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

24x ^(3) - 36x ^(2)y

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)=6x^(2)+y^(2)=9(d) None of these

For the following ellipse, find the equation of directrix (i) 9x^(2) + 4y^(2) = 36 (ii) 16x^(2) + 25y^(2) = 400 .

Find area of the ellipse 4x ^(2) + 9y ^(2) = 36.

5x + 2y = 31 3x + 7y = 36