Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2016MathematicsTrigonometric Ratios & IdentitiesActual

If x + y = z , then what is the value of ( x - y )^2 ?

Options

  1. Ax^2+y^2-z^2
  2. Bx^2-y^2-z^2
  3. Cx^2-y^2+z^2
  4. Dx^2+y^2+z^2

Correct answer

A. x^2+y^2-z^2

Step-by-step solution

Here, z=x +y aligned & z^2=x^2 ^2 +y^2 ^2 +2 x y & 2 x y =z^2-x^2 ^2 -y^2 ^2 aligned Let, L=(x -y )^2 aligned & L=x^2 ^2 +y^2 ^2 -2 x y & L=x^2 ^2 +y^2 ^2 - [z^2-x^2 ^2 -y^2 ^2 ] & L=x^2 [ ^2 + ^2 ]+y^2 [ ^2 + ^2 ]-z^2 & L=x^2+y^2-z^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