Image of ellipse `4x^2 + 9y^2 = 36` in the line `y=x` is :
(A) `9x^2 + 4y^2 = 36`
(B) `3x^2 + 2y^2 = 36`
(C) `2x^2+3y^2 = 36`
(D) none of these

The locus of the point of intersection of the tangents at the extremities of the chords of the ellipse x^2+2y^2=6 which touch the ellipse x^2+4y^2=4, is x^2+y^2=4 (b) x^2+y^2=6 x^2+y^2=9 (d) None of these

Factorise : (iii) 36x^(2) y^(2) - 30 x^(3) y^(3) + 48 x^(3) y^(2)

The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x-5y=20 to the circle x^2+y^2=9 is : (A) 20(x^2+y^2)-36x+45y=0 (B) 20(x^2+y^2)+36x-45y=0 (C) 20(x^2+y^2)-20x+45y=0 (D) 20(x^2+y^2)+20x-45y=0

If 3x+2y=12 and x y=6 , find the value of 9x^2+4y^2

For all real values of m , the straight line y=m x+sqrt(9m^2-4) is a tangent to which of the following certain hyperbolas? (a) 9x^2+4y^2=36 (b) 4x^2+9y^2=36 (c) 9x^2-4y^2=36 (d) 4x^2-9y^2=36

If 3x+2y=12 and x y=6, find the value of 9x^2+4y^2

Find the products: (3x+2y)(9x^2-6x y+4y^2)

The locus of centroid of triangle formed by a tangent to the parabola y^(2) = 36x with coordinate axes is (a) y^(2) =- 9x (b) y^(2) +3x = 0 (c) y^(2) = 3x (d) y^(2) = 9x

If 3x+2y=12\ a n d\ x y=6, find the value of 9x^2+4y^2dot

The area enclosed within the ellipse 4x^(2)+9y^(2)=36 is