Q. 215.0( 1 Vote )

# Using properties

Answer :

Multiplying R1, R2, R3 by z, x, y Respectively Take common z, x, y from C1, C2 and C3 C1C1 – C3 and C2 C2 – C3

Taking common x + y + z from C1 and C2 R3 R3 - (R1 + R2) C1 zC1 and C2 xC3 C1 C1 + C3 and C2 C2 + C3 Taking z and x common from R1 and R2 Expansion along R3

= (x + y + z)2.(2xz((x + y)(z + y) - xz))

= (x + y + z)2.(2xz((xz + xy + yz + y2 - xz)

= (x + y + z)2.(2xz((xy + yz + y2)

= 2xyz(x + y + z)3

OR     A3 - 6A2 + 7A + KI3 = 0 K = 2

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