PQ is a double ordinate of the ellipse `x^2+9y^2 =9`, the normal at P meets the diameter through Q at R .then the locus of the mid point of PR is

PQ is a double ordinate of the parabola y^2 = 4ax. If the normal at P intersect the line passing through Q and parallel to axis of x at G, then locus of G is a parabola with -

PQ is a double ordinate of the parabola y^2 = 4ax . If the normal at P intersect the line passing through Q and parallel to axis of x at G, then locus of G is a parabola with -

PQ is any double ordinate of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 , find the euqation to the locus of the point of trisection of PQ that is nearer to P .

If P is the point (1,0) and Q lies on the parabola y^(2)=36x , then the locus of the mid point of PQ is :

PQ is a chord of the parabola y^(2) = 4ax . The ordinate of P is twice that of Q . Prove that the locus of the mid - point of PQ is 5y^(2) = 18 ax

The tangent and the normal to the ellipse 4x^(2)+9y^(2)=36 at the point P meets the major axis Q and R respectively.If QR=4 then the eccentric angle of P is given by

Let p be the point (1,0) and Q a point on the locurs y^(2)=8x the locus of mid point of PQ is