CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at August 14, 2026 by Teachoo
This question is similar to NCERT-Exemplar---MCQ/
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https://www.teachoo.com/13386/3602/Question-1/category/NCERT-Exemplar---MCQ/
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![[MCQ Class 10] O is the point of intersection of two chords AB & CD - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard](https://cdn.teachoo.com/156330e6-eefb-41ce-b054-a51cd0b9a1d2/slide24.jpg)
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Transcript
Question 10 O is the point of intersection of two chords π΄π΅ and πΆπ· of a circle If β π΅ππΆ=80^β and ππ΄=ππ· then β³ππ·π΄ and β³ππ΅πΆ are (A) equilateral and similar (B) isosceles and similar (C) isosceles but not similar (D) not similar Here, β AOD = β COB Also, β ODA = β OBC (Vertically opposite angles) (Angle in the same segment are equal) Now, In Ξ ODA & Ξ OBC β AOD = β COB β ODA = β OBC β΄ Ξ ODA ~ Ξ OBC Since triangles are similar, their sides are proportional ππ΄/ππΆ=ππ·/ππ΅=π΄π·/πΆπ΅ For πΆπ¨/πΆπͺ=πΆπ«/πΆπ© Putting OD = OA (From (1)) (From (2)) (AA similarity) πΆπ¨/πΆπͺ=πΆπ¨/πΆπ© OC = OB Thus, in Ξ OBC Two sides are equal, so it is isosceles Also, in Ξ ODA Given OA = OD, two sides are equal, so it is isosceles Hence, Ξ ODA & Ξ OBC are Isosceles Similar So, the correct answer is (B)
