Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202310 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

In a triangle ABC , with usual notations, if c =4 , then value of (a-b)^2 ^2 C 2 +(a+b)^2 ^2 C 2 is

Options

  1. A4
  2. B16
  3. C9
  4. D2

Correct answer

B. 16

Step-by-step solution

aligned & (a-b)^2 ^2 C 2 +(a+b)^2 ^2 C 2 & = (a^2-2 a b+b^2 ) ^2 C 2 + (a^2+2 a b+b^2 ) ^2 C 2 & = (a^2+b^2 ) ( ^2 C 2 + ^2 C 2 ) & -2 a b ^2 C 2 +2 a b ^2 C 2 & =a^2+b^2-2 a b ( ^2 C 2 - ^2 C 2 ) & =a^2+b^2-2 a b C & =a^2+b^2- (a^2+b^2-c^2 ) [ By Cosine rule ] & =c^2=4^2=16 aligned

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 MHT CET PYQs