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Equation of the hyperbola whose vertices are `(+-3,0)` and foci at `(+-5,0)` is a.`16 x^2-9y^2=144` b. `9x^2-16 y^2=144` c. `25 x^2-9y^2=225` d. `9x^2-25 y^2=81`

A

`16x^(2)-9y^(2)=144`

B

`9x^(2)-16y^(2)=144`

C

`25x^(2)-9y^(2)=225`

D

`9x^(2)-25y^(2)=81`

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The equation of the hyperbola whose vertices are at (0, pm6) and eccentricity = (5)/(3) is (i) 16 x ^(2) - 9y^(2) = 576 (ii) 16y^(2)-9x^(2)=576 (iii) 9x^(2)-16y^(2)=576 (iv) 9y^(2)-16x^(2)=576

The equation of ellipse whose vertices are (pm 5, 0) and foci are (pm 4, 0) is (i) (x^(2))/(16)+(y^(2))/(9)=1 (ii) (x^(2))/(9)+(y^(2))/(16)=1 (iii) (x^(2))/(25)+(y^(2))/(9)=1 (iv) (x^(2))/(9)+(y^(2))/(25)=1

The equation of the chord of contact of tangents drawn from a point (2,-1) to the hyperbola 16x^(2)-9y^(2)=144 , is

The locus of the foot of the perpendicular from the center of the hyperbola x y=1 on a variable tangent is (a) (x^2+y^2)^2=4x y (b) (x^2-y^2)=1/9 (x^2-y^2)=7/(144) (d) (x^2-y^2)=1/(16)

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The equation of the tangent to the hyperbola 16x^(2)-9y^(2)=144 at (5,8//3) , is

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Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

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Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Chapter Test
  1. If the tangent at (h, k) on b^2x^2-a^2y^2=a^2b^2 cuts the auxiliary ci...

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  2. If the chords of contact of tangents drawn from P to the hyperbola x^(...

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

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  4. The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)...

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  5. Locus of P such that the chord of contact of P with respect to y^2=4ax...

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  6. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

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  7. If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2), then

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  8. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

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  9. The product of lengths of perpendicular from any point on the hyperbol...

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  10. The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3, is

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  11. Find the area of the triangle formed by any tangent to the hyperbola (...

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  12. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^2...

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  13. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

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  14. The straight line x+y=sqrt(2)p will touch the hyperbola 4x^(2)-9y^(2)=...

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  15. The locus of the point of intersection of perpendicular tangents to th...

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  16. .Find the product of lengths of the perpendiculars from any point on t...

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  17. The angle between the asymptotes of the hyperbola 27x^(2)-9y^(2)=24, i...

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  18. The equation of the chord of contact of tangents from (1,2) to the hyp...

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  19. Equation of the hyperbola whose vertices are (+-3,0) and foci at (+-5,...

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  20. The length of the semi-transverse axis of the rectangular hyperbola xy...

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