Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202316 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If ^3 x 4 x = _ r =0 ^ n a _ r rx x R , then a₃+a₅: a₁+a₇=

Options

  1. A1: 3
  2. B1: 1
  3. C2: 1
  4. D3: 1

Correct answer

D. 3: 1

Step-by-step solution

^3 x 4 x= 1 2 (2 4 x x) ^2 x aligned & = 1 2 [ 5 x+ 3 x] ^2 x & = 1 4 [ 6 x+2 4 x+ 2 x] x & = 1 8 [ 7 x+3 5 x+3 3 x+ x] & =a₁ x+a₂ 2 x+a₃ 3 x+ . & a₁= 1 8 , a₃= 3 8 , a₅= 3 8 , a₇= 1 8 aligned Now, a₃+a₅: a₁+a₇=3: 1

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 AP EAMCET PYQs