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If the length of the common chord of two circles `x^2+y^2+8x+1=0` and `x^2+y^2+2muy-1=0` is `2sqrt(6)` , then the values of `mu` are (a)`+-2` (b) `+-3` (c) `+-4` (d) none of these

A

`+-2`

B

`+-3`

C

`+-4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
2
The common choard is `S_(1)-S_(2)=0`
`4x- mu y +1=0`
`:. AC =` Radius of first circle `=sqrt(15)`
`AM=(AB)/(2)=sqrt(6)`
`:. CM=3`
`:. (|-16+1|)/(sqrt(16+mu^(2)))=3`
or `mu = +-3`
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CENGAGE-CIRCLE -Exercise (Single)
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  2. Two circles of radii aa n db touching each other externally, are inscr...

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  3. If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^...

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  4. If r1a n dr2 are the radii of the smallest and the largest circles, re...

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  5. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair o...

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  6. P is a point (a , b) in the first quadrant. If the two circles which p...

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  7. Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 an...

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  8. Find the locus of the centres of the circle which cut the circles x^2+...

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  9. Tangent are drawn to the circle x^2+y^2=1 at the points where it is me...

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  10. If the line xcostheta+ysintheta=2 is the equation of a transverse comm...

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  11. about to only mathematics

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  12. The circles having radii r1a n dr2 intersect orthogonally. The length ...

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  13. The two circles which pass through (0,a)a n d(0,-a) and touch the line...

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

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  16. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

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  17. The coordinates of two points Pa n dQ are (x1,y1)a n d(x2,y2)a n dO is...

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  18. If the circumference of the circle x^2 + y^2 + 8x + 8y - b = 0 is bise...

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  19. Equation of the circle which cuts the circle x^2+y^2+2x+ 4y -4=0 and ...

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  20. The minimum radius of the circle which contains the three circles, x^...

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