Question 168 of DSSSB TGT Computer Science PYQ, 24 Jun 2023, Shift 3 (4:30 PM)

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Correct answer: (B) 0
Explanation
u = tan⁻¹(y/x) is a homogeneous function of degree 0. By Euler's theorem, x∂u/∂x + y∂u/∂y = 0 × u = 0.

Correct answer: (B) 0
Explanation
u = tan⁻¹(y/x) is a homogeneous function of degree 0. By Euler's theorem, x∂u/∂x + y∂u/∂y = 0 × u = 0.
This is question 168 of DSSSB TGT Computer Science PYQ, 24 Jun 2023, Shift 3 (4:30 PM). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.