mathematics
IMPORTANT
Mathematics Crash Course JEE Advanced>Chapter 9 - Parabola>Exercise 1>Q 47
The radius of circle which passes through the focus of the parabola x2=4y & touches it at the point 6, 9 is a10, then value of 'a' is
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Mathematics
IMPORTANT
Mathematics Crash Course JEE Advanced>Chapter 9 - Parabola>Exercise 1>Q 48
A line is a common tangent to the circle x-32+y2=9 and the parabola y2=4x. If the two points of contact a,b and c,d are distinct and lie in the first quadrant, then 2a+c is equal to ___ .