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The circles having radii r1 and r2 inter...

The circles having radii r_1 and r_2 intersect orthogonally. Length of their common chord is

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Two circles C_1 and C_2 intersect in such a way that their common chord is of maximum length. The center of C_1 is (1, 2) and its radius is 3 units. The radius of C_2 is 5 units. If the slope of the common chord is 3/4, then find the center of C_2dot

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Statement I The chord of contact of tangent from three points A, B and...

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  2. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

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  3. The circles having radii r1 and r2 intersect orthogonally. Length of t...

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  4. Tangents P A and P B are drawn to x^2+y^2=9 from any arbitrary point P...

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  5. The two circles which passes through (0,a) and (0,-a) and touch the li...

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  6. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

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  7. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  8. The condition that the chord xcos alpha +ysin alpha -p=0 of x^2+y^2-a^...

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  9. Let the base A B of a triangle A B C be fixed and the vertex C lies on...

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  10. If the chord of contact of tangents from a point P to a given circle p...

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  11. Statement : Points (1, 1), (2, 3), and (3, 5) are collinear.

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  12. Statement 1 : The number of circles touching lines x+y=1,2x-y=5, and 3...

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  13. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

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  14. The equation of the chord of the circle x^2+y^2-3x-4y-4=0 , which pas...

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  15. A rhombus is inscribed in the region common to the two circles x^2+y^2...

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  16. In a triangle ABC, right angled at A, on the leg AC as diameter, semic...

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  17. Two congruent circles with centered at (2, 3) and (5, 6) which inter...

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  18. The locus of the center of the circle such that the point (2,3) is t...

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  19. The value of 'c' for which the set {(x, y)|x^2+y^2+2xle1}bigcap{(x, y)...

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  20. A circle of radius unity is centered at thet origin. Two particles tar...

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