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If the circle C1: x^2 + y^2 = 16 interse...

If the circle `C_1: x^2 + y^2 = 16` intersects another circle `C_2` of radius `5` in such a manner that,the common chord is of maximum length and has a slope equal to `3/4`, then the co-ordinates of the centre of `C_2` are:

A

(-9/5, 12/5), (9/5, -12/5)

B

(-9/5, -12/5), (9/5, 12/5)

C

(12/5, -9/5), (-12/5, 9/5)

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. If from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0, t...

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  2. The locus represented by x=a/2(t+1/t), y=a/2(t-1/t) is

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  3. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  4. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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  5. The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such ...

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  6. The equation of the circle having its centre on the line x+2y-3=0 and ...

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  7. The equation of the circumcircle of the triangle formed by the lines y...

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  8. The equation x^(2)+y^(2)+4x+6y+13=0 represents

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  9. To which of the circles, the line y-x+3=0 is normal at the point (3+3s...

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  10. Circles are drawn through the point (2, 0) to cut intercept of length ...

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  11. Find the equation of the circle which touches both the axes and the ...

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  12. The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2...

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  13. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

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  14. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

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  15. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

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  16. The locus of the mid-point of the chords of the circle x^2+y^2=4 wh...

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  17. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  18. The equation of the circle described on the common chord of the circle...

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  19. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

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  20. A circle passes through the origin and has its center on y=x If it cut...

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