EXERCISE-2

If the distance between a tangent to the parabola $y^2=4x$ and a parallel normal to the same parabola is $2\sqrt{2},$ then possible values of gradient of either of them are -

If $PQ$ is a chord of parabola $x^2=4y$ which subtends right angle at vertex. Then locus of centroid of triangle $PSQ$ ($S$ is focus) is a parabola whose -

 Identify the correct statement $\left(s\right) -$

For parabola $y^2=4ax$ consider three points $A, B, C$ lying on it. If the centroid of $∆ABC$ is $\left(h_1, k_1\right) \&$ centroid of triangle formed by the point of intersection of tangents at $A, B, C$ has coordinates $\left(h_2, k_2\right),$ then which of the following is always true -

 Equation  $x^2-2x-2y+5=0$  represents - 

 The normals to the parabola  $y^2=4ax$ from the point $\left(5a, 2a\right)$ are - 

The equation of the lines joining the vertex of the parabola $y^2=6x$ to the points on it whose abscissa is $24,$ is -

 Consider the equation of a parabola  $y^2=4ax, \left(a<0\right)$   which of the following is false -