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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 then 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 ENGLISH-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 r1a n dr2 are the radii of the smallest and the largest circles, re...

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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 P be any moving point on the circle x^2+y^2-2x=1. A B be the chord...

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  16. C1 and C2 are two concentric circles, the radius of C2 being twice tha...

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

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  18. Consider a curve ax^2+2hxy+by^2=1 and a point P not on the curve. A li...

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

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

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