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The tangents at an extremity (in the first quadrant ) of latus rectum of the hyperbola `(x^(2))/( 4) - ( y^(2))/( 5)=1 ` meets x-axis and y- axis at A and B respectively . Then ` (OA)^(2) - (OB) ^(2) , `where O is the origin , equals

A

`-(20 )/( 9) `

B

` (16)/(9) `

C

` 4`

D

` -(4)/(3) `

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AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
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  9. If S1 and S2 are the foci of the hyperbola whose transverse axis le...

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  10. Statement 1 : Ellipse (x^(2))/( 25) + ( y^(2))/( 16) =1 and 12x^(2)...

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  11. Statement 1: If a circle S = 0 intersects a hyperbola xy =4 at four p...

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  12. Statement 1: Equation of tangents to the hyperbola 2x^(2) -3y^(2) =6 ...

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  13. Statement 1 : There are infinite points from which two mutually perpen...

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  14. If x= 9 is a chord of contact of the hyperbola x^(2) -y^(2) =9, then ...

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  15. Statement 1 : If (3,4) is point on a hyperbola having focus (3,0 ) a...

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  16. A tangent to the hyperbola (x^(2))/( 4) -(y^(2))/( 2) =1 meets x-axis...

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  17. A common tangent to the conic x^(2) = 6y and 2x^(2) -4y^(2) =9 is

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  18. If P( 3 sec theta, 2 tan theta ) and Q( 3sec phi, 2 tan phi ) " wher...

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  19. A common tangent to x^(2)-2y^(2) =18 and x^(2)+ y^(2) =9 is

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  20. The tangents at an extremity (in the first quadrant ) of latus rectum...

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