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If the two circle x^(2) + y^(2) - 3x...

If the two circle
`x^(2) + y^(2) - 3x + ky - 5 = 0 ` and
` 4x^(2) + 4y^(2) - 12x - y - 9 = 0 ` are concentric , then : k =

A

`-(1)/(8)`

B

`1/8`

C

`1/4`

D

`-(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. The sides of a square are x=2,x=3,y=1andy=2. Find the equation of the ...

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  2. If the equation 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 rep...

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  3. If the two circle x^(2) + y^(2) - 3x + ky - 5 = 0 and 4x^(2) ...

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  4. Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mi...

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  5. Find the equation of the circle passing through the origin and the ...

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  6. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

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  7. Area of a circle in which a chord of length sqrt(2) makes an angle (pi...

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  8. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

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  9. Centre of the circle toucing y-axis at (0,3) and making an intercept 2...

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  10. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

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  11. Abscissas of two points P and Q are roots of the equation x^(2) + 2x ...

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  12. The radius of the circle sqrt(1 + a^(2)) (x^(2) + y^(2)) - 2bx - 2...

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  13. If line 3x - y + c = 0 touches circle x^(2) + y^(2) - 2x + 8y - 2...

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  14. Given A -= (2,4) " and " C -= (4,-2) . If Delta ABC is right-angle...

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  15. If y = 2x + k " touches " x^(2) + y^(2) - 4x - 2y = 0 , then k=

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  16. If line x cos alpha + y sin alpha = p " touches circle " x^(2) + y^(...

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  17. If line 4x + 3y + k = 0 " touches circle " 2x^(2) + 2y^(2) = 5x , t...

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  18. Equation of circle which touches line x = y at the origin , and passe...

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  19. If the line (x)/(a) + (y)/(b)= 1 touches the circle x^(2) + y^(2) ...

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

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