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The eccentricity of a rectangular hyperb...

The eccentricity of a rectangular hyperbola, is

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The eccentricity of rectangular hyperbola is sqrt(2)

Statement-I A hyperbola whose asymptotes include (pi)/(3) is said to be equilateral hyperbola. Statement-II The eccentricity of an equilateral hyperbola is sqrt(2).

If the eccentricity of a hyperbola is sqrt(3) , the eccentricity of its conjugate hyperbola, is

Statement-I If eccentricity of a hyperbola is 2, then eccentricity of its conjugate hyperbola is (2)/(sqrt(3)) . Statement-II if e and e_1 are the eccentricities of two conjugate hyperbolas, then ee_1gt1 .

If the eccentricity of the standard hyperbola passing through the point (4, 6) is 2, then the equation of the tangent to the hyperbola at (4, 6) is

If the eccentricity of the standard hyperbola passing through the point (4,6) is,2, then the equation of the tangent to the hyperbola at (4,6) is :

Important points on eccentricity || Rectangular hyperbola || Condition OF tangency || Position OF a point || equation OF tangent

A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
  1. If alpha and beta be the angles subtended by the major axis to an elli...

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  2. The equation x^2-3xy+y^2+10x-10y+21=0represents a having its centre at...

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  3. The eccentricity of a rectangular hyperbola, is

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  4. Equation of the ellipse whose focus is (6,7) directrix is x + y + 2 = ...

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  5. The latus rectum of an ellipse is 10 and the minor axis Is equal to th...

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  6. Find the equation of an ellipse hose axes lie along the coordinate ...

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  7. if in a hyperbola the eccentricity is sqrt3 and the distance between t...

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  8. Show that the equation x^2-2y^2-2x+8y-1=0 represents a hyperbola. Find...

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  9. Find the equations of normal to the parabola y^2=4a x at the ends of t...

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  10. Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 wit...

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  11. The number of maximum normals that can be drawn from any point to an e...

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  12. If a tangent to the ellipse x^2/a^2+y^2/b^2=1, whose centre is C, me...

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  13. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

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  14. If the line lx+my+n=0 touches the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

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  15. Show that 3x^(2) - 3y^(2) - 18x + 12y + 2 = 0 represents a rectangular...

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  16. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

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  17. If the tangent and normal to a rectangular hyperbola cut off intercept...

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  18. The equation 14x^2 - 4xy+ 11y^2 - 44x - 58y + 71 = 0 represents

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  19. If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(...

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  20. Find the eccentric angle of a point on the ellipse x^2 + 3y^2 = 6 at a...

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