Embibe Experts Solutions for Exercise 8: EXERCISE 13.1

If $b, k$ are the intercepts of a focal chord of the parabola $y^2=4ax,$ then $k$ is equal to

If the line $3x-4y+5=0$ is a tangent to the parabola $y^2=4ax,$ then $a$ is equal to

The tangents at the points $\left(a{t}_1^2, 2a{t}_1\right), \left(a{t}_2^2, 2a{t}_2\right)$ on the parabola $y^2=4ax$ are at right angles if

The number of parabolas that can be drawn if two ends of the latus rectum are given

If the two tangents drawn from a point $P$ to the parabola $y^2=4x$ are at right angles then the locus of $P$ is

Which of the following lines, is a normal to the parabola $y^2=16x?$
 

Equation of the tangent at $(-4, -4)$ on $x^2=-4y$ is

The length of the normal chord to the parabola $y^2=4x,$ which subtends right angle at the vertex is