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If the equation a^(2) x^(2) + (a^(2...

If the equation
` a^(2) x^(2) + (a^(2) - 5a + 4) xy + (3a - 2) y^(2) - 8x + 12y - 4 = 0 `
represents a circle , then : a =

A

1

B

4

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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MARVEL PUBLICATION-CIRCLE AND CONICS -MISCELLANEOUS MCQs
  1. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

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  2. If the circles of same radius a and centres (2,3), (5,6) cut orthogona...

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  3. If the equation a^(2) x^(2) + (a^(2) - 5a + 4) xy + (3a - 2) y^(2...

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  4. The (x-x1)(x-x2)+(y-y1)(y-y2=0 represents a circle whose centre is

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  5. Two circles with centres at C(1) , C(2) and having radii r(1) , r(2...

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  6. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

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  7. If the line x + 2by + 7 = 0 is a diameter of the circle x^(2) ...

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  8. If the circle x^(2) + y^(2) - kx - 12y + 4 = 0 touches the X-axis th...

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  9. The equation of the circle which touches both axes and whose centre is...

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  10. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

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  11. Centre of the circle (x - x(1)) (x-x(2)) + (y-y(1)) (y- y(2)) = 0 ...

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  12. Delta ABC is right angled at C . If A -= (-3,4) " and " B -= (3,4) t...

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  13. If the equation , px^(2) + (2-q) xy + 3y^(2) - 6qx + 30y +6y = 0 ...

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  14. Circle x ^(2) + y^(2)+6y=0 touches

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  15. Equation of the circle with centre at (1,-2) , and passing through th...

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  16. Equation of the circle concentric with the circle x^(2) + y^(2) + ...

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  17. Equation of the circle passing through the three points (0, 0) , (0...

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  18. A circle is concentric with the circle x^(2) + y^(2) - 6x + 12y + ...

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  19. Equation of the circle with centre on the X-axis , radius 4 , and pass...

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  20. the equation of the circle passing through the point (2,1) and touchin...

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