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Show that the equation 9`x^2-16 y^2-18 x+32 y-151=0` represents a hyperbola. Find the coordinates of the centre, lengths of the axes, eccentricity, latus-rectum, coordinates of foci and vertices, equations of the directrices of the hyperbola.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The exhaustive set value of alpha^2 such that there exists a tangent t...

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  2. A variable chord of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(b > a), s...

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  3. Show that the equation 9x^2-16 y^2-18 x+32 y-151=0 represents a hyperb...

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  4. For which of the hyperbolas, can we have more than one pair of perpe...

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  5. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

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  6. If (5,12)a n d(24 ,7) are the foci of a hyperbola passing through the ...

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  7. Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 t...

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  8. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

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  9. If the foci of (x^2)/(a^2)-(y^2)/(b^2)=1 coincide with the foci of (x^...

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  10. The locus of a point whose chord of contact with respect to the circle...

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  11. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents (a)an ell...

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  12. An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1)....

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  13. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

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  14. lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 ...

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  15. If L is the length of the latus rectum of the hyperbola for which x=3a...

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  16. If the chord xcosalpha+ysinalpha=p of the hyperbola (x^2)/(16)-(y^2)/(...

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  17. If the vertex of a hyperbola bisects the distance between its center ...

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  18. If the distance between two parallel tangents having slope m drawn to ...

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  19. The area of triangle formed by the tangents from the point (3, 2) to t...

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  20. If a variable line has its intercepts on the coordinate axes e and e^(...

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