Dhamaal.app
0 votes
24 views
in Trigonometry by (53.8k points)
edited by

Match the following:

Column-I Column-II
(A) If in a triangle ABC, sin2A + sin2B = sin(A + B), then the triangle must be(i) Rightangled
(B) If in a triangle ABC bc/(2 cos A) = b2 + c2 -  2bc cosA , then the triangle must be(ii) Equilateral
(C) If in a triangle ABC,tan A/2 + tan B/2 + tan C/2 = √3, then the triangle must be(iii) Isosceles
(D) If in a triangle the sides and the altitudes are in AP, then the triangle must be (iv) Obtuseangled       

1 Answer

+1 vote
by (53.5k points)
selected by
 
Best answer

Correct option  (A) → (i); (B) → (iii); (C) → (ii); (D) → (ii)

(A)  sin2 (A) + sin2 (B) = sin (A + B)

(B)  bc/2cos A = b2 + c2 - 2bc cos A

Hence, the triangle is isosceles.

The triangle is equilateral.

(D)  If a, b, c are in AP. and ha, hb, hc are in AP, where ha, hb, hc are the altitudes, then a = b = c

The triangle is equilateral

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...