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NCERT Class XI Mathematics - Conic Sections - Solutions
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Question : 46 of 71
Marks:
+1,
-0
Centre at (0, 0), major axis on the y-axis and passes through the points (3, 2) and (1, 6)
Solution:
Since the major axis is along y-axis. ∴ The equation of ellipse in standard form is = 1 Since the ellipse passes through the point (3, 2) ∴ = 1 ... (i) Also, the ellipse passes through point (1, 6) ∴ = 1 ... (ii) Solving (i) and (ii), we get = 40 and = 10 Hence the required equation of ellipse is = 1.
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