Q56 of 107 Page 107

Find when x and y are connected by the relation given
tan^-1 (x² + y²) = a

We have,

tan^-1(x² + y²) = a

∴ x² + y² = tan a

On differentiating both sides with respect to x, we get

Find when x and y are connected by the relation given

sec (x + y) = xy

Find when x and y are connected by the relation given

(x² + y²)² = xy

If ax² + 2hxy + by² + 2gx + 2fy + c = 0, then show that

Find when x and y are connected by the relation giventan-1 (x2 + y2) = a