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NCERT Class XI Mathematics - Conic Sections - Solutions
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Question : 47 of 71
Marks:
+1,
-0
Major axis on the x-axis and passes through the points (4, 3) and (6, 2).
Solution:
Since the major axis is along the x-axis. ∴ The equation of ellipse in standard form is = 1 Since the ellipse passes through point (4, 3) ∴ = 1 ... (i) Also, the ellipse passes through point (6, 2) ∴ = 1 ... (ii) Solving (i) and (ii), we get = 52 and = 13 Hence the required equation of ellipse is = 1.
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