The centre of circle which passes through `A (h, 0), B (0, k) and C (0, 0)` is : (A) `(h/2, 0)` (B) `(0, k/2)` (C) `(h/2, k/2)` (D) (h, k)`

The centre of the circle passing through the points (h,0),(k.0),(0,h),(0,k) is

The orthocenter of triangle whose vertices are A(a,0,0),B(0,b,0) and C(0,0,c) is ((k)/(a),(k)/(b),(k)/(c)) then k=

If (h,0),(a,b) and (0,k) lie on a line,show that (a)/(h)+(b)/(k)=1

If three points (h, 0), (a, b) and (0, k) lies on a line, show that (a)/(h) + (b)/(k) = 1 .

Four distinct points (k, 2k), (2, 0), (0, 2) and (0,0) lie on a circle for : (A) k = 0 (B) k = 6/5 (C) k = 1 (D) k = -1

Prove that the two circles each of which passes through the point (0, k) and (0, -k) and touches the line y=mx+b will cut orthogonally, if b^2 = k^2 (2+m^2) .

Let the point at which the circle passing through (0, 0) and (1, 0) touches the circle x^(2)+y^(2)=9 is P(h, k), then |k| is equal to

If three points A(h,0),P(a,b) and B(0,k) lie on a line,show that: (a)/(h)+(b)/(k)=1