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A hyperbola, having the transverse axis ...

A hyperbola, having the transverse axis of length 2 `sin theta`, is confocal with the ellipse `3x^(2) + 4y^(2) = 12`. Then its equation is

A

`x ^(2) cosec^(2) theta -y ^(2) sec^(2) theta =1`

B

`x ^(2) sec theta - y^(2) cosec ^(2) theta =1`

C

`x^(2) sin 0-y^(2) cos ^(2) theta=1`

D

`x ^(2) cos ^(2) theta -y^(2) sin ^(2) theta -1 `

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A
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FIITJEE-MATHEMATICS -OBJECTIVE
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  2. The eccentricity of the ellipse ax ^(2) + by ^(2) + 2 fx + 2gy + c =0 ...

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  3. A hyperbola, having the transverse axis of length 2 sin theta, is conf...

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  4. If x ^(2) + y^(2) - 14 x - 6y - 6=0, then the maximum possible value o...

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  5. Tangents are drawn from (4,4) to the circle x ^(2) + y ^(2) - 2x -7 =0...

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  6. The value of sin^3 10^0+sin^3 50^0-sin^3 70^0 is equal to -3/2 (b) 3/...

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  7. Two mutually perpendicular chords OA and OB are drawn through the vert...

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  8. The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive intege...

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  9. If the sides of a triangle are in the ratio 1 : sqrt3 : 2, then the an...

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  10. Consider the circle C(1):x ^(2) +y ^(2) -6x - 8y + 15=0, C(2) : x ^(2)...

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  11. In a triangle ABC, IF angle B is twice angle C then c (b +a) is equal ...

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  12. Orthocentre of the triangle formed by the lines whose combined equatio...

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  13. Find the area of quadrilateral formed by 3x ^(2) + y ^(2) - 4xy + 6x -...

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  14. Equation of a straight line passing through the point of intersection ...

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  15. The equation of the image ofthe circle x^2+ y^2 +16x -24y+ 183 =0 by ...

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  16. Equation of common tangent of parabola y ^(2) = 8x and x ^(2) + y =0 i...

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  17. The equation of the ellipse is (x-1) ^(2) + (y -1) ^(2) = 1/9 ((3x + 4...

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  18. One tangent out of the two langents drawn from the centre of the hyper...

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  19. The equations of the sided of a triangle are x+y-5=0,x-y+1=0, and x+y-...

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  20. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

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