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If r1and r2 are the radii of smallest an...

If `r_1`and `r_2` are the radii of smallest and largest circles which passes through (5,6) and touches the circle `(x-2)^2+y^2=4`, then `r_1,r_2` is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equations of the circles passing through the point (-4,3) and...

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  2. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the ...

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  3. If r1and r2 are the radii of smallest and largest circles which passes...

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  4. From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn...

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  5. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair o...

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  6. The minimum radius of the circle which is orthogonal with both the c...

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  7. If a circle of radius r is touching the lines x^2-4x y+y^2=0 in the ...

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  8. Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a fa...

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  9. Two circles of radii a and b touching each other externally, are inscr...

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  10. Let C be any circle with centre (0,sqrt(2))dot Prove that at most two ...

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  11. Let a circle be given by 2x(x-a)+y(2y-b)=0,(a!=0,b!=0) . Find the cond...

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  12. Consider a family of circles passing through the points (3, 7) and (6,...

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  13. Let xa n dy be real variables satisfying x^2+y^2+8x-10 y-40=0 . Let a=...

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  14. A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is...

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  15. Tangent drawn from the point (a ,3) to the circle 2x^2+2y^2=25 will be...

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  16. Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre ...

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  17. If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...

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  18. Let A B C be a triangle right-angled at Aa n dS be its circumcircle. L...

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  19. ABCD is a rectangle. A circle passing through vertex C touches the sid...

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  20. If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^...

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