Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2019MathematicsTrigonometric Ratios & IdentitiesActual

If + =p , then what is ^2(2 ) equal to?

Options

  1. Ap ^2
  2. Bp ^2-1
  3. Cp ^2 (2- p ^2 )
  4. Dp ^2+1

Correct answer

C. p ^2 (2- p ^2 )

Step-by-step solution

+ =p aligned & ( + )^2= p ^2 & ^2 + ^2 +2 = p ^2 & 1+ 2 = p ^2 & 2 = p ^2-1 & ^2 2 =1- ^2 2 =1- ( p ^2-1 )^2 & =1- ( p ^4+1-2 p ^2 )=- p ^4+2 p ^2 & = p ^2 (2- p ^2 ) 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