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MHT CET202124 Sep 2021Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If (y+z-x), (z+x-y) and (x+y-z) are in A P , then

Options

  1. Ay= x+ z
  2. By= x- z
  3. C2 y= x+ z
  4. D2 y= x- z

Correct answer

C. 2 y= x+ z

Step-by-step solution

We have 2 (z+x-y)= (y+z-x)+ (x+y-z) aligned & ( y + z - x )- ( z + x - y )= ( z + x - y )- ( x + y - z ) & 2 z ( y - x )=2 x ( z - y ) & z ( y x - y x )= x ( z y - z y ) & x y z - x y z = x y z & - x y z & Dividing both sides by x y z , we get & y - x = z - y & 2 y = x + z aligned

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