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Assertion (A): If the circle x^2+y^2+6x-...

Assertion (A): If the circle `x^2+y^2+6x-2y+k=0` bisects the circumference of the circle `x^2+y^2-2x-6y-15=0` , then k is -35.
Reason (R) : If a circle bisects the circum ference of another circle, then common chord passes through the centre of the second circle.

A

Both Assertion and Reason are true and Reason is the correct explanation of Assertion

B

Both Assertion and Reason are true but Reason is not the correct explanation of Assertion

C

Assertion is true but Reason is false

D

Assertion is false but Reason is true

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-SYSTEM OF CIRCLES-Practice Exercise
  1. The distance of the point (1, 2) from the common chord of the circles ...

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  2. The intercept made by the radical axis of the circles x^2+y^2+6x-16=0 ...

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  3. The centre of the cirlces cutting three circles x^2+y^2-2x-4y+4=0, x^2...

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  4. B and C are two points on the circle x^2+y^2=a^2 point A (b,c) lies ...

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  5. If C1 (1, 3) and C2(4, 3)are the centres of two circles whose radical ...

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  6. The radical centre of the circles x^2+y^2=9, x^2+y^2-2x-2y-5=0 , x^2+y...

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  7. The equation of the circle which cuts orthogonally the three circles, ...

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  8. The equation of the circle which cuts orthogonally the three circles x...

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  9. If A(2, -1), B(3, 1), C(1, -2) then the radical centre of the circles ...

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  10. The length of the common chord of the two circles of radii 10, 24 whos...

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  11. The radical axis of two circles S=0, S'=0 does not exist if

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  12. If S = 0, S' =0 are two touching circles then angle between their radi...

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  13. If S = 0, S' =0 are touching circles, then the angle between the line ...

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  14. The angle between two circle inersecting at two distinct points is 90^...

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  15. Let S = 0, S' = 0 be two circle intersecting at two distinct points an...

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  16. The length of the common chord of the circles (x-6)^2+(y-4)^2=4, (x-4)...

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  17. Assertion (A): The locus of the centres of the circle through the poin...

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  18. Assertion (A): If the circle x^2+y^2+6x-2y+k=0 bisects the circumfere...

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  19. The length of the common chord of the circles x^2+y^2+ax+by+c=0 and x^...

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  20. Observe the following statements: statement I: The radical centre of...

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