Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Most Important Selected Qs for JEE AdvancedMathematicsTrigonometry

If ( 1 4 36^ 54^ )^2- ( 12^ 36^ 48^ 72^ )^2= a -b c where a, c are relatively prime numbers, then find the value of (a+b+c) .

Correct answer

70

Step-by-step solution

aligned & 1 16 ( 36^ 54^ )^2- ( 1 4 36^ 36^ )^2 & 1 16 ( ^2 36^ - ^2 36^ )= 1 16 72^ = 5 -1 64 a -b c & (a+b+c)=5+1+64=70 aligned

Practice Trigonometry on Quantrex Academy →

More from Trigonometry

The number of real root(s) of the equation x^2 x=1 lie(s) between 0 and 2 is/areIf |x^2- 4 + x-2 |= |x^2-2 |+| x|+ 4 thenIf 3 x+ (2 x- 7 6 )=-2 , then x is equal to ( where m I)What is the minimum value of ^4 ^2 + ^4 ^2 for , B k 2 , k Z ?If x+ y x x R then y+ is equal toIf A, B are the roots of the quadratic equation a b x^2-c^2 x+a b=0 where a, b, c are sides of the A B C then ^2 A+ ^2 B+ ^2 C isIf and - are the roots of the equation a x^2-b x-c=0 , where a, b, c are the sides of a triangle A B C , then B is equal toIf 2 ^2 ( 2 ^2 x )=1- ( 2 x), x (2 n+1) 2 , n I , then Full Trigonometry list All Most Important Selected Qs for JEE Advanced PYQs