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Revision Quiz on Parabola

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Question 1

The focus of parabola (y – 8)² = 12x is?

Question 2

The tangents of the parabola

at points (1,2) and (1,-2) intersect at?

Question 3

If three normal can be drawn from (h, 2) to the parabola y² = -4x then

Question 4

The locus of the point of intersection of the tangents drawn at the ends of a focal chord of the parabola x²= -8y is

Question 5

The coordinates of a moving point P are $Description: E:\WBJEE\2011\2011_Mathematics_files\image256.png$ then its locus will be a/an

Question 6

Tangent and normal are drawn at P(16, 16) on the parabola y²=16x which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and ∠CPB=θ, then a value of tan θ is :

Question 7

The vertex of the parabola $Description: E:\WBJEE\2011\2011_Mathematics_files\image249.png$ is

Question 8

The condition so that the line lx+my+n=0 may touch the parabola y²=8x

Question 9

A curve P with the equation

, is plotted and the following factors are taken into account. On the basis of the following situation find α. Normals are drawn from the point P with slopes m1, m2, m3 to the parabola

. If locus of P with m1m2=α is a part of parabola itself, then find α

Question 10

The length of the latus rectum of
3x² – 4y + 6x – 3 = 0 is

Question 11

Find the equation of the parabola having vertex

passing through

and axis along X-axis.

Question 12

The point of the contact of the tangent to the parabola y² = 4ax which makes an angle of 30 º eith X-axis, if

Question 13

The equation of the conic with focus at (1, -1) directrix along x - y + 1 = 0 and with eccentricity $Description: Description: E:\VITJEE\Vitjee-2012-Maths_files\image114.png$ , is

Question 14

Number of normals that can be drawn from point (1, 2) on the parabola y² = 12x is

Question 15

The mid-point of the line joining the common points of the line 2x – 3y + 8 = 0 and y² = 8x is

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Jan 27JEE & BITSAT