Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2017MathematicsTrigonometric Ratios & Identities

The sides a, b, c of a triangle are in AP. If = a b+c , = b c+a , = c a+b then ² 2 + ² 2 =

Options

  1. A1
  2. B1 2
  3. C1 3
  4. D2 3

Correct answer

D. 2 3

Step-by-step solution

1 = a b+c 1 = b+c a By componendo and dividendo,we have 1- 1+ = b+c-a b+c+a ² 2 = b+c-a 3 b array l a, b, c are in A.P. 2 b=a+c array 1- 1+ = a+b-c a+b-c ² 2 = a+b-c 3 b ² 2 + ² 2 = 2 b 3 b = 2 3

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If x+ x= 1 2 and 0 < x < , then x= 2025If A and B are acute angles satisfying 3 ^2 A+2 ^2 B=4 and 3 A B = 2 B A , then A+2 B= 2025In a ABC , if ^2 ~B = A and 2 ^2 ~A =3 ^2 ~B , then the triangle is 202512 2 12 3 12 4 12 5 12 6 12 = 2025If ( 4 + )= ^3 ( 4 + ) , then ( + ) ( - )= 2025If A+B+C+D=2 , then A+ B+ C+ D= 2025(4 ^2 20 -1 ) (4 ^2 3 20 -1 ) (4 ^2 5 20 +1 ) (4 ^2 7 20 -1 ) (4 ^2 9 20 -1 )= 2025If A and B are the values such that (A+B) and (A-B) are not odd multiples of 2 and 2 (A+B)=3 (A-B) , then A A= 2025 Full Trigonometric Ratios & Identities list All COMEDK PYQs