The two circles which passes through (0,a) and (0,-a) and touch the line` y = mx+c` will intersect each other at right angle ,if

P is a point(a,b) in the first quadrant. If the two circles which pass through P and touch both the co-ordinates axes cut at right angles , then

P(α,β) is a point in first quadrant. If two circles which passes through point P and touches both the coordinate axis, intersect each other orthogonally, then

The circle which can be drawn to pass through (1, 0) and (3, 0) and to touch the y-axis intersect at angle thetadot Then costheta is equal to (a) 1/2 (b) -1/2 (c) 1/4 (d) -1/4

Find the equation of a circle which passes through (0, -3) and (3, -4) and the centre lies on the straight line 2x - 5y + 12 = 0.

Each of the two equal circles passes through the centre of the other and the two circles intersect each other at the points. A and B.If a straight ine through the point A intersects the two circles at points C and D prove that Delta BCD is an equilateral triangle.

In two circles , one circle passes through the centre O of the other circle and they intersect each other at the points A and B . A straight line passing through A intersect the circle passing through O at the point P and the circle with centre at O at the point R . BY joining P , B and R , B prove that PR= PB.

Find the equation of a circle .which passes through (-2. 1) and touches the straight line 3x - 2y= 6 at (4. 3).

The centre of a circle passing through the points (0,0),(1,0)and touching the circle x^2+y^2=9 is

The circle passing through (-1, 0) and touching the y - axis at (0, 2) also passes through the point

The circle passing through (1 , -2) and touching the axis of x at (3 , 0) also passes through the point _