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Two points on the circle x^(2) + y^(2) -...

Two points on the circle `x^(2) + y^(2) - 12x - 16y + 75 = 0 ` , one
nearest to the origin and the other farthest from are

A

(3,4), (9,(12)

B

(3,2),(9,12)

C

`(-3,4),(9,12)`

D

`(3,4),(,-12)`

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The correct Answer is:
A
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If lines 12 x + 5y + 16 = 0 " and " 12 x + 5y - 10 = 0 both touch ...

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  2. Abscissas and ordinates of points A and B are roots of equation x^(...

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  3. Two points on the circle x^(2) + y^(2) - 12x - 16y + 75 = 0 , one ...

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  4. Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y...

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  5. If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = ...

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  6. If lines 3x - 4y + 4 = 0 " and " 6x - 8y - 7 = 0 touch the same c...

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  7. If circles x^(2) + y^(2) - 3x + ky - 5 = 0 " and " 4x^(2) + 4y^(2) - ...

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  8. Centre of circle , passing through (0,0) ,(a,0) and (0,b) , is

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  9. If line 2x - y + k = 0 is a diameter of circle x^(2) + y^(2) + 6...

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  10. Determine equation of the circle whose diameter is the chord x + y = 1...

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  11. If (h,k) is the centre of a circle passing through the origin then its...

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  12. If circles (x -1)^(2) + y^(2) = a^(2) " and " (x + 2)^(2) + y^(2) = ...

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  13. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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  14. The radius of the circle, having centre at (2, 1), whose one of the ch...

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  15. Find the equation of the circle which touches the circle x^(2) + y^(...

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  16. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

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  17. The locus of the point whose co-ordinates are x = 3 cos theta + 2 ...

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  18. The radius of the circle t^(2) x^(2) + t^(2) y^(2) - 2at^(3) x - 2...

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  19. If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c...

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  20. If the co-ordinates of a point P are x = at^(2), y = a sqrt(1 - t...

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