Multiple Choice Questions on The system of equation kx y z 1 x ky z k and x y kz k2 has no solution if k equals ........ for NDA Exam Preparation

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Multiple Choice Questions

The system of equation kx y z 1 x ky z k and x y kz k2 has no solution if k equals ........

Mathematics (NDA) Quadratic Equations
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    The system of equation kx + y + z = 1, x + ky + z = k and x = y + kz = k2 has no solution if k equals

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    Explanation:

    \begin{vmatrix} k &1 &1 \\ 1& k & 1\\ 1& 1 & k \end{vmatrix}=0

    ⇒k(k2−1)−(k−1)+(1−k)=0
    ⇒k(k+1)−1−1]=0⇒k2+k−2=0
    ⇒1,−2
    For k=1, first two equations will become same.
    ⇒k=−2

    By: Munesh Kumari
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