Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Manipal MET2012MathematicsTrigonometric Ratios & Identities

The value of ^2 48^ - ^2 12^ is

Options

  1. A5 +1 8
  2. B5 -1 8
  3. C5 +1 16
  4. DNone of these

Correct answer

A. 5 +1 8

Step-by-step solution

aligned & ^2 48^ - ^2 12^ = 1 2 (2 ^2 48^ -2 ^2 12^ ) & = 1 2 [ (1+ 96^ )- (1- 24^ ) ] & = 1 2 ( 96^ + 24^ ) & = 1 2 [2 ( 96^ +24^ 2 ) ( 96^ -24^ 2 ) ] & = 60^ 36^ & = 1 2 ( 5 +1 4 ) & = 5 +1 8 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 Manipal MET PYQs