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The condition that the line x cos alpha ...

The condition that the line x` cos alpha + y sin alpha =p` to be a tangent to the hyperbola ` x^(2)//a^(2) -y^(2)//b^(2) =1 ` is

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AAKASH SERIES-HYPERBOLA-Solved Examples
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  2. (i) Show that the equation (x^(2))/(9-c) +(y^(2))/(5-c)=1 represents (...

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  3. The condition that the line x cos alpha + y sin alpha =p to be a tange...

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  4. Find the equation of the tangents to the hyperbola 3x^(2)-4y^(2)=12 wh...

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  5. Tangents are drawn from (-2,1) to the hyperola 2x^(2)-3y^(2)=6. Find t...

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  6. The product of the perpendicular from the foci on any tangent to the h...

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  7. The equation of the normal to the hyperbola x^(2) -4y ^(2) =5 at (3,-...

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  8. Find the equation of the normal at theta=(pi)/(3) to the hyperbola 3x^...

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  9. Prove that the product of the perpendicular from any point on the hype...

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  10. If the normal at theta on the hyperola x^(2)/a^(2)-y^(2)/b^(2)=1 meets...

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

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  12. A circle cuts the rectangular hyperbola xy=1 in the points (x(1),y(1)...

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  13. If four points be taken on a retangular hyperola such that the chords ...

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  14. What is the equation to the hyperbola if its latusrectum is 9/2 and ec...

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  15. What are the foci of the hyperbola x^(2)/(36)-y^(2)/(16)=1

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  16. Find the equation of the hyperbola whose foci are (6,4) and (-4,4) and...

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  17. Find the equation of the hyperbola whose foci are (1,2), e=sqrt3 and t...

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  18. Find the eccentricity, foci, length of latusrectum and the equations t...

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  19. The equation of the hyperbola whose focus is origin, eccentricity sqr...

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  20. Find the eccentricity and length of the latus rectum of the hyperbola ...

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