Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET201726 Apr 2017Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

1+ 10^ + 20^ + 30^ =

Options

  1. A4 10^ 20^ 30^
  2. B4 5^ 10^ 15^
  3. C4 10^ 20^ 30^
  4. D4 5^ 10^ 15^

Correct answer

B. 4 5^ 10^ 15^

Step-by-step solution

We have, aligned & 1+ 10^ + 20^ + 30^ & = (1+ 10^ )+ ( 20^ + 30^ ) & =2 5^ +2 25^ 5^ & =2 5^ ( 5^ + 25^ ) & =2 25^ (2 15^ 10^ ) & =4 5^ 10^ 15^ 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 AP EAMCET PYQs