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COMEDK2018MathematicsTrigonometric Ratios & Identities

If A- B=x and B- A=y , then (A-B)=

Options

  1. A1 y - 1 x
  2. B1 x - 1 y
  3. C1 x + 1 y
  4. DNone of these

Correct answer

C. 1 x + 1 y

Step-by-step solution

We have, aligned A- B &=x and B- A &=y 1 B - 1 A &=y A- B A B &=y A B &= x y A B &= y x Now, (A-B) &= 1+ A B B- A &= 1+ y x y = x+y x y = 1 y + 1 x aligned

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