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Find the vertices of the hyperbola 9x^2=...

Find the vertices of the hyperbola `9x^2=16 y^2-36 x+96 y-252=0`

A

`(2,3)`

B

`(-2,-3)`

C

`(-2,3)`

D

`(2,-3)`

Text Solution

Verified by Experts

The equation of the hyperbola is
`((x-2)^(2))/(4^(2))-((y-3)^(2))/(3^(2))=1`
Clearly, its centre is at `(2,3)`
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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Section I - Solved Mcqs
  1. The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (...

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  2. Find the vertices of the hyperbola 9x^2=16 y^2-36 x+96 y-252=0

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  3. Find the vertices of the hyperbola 9x^2=16 y^2-36 x+96 y-252=0

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  4. The eccentricity of the hyperbola with latursrectum 12 and semi-conjug...

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  5. The equation of the hyperbola with vertices (3,0) and (-3,0) and semi-...

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  6. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

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

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  8. If m is a variable, then prove that the locus of the point of intersec...

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  9. If the chords of contact of tangents fromtwo points (x1,y1) and (x2,y2...

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  10. The equation of the chord joining two points (x1, y1) and (x2, y2) on ...

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  11. From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents a...

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  12. P Q and R S are two perpendicular chords of the rectangular hyperbola ...

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  13. If P N is the perpendicular from a point on a rectangular hyperbola x ...

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  14. The combined equation of the asymptotes of the hyperbola 2x^(2)+5xy+2y...

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  15. about to only mathematics

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  16. The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2)...

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  17. about to only mathematics

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  18. A hyperbola having the transverse axis of length 2 sin theta is confoc...

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  19. Prove that the locus of the point of intersection of the tangents at t...

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  20. If angle subtended by any chord of a rectangular hyperbola at the cen...

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