`D( u pm v) = D(u) pm D(v)`

D(u+-v)=D(u)+-D(v)

If : sin A + cos A =1, "then" :sin A - cos A = A) pm 1 B)0 C) pm 2 D) pm 3

The graph between object distance u and image distance v for a lens is given below. The focal length of the lens is. (a) 5 pm 0.1 (b) 5 pm 0.05 ( c) 0.5 pm 0.1 (d) 0.5 pm 0.05 . .

The graph between object distance u and image distance v for a lens is given below. The focal length of the lens is. (a) 5 pm 0.1 (b) 5 pm 0.05 ( c) 0.5 pm 0.1 (d) 0.5 pm 0.05 . .

If u, v and w are functions of x, then show that (d)/(dx) (u.v.w) = (du)/(dx) v.w + u.(dv)/(dx).w + u.v.(dw)/(dx) in two ways- first by repeated application of product rule, second by logarithmic differentiation. Using product rule

The circles x^2 + y^2 + 2ux + 2vy = 0 and x^2 + y^2 + 2u_1 x + 2v_1 y = 0 touch each other at (1, 1) if : (A) u + u_1 = v + v_1 (B) u + v = v_1 + u_1 (C) u/u_1 = v/v_1 (D) none of these

The circles x^2 + y^2 + 2ux + 2vy = 0 and x^2 + y^2 + 2u_1 x + 2v_1 y = 0 touch each other at (1, 1) if : (A) u + u_1 = v + v_1 (B) u + v = v_1 + u_1 (C) u/u_1 = v/v_1 (D) none of these