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If the latus rectum of a hyperbola forms...

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the center of the hyperbola ,then find the eccentricity of the hyperbola.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Statement 1 : If there is exactly one point on the line 3x+4y+5sqrt...

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  3. If the latus rectum of a hyperbola forms an equilateral triangle with ...

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  5. If the latus rectum subtends a right angle at the center of the hyp...

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  6. Statement 1 : The locus of the center of a variable circle touching...

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  7. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

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  8. Statement 1 : A triangle A B C right-angled at A moves so that its per...

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  9. Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-t...

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  10. A ray emanating from the point (5, 0) is INCIDENT on the hyperbola 9x^...

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  11. Statement 1 : If the line x+y=3 is a tangent to an ellipse with focie ...

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  12. Normal is drawn at one of the extremities of the latus rectum of the ...

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  13. Statement 1 : The area of the ellipse 2x^2+3y^2=6 is more than the are...

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  14. An ellipse and a hyperbola are confocal (have the same focus) and the ...

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  15. The point of intersection of the tangents at the point P on the ellips...

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  16. The distance between two directrices of a rectangular hyperbola is 10 ...

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  19. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  20. Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1...

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