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The centres of two circles C(1) and C(2...

The centres of two circles `C_(1) and C_(2)` each of unit radius are at a distance of 6 unit from each other. Let P be the mid-point of the line segment joining the centres of `C_(1) and C_(2)` and C be a circle touching circles `C_(1) and C_(2)` externally. If a common tangent to `C_(1)` and C passing through P is also a common tangent to `C_(2)` and C, then the radius of the circle C, is

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ARIHANT MATHS ENGLISH-CIRCLE -Exercise (Subjective Type Questions)
  1. about to only mathematics

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  2. Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

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  3. The centres of two circles C(1) and C(2) each of unit radius are at a...

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  4. If P and Q are the points of intersection of the circles x^(2)+y^(2)+3...

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  5. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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  6. The circle passing through the point ( -1,0) and touching the y-axis ...

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  7. about to only mathematics

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  8. The two circles x^(2)+y^(2) = ax and x^(2)+y^(2) = c^(2) ( c gt0) touc...

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  9. The locus of the mid-point of the chord of contact of tangents drawn f...

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  10. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  11. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  12. The length of the diameter of the circle which touches the x-axis at ...

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  13. The circle passing through ( 1, -2) and touching the axis of x at ( 3,...

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  14. Circle(s) touching x-axis at a distance 3 from the origin and having a...

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  15. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

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  16. A circle S passes through the point (0, 1) and is orthogonal to the ci...

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  17. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+"...

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  18. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  19. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

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  20. if one of the diameters of the circle, given by the equation, x^(2)+y^...

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