MHT CET202015 Oct 2020Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual
If (y+z-x), (z+x-y) and (x+y-z) are in A.P., then
Options
- A2 y= x- z
- By= x+ z
- C2 y= x+ z
- Dy= x- z
Correct answer
C. 2 y= x+ z
Step-by-step solution
As (y+z-x), (z+x-y) and (x+y-z) are in A.P. (z+x-y)- (y+z-x)= (x+y-z)- (z+x-y) 2 z (x-y)=2 x (y-z) z (x-y)= x (y-z) z (x-y) x y z = x (y-z) x y z (x-y) x y = (y-z) y z Using (A-B) A B = A- B x- y= y- taz y- x= z- y x, y and z are in A.P.