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The equation of a tangent to the hyperbo...

The equation of a tangent to the hyperbola `16x^2-25y^2-96x+100y-356=0`, which makes an angle of `pi/4` with the transverse axis is :

A

`y=x+(2+sqrt(7))`

B

`y=x+(2-sqrt(7))`

C

`y=x+sqrt(7)`

D

`y=x-(2+sqrt(7))`

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
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  8. The angle between the asymptote of the hyperbola 2 x^(2)-2 y^(2)-8 x+1...

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  9. The angle between the asymptotes of the hyperbola, 3 x^(2)-2 y^(2)+4 x...

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  10. Number of points from where perpendicular tangents can be drawn to hyp...

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  11. If a x^(2)+2 h x y+b y^(2)+2 g x+2 f y+c=0 represents a parallel lines...

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  12. Equation of the chord of the hyperbola 25 x^(2)-16 y^(2)=400, which is...

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  13. The equation of a tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2))...

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  15. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

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  17. The centre of the hyperbola 2 x^(2)+5 x y+3 y^(2)+3 x+4 y+9=0 is

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