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Show that the point (x, y), where x=a+r ...

Show that the point `(x, y)`, where `x=a+r cos theta, y = b + r sin theta`, lies on a circle for all values of `theta`.

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MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Determine whether the following represents a circle , a point or no ci...

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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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  4. Show that the point (x, y), where x=a+r cos theta, y = b + r sin theta...

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  5. Find the equation of the circle when the end points of a diameter of t...

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  6. The equation of the parabola with vertex at the origin passing through...

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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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  18. Find the equation of the hyperbola with vertices at (0, +- 6) and ecce...

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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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