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Matrices and Determinants · 2021 · 27 Jul · Shift 1

3 Mathematics questions from this JEE Main paper

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2021 · 27 Jul · Shift 1
Mathematics
Matrices and Determinants

Matrices and Determinants · 2021 · 27 Jul · Shift 1

3 Mathematics questions from this JEE Main paper

Q31.Let $A = [1 - 1 24]$ . If A $-$ 1 = $α$ I + $β$ A, $α$ , $β \in$ R, I is a 2 $\times$ 2 identity matrix then 4( $α - β$ ) is equal to :
Mathematics · Matrices and Determinants · MCQ
Q39.For real numbers $α$ and $β$ , consider the following system of linear equations : x + y $-$ z = 2, x + 2y + $α$ z = 1, 2x $-$ y + z = $β$ . If the system has infinite solutions, then $α$ + $β$ is equal to …
Mathematics · Matrices and Determinants · Numerical
Q43.Let $f (x) = sin^{2} x 2 + sin^{2} x sin^{2} x - 2 + cos^{2} x cos^{2} x cos^{2} x cos 2 x cos 2 x 1 + cos 2 x, x \in [0, π]$ …
Mathematics · Matrices and Determinants · Numerical