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CGP EDU Academic Team
Published on: August 14, 2026
Find the eccentricity of the ellipse which meets the straight line 2x – 3y = 6 on the x-axis and the straight line 4x + 5y = 20 on the y-axis and whose axes lie along the coordinates axes.
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Sol. The straight line 2x – 3y = 6 meets the x-axis at A ≡ (3, 0) and the straight line 4x + 5y = 20 meets the y-axis at B ≡ (0, 4). Thus, for the given ellipse, we have
eccentricity e = 
= 
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