Home
Class 12
MATHS
A circle C(1) has radius 2 units and a c...

A circle `C_(1)` has radius 2 units and a circles `C_(2)` has radius 3 units. The distance between the centres of `C_(1)` and `C_(2)` is 7 units. If two points, one tangent to both circles and the other passing through the centre of both circles, intersect at point P which lies between the centers of `C_(1) and C_(2)`, then the distance between P and the centre of `C_(1)` is

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

A circle of radius 2 units is touching both the axes and a circle with centre at (6,5). The distance between their centres is

Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

The line 2x - y + 1 = 0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y = 4. The radius of the circle is :

The centre of a circle is (2x-1, 3x++1) and radius is 10 units. Find the value of x if the circle passes through the point (-3, -1) .

A point "P" is at the 9 unit distance from the centre of a circle of radius 15 units. The total number of different chords of the circle passing through point P and have integral length is

Find the equation of the circle passing through the point (7, 3) having radius 3 units and whose centre lies on the line y = x-1

Find the equation of the circle passing through the point (7,3) having radius 3 units and whose centre lies on the line y=x-1

A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line, then the locus of centre of the circle is :

Consider circles C_(1) and C_(2) touching both the axes and passing through (4, 4), then the product of the radii of the two circles is

A circle C_(1) of radius 2 units rolls o the outerside of the circle C_(2) : x^(2) + y^(2) + 4x = 0 touching it externally. The locus of the centre of C_(1) is