Home
Class 12
MATHS
The circles x^2 + y^2 + 2ux + 2vy = 0 an...

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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that the circles x^2+y^2+24ux+2vy=0 and x^2+y^2+2u_1x+2v_1y=0 touch each other externally if -12u_1u=v_1v .

If sum_(n=1)^n u_n =an^2+bn+c, then |(u_1,u_2,u_3),(1,1,1),(7,8,9)|= (A) 0 (B) u_1-u_2+u_3 (C) 1 (D) none of these

Let y = uv be the product of the functions u and v . Find y'(2) if u(2) = 3, u'(2) = – 4, v(2) = 1, and v'(2) = 2.

If u = (x-3)/( 2) and v= ( y-2)/( 3), then cov(u,v) = k cov(x,y) . The value of k is

If (5x + 6y)/(5u + 6v) = (5x - 6y)/(5u - 6v) : then prove that x : y = u : v .

Differentiate w.r.t x , y = (x^(2)+1)//(x-1) . Here u = x^(2) +1, v = x - 1

Find the polynomials u(x) and v(x) such that (x^(4) -1) * u(x) + (x^(7) -1) * v(x) = (x-1) .

Find the cov (X, Y) between X and Y, if sum u_(1)v_(1) = 55 and n = 11 , where u_(1) and v_(1) are deviation of X and Y series from their respective means.

If the roots of the equation x^(3) -10 x + 11 = 0 are u, v, and w, then the value of 3 cosec^(2) (tan^(-1) u + tan^(-1) v + tan^(-1 w) is ____

Solve :3(2u+v)=7u v , 3(u+3v)=11 u v