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The equation of the the circle having x ...

The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 as two tangents , and x + y = 0 as a diameter is

A

`x^(2) + y^(2) + 2x - 2y + 1 = 0 `

B

`x^(2) + y^(2) - 2x + 2y - 1 = 0`

C

`x^(2) + y^(2) = 2 `

D

`x^(2) + y^(2) = 1`

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The intercet on the line y = x by the circle x^(2) + y^(2) - 2x = 0 ...

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  19. Find the greatest distance of the point P(10 ,7) from the circle x^2+y...

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  20. Equation of parabola with vertex (0,0) and focus (2,0) is

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