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The point (4, − 3) with respect to the ellipse 4x2 + 5y 2 = 1 (1) lies on the curve (2) lies outside the curve (3) lies inside the curve (4) is the focus |
Answer» <p><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Correct option (2) lies outside the curve</strong></span></span></p><p><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Explanation: </strong></span></span></p><p><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">E ≡ f(x, y) ≡ 4x<sup>2</sup> + 5y 2 − 1</span></span></p><p><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">f(4, − 3) = 108 is positive. </span></span></p><p><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">∴ (4, − 3) lies outside the ellipse.</span></span></p> | |