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The tangent at a point P on the hyperbol...

The tangent at a point `P` on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` meets one of the directrix at `Fdot` If `P F` subtends an angle `theta` at the corresponding focus, then `theta=` `pi/4` (b) `pi/2` (c) `(3pi)/4` (d) `pi`

A

`pi//4`

B

`pi//2`

C

`3pi//4`

D

`pi `

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The correct Answer is:
b
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FIITJEE-HYPERBOLA-SOLVED PROBLEMES (OBJECTIVE)
  1. For a hyperbola, the foci are at (pm 4, 0) and vertices at (pm 2 , 0) ...

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  2. The equation of the line passing through the centre of a rectangular h...

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  3. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 me...

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  4. The point of intersection of the curve whose parametrix equations are ...

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  5. If a rectangular hyperbola (x-1)(y-2)=4 cuts a circle x^(2)+y^(2)+2gx+...

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  6. The equation (x-alpha)^2+(y-beta)^2=k(lx+my+n)^2 represents

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  7. The angle between the hyperbola xy = c^(2) " and " x^(2) - y^(2) = a^(...

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  8. If (asectheta;btantheta) and (asecphi; btanphi) are the ends of the fo...

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  9. The equation 16x^(2) - 3y^(2) - 32x - 12y - 44 = 0 represents a hyper...

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  10. Locus of mid point of AB is

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  11. If the eccentric angle of point on the hyperbola where the common tang...

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  12. If the eccentric angle of the point of contact of common tangent on th...

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  13. Angle subtended by AB at centre the hyperbola is

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  14. Let xy - 2x - y + 2 = 0 are the asymptotes of a hyperbola H, passing ...

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  15. If four points be taken on a rectangular hyperbola such that the chord...

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  16. Let the normals are drawn (alpha, beta ) to the hyperbola xy = 1 " and...

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  17. Combined equation of pair of tangent to the hyperbola x^(2) - y^(2) = ...

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  18. Let the circle (x - 1)^(2) + (y - 1)^(2) = 25 cuts a rectangular with ...

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  19. A hyperbola has one focus at (1, 2) , its corresponding directrix is x...

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  20. Which of the following is CORRECT combination ?

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