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Lines 5x + 12y - 10 = 0 and 5x - 12y - 4...

Lines `5x + 12y - 10 = 0` and `5x - 12y - 40 = 0` touch a circle C1 of diameter 6. If the center of C1, lies in the first quadrant, find the equation of the circle C2, which is concentric with C1, and cuts intercept of length 8 on these lines

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

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  2. Let a given line L1 intersect the X and Y axes at P and Q respectively...

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  3. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

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  4. On the line segment joining (1, 0) and (3, 0) , an equilateral triangl...

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  5. From a point R(5,8) , two tangents R Pa n dR Q are drawn to a given ci...

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  6. Find the equations of the circles passing through the point (-4,3) and...

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

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

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

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

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

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

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

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

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

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

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

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