Let the normals at all the points on a given curve pass through a fixed point \((a, b)\). If the curve passes through \((3,-3)\) and \((4,-2 \sqrt{2})\) and given that \(a-2 \sqrt{2} b=3\), then \(\left(a^2+b^2+a b\right)\) is equal to ............

[JEE Main 2021, 26 Feb (Shift 2)]

Question

Let the normals at all the points on a given curve pass through a fixed point \((a, b)\). If the curve passes through \((3,-3)\) and \((4,-2 \sqrt{2})\) and given that \(a-2 \sqrt{2} b=3\), then \(\left(a^2+b^2+a b\right)\) is equal to ............

[JEE Main 2021, 26 Feb (Shift 2)]

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Let the normals at all the points on a given curve pass through a fixed point \((a, b)\). If the curve passes through \(…

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