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A circle C1 of radius b touches the circ...

A circle `C_1` of radius b touches the circle `x^2 + y^2 =a^2` externally and has its centre on the positiveX-axis; another circle `C_2` of radius c touches the circle `C_1`, externally and has its centre on the positive x-axis. Given `a lt b lt c` then three circles have a common tangent if a,b,c are in?

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Statement 1 : Two orthogonal circles intersect to generate a common ...

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  2. Two circles C1a n dC2 both pass through the points A(1,2)a n dE(2,1) a...

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  3. A circle C1 of radius b touches the circle x^2 + y^2 =a^2 externally a...

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  4. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

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  5. Difference in the values of the radius of a circle whose center is at ...

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  6. A triangle is inscribed in a circle of radius 1. The distance between ...

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  7. Find the equation of the circle whose radius is 5 and which touches th...

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  8. Let 2 x^2 + y^2 - 3xy = 0 be the equation of pair of tangents drawn fr...

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  9. Find the equation of a circle which passes through the point (2,0) a...

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  10. Let C1 be the circle with center O1(0,0) and radius 1 and C2 be the ci...

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  11. C1 is a circle of radius 1 touching the x- and the y-axis. C2 is anoth...

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  12. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

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  13. State whether the statement is True or False: The line x+3y=0 is a dia...

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  14. Prove That : No tangent can be drawn from the point (5/2,1) to the cir...

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  15. A circle passes through the points A(1,0) and B(5,0), and touches the ...

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  16. Prove that the locus of the point that moves such that the sum of the ...

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  17. The equation of four circles are (x+-a)^2+(y+-a)^2=a^2 . The radius of...

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  18. An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the v...

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  19. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

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  20. If (alpha,beta) is a point on the circle whose center is on the x-axi...

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