" (iv) "y=2x

y=2x-1

The solution of the differential equation (dy/dx)^2-(xdy)/dx+y=0 is (A) y=2 (B) y=2x (C) y=2x-4 (D) y=2x^2-4

Area bounded by the lines y=2+x, y=2-x and x=2 is

Area bounded by the curve y=2+x, y=2-x and x = 2 is

Show that (i) cos x+cos y=2 cos (x+y)/(2) cos (x-y)/(2) (ii) cos x-cos y=-2 sin (x+y)/(2) sin (x-y)/(2) (iii) sin x+sin y=2 sin (dot(x)+y)/(2) cos (x-y)/(2) (iv) sin x-sin y=2 cos (x+y)/(2) sin (x-y)/(2)

Find the area enclosed with in the curve y=x^(2), y=2x

The value of the determinant |[x,x+y, x+2y], [x+2y, x,x+y], [x+y, x+2y,x]| is (a) 9x^2(x+y) (b) 9y^2(x+y) (c) 3y^2(x+y) (d) 7x^2(x+y)

The value of the determinant |[x, x+y, x+2y], [x+2y, x,x+y],[x+y, x+2y, x]| is (a) 9x^2(x+y) (b) 9y^2(x+y) (c) 3y^2(x+y) (d) 7x^2(x+y)

Evaluate: (i) |(x^2+x y+y^2,x+y ),(x^2-x y+y^2,x-y)|