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If the normal at the point `t_(1)` to the rectangle hyperola `xy=c^(2)` meets it again at the point `t_(2)` prove that `t_(1)^(3) t_(2)=-1`

A

`2`

B

`-2`

C

` -1`

D

` 1`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
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  3. If the normal at the point t(1) to the rectangle hyperola xy=c^(2) mee...

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  4. The length of the semi treansverse axis of the rectangular hyperbola x...

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  5. Focii of the curve xy = -4 are

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  7. If (xi yi) ,i =1,2,3,4 are concylic points on xy= 4 then x1x2x3x4 =

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  11. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  12. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  14. If a hyperbola passing through the origin has 3x-4y -1=0 and 4x -3y -6...

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  15. The eccentricity of the hyperbola 3x^(2) +7xy +2y^(2) -11x -7y +10 ...

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  16. If H(x,y) =0 represents the equation of a hyperbola and A( x,y ) =0 ,...

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  17. The equation of a hyperbola conjugate to the hyperbola 2x^(2) +3xy -2y...

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  19. A = (1,2) , B= ( 6,-10 ) locus of P such that PA- PB =13 is

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