Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2011MathematicsTrigonometric Ratios & IdentitiesActual

If an angle is divided into two parts A and B such that A-B=x and A: B=2: 1 , then what is equal to?

Options

  1. A3
  2. B(2 ) / 3
  3. C( ) / 3
  4. D2

Correct answer

C. ( ) / 3

Step-by-step solution

aligned & Given that A B = 2 1 & aligned & A B A B = 2 1 & A B- A B= A B aligned & aligned ( A - B ) & = 1 2 2 A B & = 1 2 (A+B)- (A-B) aligned aligned aligned & ( A - B )= x= 1 2 ( - x) & 2 x+ x= & x= 3 aligned

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If lies in the fourth quadrant and 3 +4=0 , then what is the value of 2 + 2 ? 2026If + =0= + , then what is a value of 2 + 2 +2 ( + ) ? 2026If 2 4 = 2 + 2 , then which one of the following is a possible value of ( + ) ? 2026If x= - and y= + , then which one of the following is correct ? 2026If = 1 3 , then what is the value of ( 2 ) ( 3 2 ) ? 2026If A and B are acute angles such that 2A+2B= , then what is the maximum value of A B ? 2026x+ 3 x is maximum when x is equal to 2026In a triangle ABC , A= B+ C then what is ( B 2 )+ ( B 2 ) equal to ? 2026 Full Trigonometric Ratios & Identities list All NDA PYQs