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Find the following things of an ellipse ` 9x^2 + 4y^2 + 18x - 16y = 11`, co-ordinates of. centre, co-ordinates of foci, equation of directrices, length of latus rectum and eccentricity.

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Find the equations of the directrices of the ellipse x^(2) + 4y^(2) = 4

Find (i) the lengths of axes (ii) the length of latus rectum (iii) coordinates of vertices (iv) eccentricity (v) coordinates of foci and (iv) equations of directrices of each of the following ellipses : x^(2) + 4y^(2) = 16

Find (i) the lengths of axes (ii) the length of latus rectum (iii) coordinates of vertices (iv) eccentricity (v) coordinates of foci and (iv) equations of directrices of each of the following ellipses : 9x^(2) + 4y^(2) = 36

Find the lengths of the transverse and the conjugate axis, eccentricity, the coordinates of foci, vertices, the lengths of latus racta, and the equations of the directrices of the following hyperbola: 16 x^2-9y^2=144.

Find (i) the lengths of axes (ii) the length of latus rectum (iii) coordinates of vertices (iv) eccentricity (v) coordinates of foci and (iv) equations of directrices of each of the following ellipses : 16x^(2) + 25y^(2) = 400

Find (i) the lengths of axes (ii) the length of latus rectum (iii) coordinates of vertices (iv) eccentricity (v) coordinates of foci and (iv) equations of directrices of each of the following ellipses : 4x^(2) + 3y^(2) = 1

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. x^(2)=-9y

Find (a) the lengths of the major and minor axes (b) the length of latus rectum (c) coordinates of vertices (d) eccentricity (e) coordinates of foci and (f) the equations of directrices for the following ellipse : 9x^(2) +25y^(2) = 225

Find (a) the lengths of the major and minor axes (b) the length of latus rectum (c) coordinates of vertices (d) eccentricity (e) coordinates of foci and (f) the equations of directrices for the following ellipse : 25x^(2) + 9y^(2) = 225

The coordinates of the centre of the ellipse 4x^(2) + 9y^(2) - 16 x + 18 y - 11 = 0 are _

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 5-EXERCISE
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  18. Show that x = ay^2 + by + c represents the equation of a parabola. Fin...

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  19. Find the following things of an ellipse 9x^2 + 4y^2 + 18x - 16y = 11...

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  20. If S, S' are the foci and' P any point on the rectangular hyperbola x^...

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