Let `C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1` and L : y = 2x be three curves. IF R is the point of intersection of the line L with the line `x =1 , then

Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (y^(2))/(4) =1 and L : y = 2x be three curves. IF R is the point of intersection of the line L with the line x =1 , then

Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three curves. If R is the point of intersection of the tangents to H at the extremities of the chord L, then equation of the chord of contact of R with repect to the parabola P is

Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1 and L : y = 2x be three curves P be a point on C and PL be the perpendicular to the major axis of ellipse E. PL cuts the ellipse at point M. (ML)/(PL) is equal to

Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1 and L : y = 2x be three curves P be a point on C and PL be the perpendicular to the major axis of ellipse E. PL cuts the ellipse at point M. If equation of normal to C at point P be L : y = 2x then the equation of the tangent at M to the ellipse E is

The point of intersection of the curves y^(2) = 4x and the line y = x is

Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (y^(2))/(4) =1 and L : y = 2x be three curves P be a point on C and PL be the perpendicular to the major axis of ellipse E. PL cuts the ellipse at point M. If equation of normal to C at point P be L : y = 2x then the equation of the tangent at M to the ellipse E is

Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three curves. If L is the chord of contact of the hyperbola H, then the equation of the corresponding pair of tangent is

Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three curves. If L is the chord of contact of the hyperbola H, then the equation of the corresponding pair of tangent is

The tangents to the curve y=(x-2)^(2)-1 at its points of intersection with the line x-y=3, intersect at the point: