MATHEMATICS CLASS XII VOLUME-1>Chapter 6 - Determinants>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 27

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12th CBSE

IMPORTANT

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If $x, y \in R$ , then the determinant $Δ = |\begin{matrix} \cos x & - \sin x & 1 \\ \sin x & \cos x & 1 \\ \cos (x + y) & - \sin (x + y) & 0 \end{matrix}|$ lies in the interval

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Important Questions on Determinants

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 6 - Determinants>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 28

The maximum value of

Δ = |\begin{matrix} 1 & 1 & 1 \\ 1 & 1 + \sin θ & 1 \\ 1 + \cos θ & 1 & 1 \end{matrix}|

is (

θ

is real).

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 6 - Determinants>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 29

The value of determinant is

|\begin{matrix} x & x + y & x + 2 y \\ x + 2 y & x & x + y \\ x + y & x + 2 y & x \end{matrix}|

is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 6 - Determinants>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 30

Let

f (x) = |\begin{matrix} \cos x & x & 1 \\ 2 \sin x & x & 2 x \\ \sin x & x & x \end{matrix}|

, then

\lim_{x \to 0} \frac{f (x)}{x^{2}}

is equal to

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 6 - Determinants>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 31

There are two values of a which makes the determinant

Δ = |\begin{array}{r} 1 & - 2 & 5 \\ 2 & a & - 1 \\ 0 & 4 & 2 a \end{array}|

equal to

86

. The sum of these two values is

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 6 - Determinants>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 32

If

|\begin{array}{l} a & p & x \\ b & q & y \\ c & r & z \end{array}| = 16

, then the value of

|\begin{array}{l} p + q & a + x & a + p \\ q + y & b + y & b + q \\ x + z & c + z & c + r \end{array}|

is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 6 - Determinants>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 33

The value of

|\begin{matrix} 1 & 1 & 1 \\ {}^{n}C_{1} & {}^{n + 2}C_{1} & {}^{n + 4}C_{1} \\ {}^{n}C_{2} & {}^{n + 2}C_{2} & {}^{n + 4}C_{2} \end{matrix}|

is