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Study the Assertion and Reason and choose the correct option.

Consider . The value of

Assertion: Consider $\Delta = \begin{vmatrix} 2a & 2b & 2c \\ 2e & f & g \\ 2i & j & k \end{vmatrix}$. The value of $\Delta = 4 \times \begin{vmatrix} a & b & c \\ e & f & g \\ i & j & k \end{vmatrix}$

Reason: If all elements of one row or one column of a determinant are multiplied by a scalar, $k$ then the value of the determinant is multiplied by $k$. (Analysis) Which of the following is correct?

• (a)Both Assertion and Reason are true, and Reason is the correct explanation for Assertion.
• (b)Both Assertion and Reason are true, but Reason is not the correct explanation for Assertion.
• (c)Assertion is true and Reason is false.
• (d)Assertion is false and Reason is true.

Answer

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From ISC 2026 Specimen Mathematics Paper 1, question 1(iv).