AP EAMCET20227 Jul 2022Evening ShiftMathematicsQuadratic EquationActual

If y^2+z^2=3 y z, z^2+x^2=8 z x, x^2+y^2=4 x y . then the value of y^2 x z + x z y^2 is

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Correct answer

C. 4

Step-by-step solution

(c) aligned & y^2+z^2=3 y z y z + z y =3 & z^2+x^2=8 z x z x + x z =8 & x^2+y^2=4 x y x y + y x =4 aligned From Eqs. (i) and (iii), ( y z + z y ) ( x y + y x )= x z + z x + y^2 x z + x z y^2 =12 y^2 x z + x z y^2 =12-8=4 [ . from Eq. (ii), . x z + z x =8 ]

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