If parabola `y^2 = 4ax` touches circle `x^2 + y^2 + 2gx = 0` externally, then (A) `agt0, ggt0` (B) `agt0, glt0` (C) `alt0,ggt0` (D) `alt0, glt0`

If ax+by+c=0 is a normal to hyperbola xy=1 , then (A) alt0, blt0 (B) alt0, bgt0 (C) agt0, bgt0 (D) agt0, blt0

If the circle x^2 + y^2 + lambdax = 0, lambda epsilon R touches the parabola y^2 = 16x internally, then (A) lambda lt0 (B) lambdagt2 (C) lambdagt0 (D) none of these

The line 4y - 3x + lambda =0 touches the circle x^2 + y^2 - 4x - 8y - 5 = 0 then lambda=

If two circles x^2 + y^2 + ax + by = 0 and x^2 + y^2 + kx + ly = 0 touch each other, then (A) al = bk (B) ak = bl (C) ab = kl (D) none of these

If the circle x^(2)+y^(2)+2ax=0, a in R touches the parabola y^(2)=4x , them

lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-6y-12 = 0 externally at a point (1, -1), then the radius of the circle C is :-

The radius of a circle is 5 units and it touches the circle x^(2) + y^(2) - 2 x - 4 y - 2 0 = 0 externally at the point (5,5). Find the equation of the circle.

If a=int_(1/2)^2 1/x cot^7(x-1/x)dx , then (A) a=0 (B) 0ltalt1 (C) agt0 (D) none of these

A circle passes through (0,0) and (1, 0) and touches the circle x^2 + y^2 = 9 then the centre of circle is -

If the circles x^2+y^2-9=0 and x^2+y^2+2ax+2y+1=0 touch each other, then a is -4/3 (b) 0 (c) 1 (d) 4/3