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Find the parametric equation of the circ...

Find the parametric equation of the circles : `x^2 + y^2 + 2x - 4y - 1 =0`

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The correct Answer is:
(i) x =3 cos `alpha`, y = 3 sin `alpha`
(ii) x = - 1 + `sqrt(6) cos alpha, y = 2 + sqrt(6) sin alpha`
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MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)
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  2. Find the equation of circle whose centre is (1/2, 1/2) and radius is 1...

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  3. Find the parametric equation of the circles : x^2 + y^2 + 2x - 4y - 1 ...

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  7. Find the equation of the parabola with focus at (3, -4) and directrix ...

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  8. Find the lengths of major and minor axes of the ellipse : (x^(2))/(4...

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  9. Find the lengths of the major and the minor axes, the coordinates of t...

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  10. Find the length of the latus -rectum of the ellipse : (x^(2))/(4) + ...

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  11. The equation of the ellipse whose centre is at origin and which passes...

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  12. Find the equation of the ellipse in the following case: eccentricity e...

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  13. Find the eccentricity of an ellipse if its latus rectum is equal to on...

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  14. The eccentricity of the ellipse if the distance between the foc...

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  15. Find the equation of the ellipse whose major axis is 8 and eccentricit...

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  16. Find the equation of the hyperbola having : vertices (0, +-3) and foci...

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  17. Find the equation of the hyperbola with focus at (pm 2, 0) and e = (3...

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  19. Find the equation of the hyperbola where foci are (0,+-12)and the leng...

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  20. Find the of the hyperbola passing through the points (2, 1) and (4,3)

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