class 12 maths application of derivatives

A point on the hypotenuse of a right triangle is at distances $a$ and $b$ from the sides of the triangle. Show that the minimum length of the hypotenuse is ${({a^{2/3}} + {b^{2/3}})^{3/2}}.$

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📘 Application of Derivatives NCERT Miscellaneous, Q.12,Page 243 SA

A point on the hypotenuse of a right triangle is at distances $a$ and $b$ from the sides of the triangle. Show that the minimum length of the hypotenuse is ${({a^{2/3}} + {b^{2/3}})^{3/2}}.$

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Refer Practice Questions. Q.No. 59

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