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Let P(6,3) be a point on the hyperbola x...

Let P(6,3) be a point on the hyperbola `x^2/a^2-y^2/b^2=1`If the normal at the point intersects the x-axis at (9,0), then the eccentricity of the hyperbola is

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the equations to the common tangents to the two hyperbolas (x^2)/...

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  2. A parabola is drawn with focus at one of the foci of the ellipse (x^2)...

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

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  4. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

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  5. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

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  6. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2...

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  7. Let Pi and Pi ' be the feet of the perpendiculars drawn from the foci ...

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

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  9. The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which...

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

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  11. The equation of the ellipse whose axes are coincident with the coor...

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

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  13. An ellipse with major and minor axes lengths 2a and 2b , respectively,...

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

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  15. Let d be the perpendicular distance from the centre of the ellipse x^2...

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  16. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

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  17. A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P ...

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  18. The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^...

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  19. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

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  20. Let any double ordinate P N P ' of the hyperbola (x^2)/(25)-(y^2)/(16)...

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