AP EAMCET202318 May 2023Morning ShiftMathematicsMatricesActual
If ( array l array )= ( array ccc & - & 0 & & 0 0 & 0 & 1 array ) ( array l x y z array ) , then x^2+y^2+z^2 =
Options
- A^2+ ^2+ ^2 z
- B0
- C+ +
- D1+ ^2+ ^2+ ^2
Correct answer
A. ^2+ ^2+ ^2 z
Step-by-step solution
( array l array )= ( array ccc & - & 0 & & 0 0 & 0 & 1 array ) ( array l x y z array ) ( array l array )= ( array c x - y x + y z array ) aligned & = x x - y & = x + y & = z aligned Equation (i) ^2+( ii )^2: ^2+ ^2= x ^2+ y ^2 Now, x ^2+ y ^2+ z ^2 = ^2+ ^2+ ^2 z