Sample questions
You've seen the pattern — here are a few of the actual PYQs.
ESE2024
What is the contour integral ∫_C z² dz along the path C from −1+j to 5+3j and composed of two straight line segments, the first from −1+j to 5+j and the second from 5+j to 5+3j?
- A −4 + 196/3 j ✓
- B −4 − 196/3 j
- C 4 − 196/3 j
- D 4 + 196/3 j
✓ Correct answer: (A)
Engineering › Engineering Mathematics & General
ESE2024
The image in the w plane of the circle |z + 3/4 + j| = 7/4 under the inversion mapping w = 1/z is
- A a circle centre (1/2, 2/3) and radius 7/6
- B a circle centre (1/2, −2/3) and radius 7/6 ✓
- C a circle centre (−1/2, 2/3) and radius 7/6
- D a circle centre (−1/2, −2/3) and radius 7/6
✓ Correct answer: (B)
Engineering › Engineering Mathematics & General
Study how UPSC repeats — not just the papers
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