If there are two points A and B on rectangular hyperbola `xy=c^(2)` such that abscissa of A =ordinate of B, then the locus of points of intersection of tangents at A and B is

If there are two points A and B on rectangular hyperbola xy=c^2 such that abscissa of A = ordinate of B, then locusof point of intersection of tangents at A and B is (a) y^2-x^2=2c^2 (b) y^2-x^2=c^2/2 (c) y=x (d) non of these

The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax

If a tangent to the parabola y^2 = 4ax intersects the x^2/a^2+y^2/b^2= 1 at A and B , then the locus of the point of intersection of tangents at A and B to the ellipse is

The locus of point of intersection of perpendicular tangents drawn to x^(2) = 4ay is

If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at Aa n dB , then find the locus of the point of intersection of the tangents at Aa n dBdot

Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that A B=B C=r . Find the locus of the point of intersection of tangents at Aa n dCdot

Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that A B=B C=r . Find the locus of the point of intersection of tangents at Aa n dCdot

If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2) , then

If a pair of variable straight lines x^2 + 4y^2+alpha xy =0 (where alpha is a real parameter) cut the ellipse x^2+4y^2= 4 at two points A and B, then the locus of the point of intersection of tangents at A and B is

A, B, C are three points on the rectangular hyperbola xy = c^2 , The area of the triangle formed by the points A, B and C is