Sum of the squares of the lengths of the tangents from the points `(20,30)`,`(30,40)` and `(40,50)` to the circle `x^(2)+y^(2)=16` is `lambda` then `(lambda)/(10)`=

Sum of the squares of the lengths of the tangents from the points (20,30), (30,40) and (40,50) to the circle x ^(2) + y ^(2) = 16 is 100 k, k=

Sum of the squares of the length of the tangents from the points (18, 18), (10, 20) and (21, 21) to the circle x^(2) + y^(2) =25 is equal to ________ .

The square of the length of the tangent from (3, -4) on the circle x^2 + y^2 - 4x - 6y+3=0 is: (A) 20 (B) 30 (C) 40 (D) 50

If the tangents from the point (lambda,3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 are at right angles then lambda is

The smallest among 5^(20),4^(30),3^(40) and 2^(50) is

If the points (lambda,-lambda) lies inside the circle x^(2)+y^(2)-4x+2y-8=0, then find the range of lambda.

If the length of the tangent from (f,g) to the circle x^(2)+y^(2)=6 is twice the length of the tangent from the same point to the circle x^(2)+y^(2)+3x+3y=0 , then

If lambda x-by+b^(2)=0 is tangent to the circle x^(2)+y^(2)=ax+by then lambda can be equal to

If two tangents are drawn from a point to the circle x^(2) + y^(2) =32 to the circle x^(2) + y^(2) = 16 , then the angle between the tangents is

'I' is the in-centre of the triangle formed by the points A(0,0), B(3,0), C(0,4) . lambda is the length of the median through B. If P=(lambda^(2)-9,lambda^(2)+1) , then the length 'IP' is