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A hyperbola having the transverse axis of length `2sintheta`, 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^2 theta- y^2 cosec^2 theta =1`

C

`x^2 sec^2 theta- y^2 cos^2 theta =1`

D

`x^2 cos^2 theta- y^2 sin^2 theta=1`.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Consider a family of circles which are passing through the point (-1,1...

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  2. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+"...

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  3. A hyperbola having the transverse axis of length 2sintheta, is confoca...

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  4. For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1, whi...

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  5. The perpendicular bisector of the line segment joining P(1,4) and Q (k...

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  6. The point diametrically opposite to the point P(1,0) on the circle x^(...

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  7. A parabola has the origin as its focus and the line x=2 as the directr...

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  8. A focus of an ellipse Is that the rigin. The directrix is the line x=4...

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  9. Consider three points : P (- sin (beta- alpha), - cos beta), Q = (cos...

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  10. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then,

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  11. Let a and b be non-zero real numbers. Then the equation : (ax^2 + by^2...

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  12. Consider a branch of the hyperbola : x^2 -2y^2-2sqrt2x-4sqrt2y-6=0 wit...

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  13. Tangents drawn from the piont P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

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  14. The tangent PT and the normal PN to the parabola y^2=4ax at a point P ...

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  15. The line passing through the extremity A of the major axis and extremi...

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  16. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  17. The normal at a point P, on the ellipse x^2+4y^2=16 meets the x-axis a...

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  18. The locus of the orthocentre of the triangle formed by the lines : (1 ...

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  19. An ellipse intersects the hyperbola 2x^2- 2y^2 = 1 orthogonally. The e...

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  20. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q = 0 are ...

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