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If the curves ax^2+4xy+2y^2+x+y+5=0 and ...

If the curves `ax^2+4xy+2y^2+x+y+5=0` and `ax^2+6xy+5y^2+2x+3y+8=0` intersect at four concyclic points then the value of a is

A

4

B

-4

C

6

D

-6

Text Solution

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The correct Answer is:
B
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PATHFINDER-CIRCLE-QUESTION BANK
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  2. A line meets the co-ordinate axes in A and B. A circle is circumscribe...

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  3. If the curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 inters...

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  4. The distance between the chords of contact of the tangent to the circl...

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  5. The locus of the centre of a circle radius 2 which rolls on the outsid...

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  6. If in a triangleABC (whose circumcentre is at origin), alesinA , then ...

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  7. The point ([P + 1], [P]), (where [.] denotes the greatest integer func...

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  8. Find the equation of the circle whose diameter is the line joining the...

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  9. The circle x^2 + y^2 - 8x + 4y +4 = 0 touches

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  10. The intercept on the line y = x by the circle x^2 + y^2 - 2x = 0 is ba...

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  11. If the equation of a circle is 3x^2 + 3y^2 + kxy + 9x + (k - 6)y + 3 =...

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  12. Let AB be a chord of the circle x^2 + y^2 = r^2 Subtending a right ang...

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  13. If the circle x^2+y^2+6x+8y+a=0 bisects the circumference of the circl...

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  14. If a chord of a circle x^2 + y^2 =32 makes equal intercepts of length ...

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  15. The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2...

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  16. The equations of the tangents to the circle x^2 + y^2 = 25 which are i...

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  17. The number of tangents to the circle x^2 + y^2 - 8x - 6y + 9 = 0 which...

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  18. Let x, y be real variable satisfying the x^2 + y^2 + 8x - 10 y - 40 = ...

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  19. The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = ...

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  20. Point M moved on the circle (x - 4)^2 + (y - 8)^2 = 20 Then it broke a...

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