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about to only mathematics

A

15

B

24

C

17

D

14

Text Solution

Verified by Experts

The correct Answer is:
C
`P(a sec.(pi)/(6),b tan.(pi)/(6))-=P((2a)/(sqrt3),(b)/(sqrt3))`
Therefore, the equation of tangent at P is
`(x)/(sqrt3a//2)-(y)/(sqrt3b)=1`
`therefore" Area of triangle"=(1)/(2)xx(sqrt3a)/(2)xxsqrt3b=3a^(2)"(Given)"`
`"or "(b)/(a)=4`
`"or "e^(2)=1+(b^(2))/(a^(2))=17`
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CENGAGE-HYPERBOLA-Exercise (Single)
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  5. The locus of a point whose chord of contact with respect to the circle...

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  7. The number of possible tangents which can be drawn to the curve 4x^2-9...

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

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  9. Locus of the feet of the perpendiculars drawn from either foci on a va...

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  10. P is a point on the hyperbola (x^(2))/(y^(2))-(y^(2))/(b^(2))=1, and N...

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  11. Find the point on the curve 3x^2-4y^2=72 which is nearest to the line ...

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

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  13. The locus of a point, from where the tangents to the rectangular hy...

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  14. If tangents P Qa n dP R are drawn from a variable point P to thehyperb...

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  15. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from w...

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  16. If a ray of light incident along the line 3x+(5-4sqrt(2))y=15 gets ref...

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  17. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

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  18. The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at r...

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  20. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

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