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If two circles (x-1)^2+(y-3)^2=r^2 and x...

If two circles `(x-1)^2+(y-3)^2=r^2` and `x^2+y^2-8x+2y+8=0` intersect in two distinct points then

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PATHFINDER-CIRCLE-QUESTION BANK
  1. Match List - I with List-II

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  2. Match List - I with List-II Let the functions defined in List - I ha...

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  3. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

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  4. Radius of a circle cuts the x-axis at two points at distance 4 units f...

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  5. Let PQ and RS be tangents at the extremities of one diameter PR of a c...

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  6. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

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  7. The equation of the circle which touches the axis of y at a distance +...

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  8. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

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  9. Find the intervals of the values of 'a' for which the line y + x = 0 b...

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  10. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

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  11. If y = mx is the equation of a chord of the circle x^2+y^2-2ax=0 with ...

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  12. Find the locus of the mid point of the chord of the circle x^2+y^2=a^2...

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  13. Tangents are drawn to the circle x^2+y^2=4 from P(3,4) to touch it at ...

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  14. Show that the common tangents to the circles x^2+y^2-6x=0 and x^2+y^2+...

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  15. Two straight lines rotate about two fixed points. If they start from t...

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  16. If two curves, whose equations are ax^2+2hxy+by^2+2gx+2fy+c=0 and a'x^...

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  17. Find the equation of the circle of minimum radius which contains the t...

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  18. The number of common tangents to the circles x^2+y^2-4x-6y-12=0 and x^...

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  19. A circle S passes through the point (0, 1) and is orthogonal to the ci...

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  20. Let C be the circle with centre at (1, 1) and radius = 1. If T is the ...

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