From a point P, tangents PQ and PR are drawn to the parabola `y ^(2)=4ax.` Prove that centrold lies inside the parabola.

From a point P, tangents PQ and PR are drawn to the parabola y^(2)=4ax . Prove that centroid lies inside the parabola.

From a point P, tangents PQ and PR are drawn to the parabola y^(2)=4ax . Prove that centroid lies inside the parabola.

From a point P, two tangents are drawn to the parabola y^(2) = 4ax . If the slope of one tagents is twice the slope of other, the locus of P is

From a point P, two tangents are drawn to the parabola y^(2) = 4ax . If the slope of one tagents is twice the slope of other, the locus of P is

From a point P tangents are drawn to the parabola y^2=4ax . If the angle between them is (pi)/(3) then locus of P is :

If from a point A,two tangents are drawn to parabola y^(2)=4ax are normal to parabola x^(2)=4by, then

Let tangent PQ and PR are drawn from the point P(-2, 4) to the parabola y^(2)=4x . If S is the focus of the parabola y^(2)=4x , then the value (in units) of RS+SQ is equal to

Let tangent PQ and PR are drawn from the point P(-2, 4) to the parabola y^(2)=4x . If S is the focus of the parabola y^(2)=4x , then the value (in units) of RS+SQ is equal to

For what values of 'a' will the tangents drawn to the parabola y^(2)=4ax from a point,not on the y-axis,will be normal to the parabola x^(2)=4y.