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Accelerate JEE 2020: Conic Section Class 2 (11.10.2019)

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Question 1

Let P (4, -4) and Q(9, 6) be two points on the parabola, y2 = 4x and let X be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of ΔPXQ is maximum. Then this maximum area (in sq. units) is:

Question 2

Let P be a point on the parabola,  x2=4y. If the distance of P from the center of the circle, x2+y2+6x+8=0 is minimum, then the equation of the tangent to the parabola at P, is :

Question 3

The normal at the point (bt12, 2bt1) on a parabola meets the parabola again in the point (bt22, 2bt2), then

Question 4

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is

Question 5

Two parabolas with a common vertex and with axes along x-axis and y-axis, respectively, intersect each other in the first quadrant. If the length of the latus rectum of each parabola is 3, then the equation of the common tangent to the two parabolas is :
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Jul 16JEE & BITSAT