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Mathematics : Conic Section

Long Answer Type

101.

Find: (i) the co-ordinates of foci.
(ii) the co-ordinates of vertices.
(iii) the length of major axis and minor axis.
(iv) the eccentricity.
(v) latus rectum of ellipse.
$4 straight x squared plus 9 straight y squared equals 1$

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102.

Find: (i) the co-ordinates of foci.
(ii) the co-ordinates of vertices.
(iii) the length of major axis and minor axis.
(iv) the eccentricity.
(v) latus rectum of ellipse.
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Short Answer Type

103. Find the equation of the ellipse that satisfies the following condition:
Vertices (± 6, 0), foci (± 4, 0).

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104. Find the equation of the ellipse that satisfies the following condition:
Vertices (0, ± 13), foci (0, ± 5).

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105. Find the equation of an ellipse that satisfies the following conditions
Ends of major axis at

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, ends of minor axis at

left parenthesis 0 comma space plus-or-minus 2 right parenthesis

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106. Find the equation of an ellipse that satisfies the following conditions
Ends of major axis at

space left parenthesis 0 comma space plus-or-minus square root of 13 right parenthesis comma

ends of minor axis at

space space left parenthesis plus-or-minus 2 comma space 0 right parenthesis

. Also find the co-ordinate of foci.

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107. Find the equation of an ellipse that satisfy the following condition:
Length of major axis 26, foci (± 5, 0).

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108. Find the equation of an ellipse that satisfy the following condition:
Length of minor axis 16, foci (0, ± 6). Find also, the eccentricity .

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109. Find the equation of an ellipse whose major axis is along the x-axis and which passes through the points (6, 3) and (12, 0).

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110. Find the equation of an ellipse whose major axis is along the y-axis and which passes through the points P (2, 2) and Q (1, 4).

105 Views