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Find the lengths of the transvers and th...

Find the lengths of the transvers and the conjugate axis, eccentricity, the coordinates of foci, vertices, the lengths of latus racta, and the equations of the directrices of the following hyperbola: `16 x^2-9y^2=-144.`

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The correct Answer is:
`8;6;(5)/(4);(0, pm4); (9)/(2);)pm(16)/(5)`
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ARIHANT MATHS-HYPERBOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the lengths of the transvers and the conjugate axis, eccentricity...

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  2. The locus a point P(alpha,beta) moving under the condition that the li...

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  3. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)+(...

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  4. A hyperbola, having the transverse axis of length 2sin theta, is conf...

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  5. Two braches of a hyperbola

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  6. For the hyperbola (x^2)/(cos^2alpha)-(y^2)/(sin^2alpha)=1 , which of ...

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  7. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

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  8. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

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  9. The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 in...

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  10. The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the...

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  11. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

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  12. Let P(6,3) be a point on the hyperbola parabola x^2/a^2-y^2/b^2=1If t...

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  13. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

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  14. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

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  15. Consider the hyperbola H:x^2-y^2=1 and a circle S with centre N(x2,0) ...

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  16. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

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  17. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

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  18. If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...

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