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If the pair of lines ax^2+2(a+b)xy+by^2=...

If the pair of lines `ax^2+2(a+b)xy+by^2=0` lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then

A

`3a^(2) - 10ab + 3b^(2) = 0`

B

`3a^(2) - 2ab + 3b^(2) = 0`

C

`3a^(2) + 10 ab + 3b^(2) = 0`

D

`3a^(2) + 2ab + 3b^(2) = 0`

Text Solution

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The correct Answer is:
D
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MOTION-CIRCLE-Exercise - 2(Level - I) (Objective Problems | JEE Main)
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  6. A variable circle passes through the fixed point A(p,q) and touches t...

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

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  9. A circle touches the x-axis and also touches the circle with center (...

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  11. If (a,1/a), (b.1/b) , ( c,1/c) , (d , 1/d) are four distinct points on...

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  12. Find the number of point (x ,y) having integral coordinates satisfying...

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  13. The square of the length of tangent from (3, –4) on the circle x^(2) +...

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  14. Three equal circles each of radius r touch one another. The radius of ...

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  15. The locus of the mid points of the chords of the circle x^2+y^2-ax-by=...

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  16. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

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  17. The chord of contact of tangents from three points P, Q, R to the circ...

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  18. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

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  19. A pair of tangents are drawn from the origin to the circle x^2+y^2+20(...

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  20. Find the equation of the pair of tangents drawn to the circle x^2 + y^...

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