GATE EE 2026 Set 1 — Question 7
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
In the given figure, is the diameter of a circle with center . Two points and are chosen on the circle such that . When and are extended, they meet at . The value of is _________________
Correct answer
(B) 50^
Solution
1.Since is the diameter of the circle, and (angles in a semicircle).
2.Points are collinear and are collinear. Therefore, in , .
3.The angle subtended by arc at the center is . The angle subtended by the same arc at the circumference is .
4.In the right-angled triangle , the sum of angles is :
5.Thus, .
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