GATE 2026 Chemical Engineering, Q10 · General Aptitude
The correct answer is C, 7 − 4√2.
Question
Circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q, while circle C2 with center O2 and radius r2 touches the square VWXY at points R and S. The two circles touch each other at T. Given r1 = 1 cm and VY = VW = 4 cm, r2 = _____ cm.
- A.
- B.
- C.
- D.
Official answer:
Why
GATE 2026 official key: (C). Solving the tangency conditions (O1O2 = r1+r2, each center offset r from its two adjacent sides) with r1 = 1 cm gives r2 cm.
Explanation cross-checked for consistency. Final answer matches the official IIT answer key.