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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. P N is the ordinate of any point P on the hyperbola (x^2)/(a^2)-(y^2)/...

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  2. If P Q R is an equilateral triangle inscribed in the auxiliary circle ...

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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. Find the equation of hyperbola, whose center is (-3,2), one vertex is ...

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  5. An ellipse passing through the origin has its foci (3, 4) and (6, 8). ...

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  6. The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 ...

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  7. Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-...

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  8. An ellipse having foci at (3, 3) and (-4,4) and passing through the or...

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  9. If Sa n dS ' are the foci, C is the center, and P is a point on a r...

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  10. Pa n dQ are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is...

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

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  12. A line of fixed length a+b moves so that its ends are always on two fi...

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  13. The equation of the transvers and conjugate axes of a hyperbola are, ...

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  14. Show that the acute angle between the asymptotes of the hyperbola (x^2...

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  15. With a given point and line as focus and directrix, a series of ell...

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

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  17. Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 a...

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  18. If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at fo...

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  19. The equation 16 x^2-3y^2-32 x+12 y-44=0 represents a hyperbola. (a)the...

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  20. If the base of a triangle and the ratio of tangent of half of base ang...

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