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Mathematics 2 Marks Questions

[ Question Bank ] · CBSE STD 12 Science (CBSE - English Medium). 65 questions.

Questions · Page 2 of 2

2 Marks Questions

Question 512 Marks
If $\left[\begin{array}{lll}x & 4 & 1\end{array}\right]\left[\begin{array}{ccc}2 & 0 & 1 \\ 1 & 0 & 2 \\ 0 & 2 & -4\end{array}\right]\left[\begin{array}{c}-2 \\ 4 \\ 1\end{array}\right]=0$ then find the value of $x$.
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self
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Question 522 Marks
If a relation $R$ is defined in a set $A$, then show that if $R$ is symmetric then $R=R^{-1}$
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self
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Question 532 Marks
Prove that if $A$ and $B$ are two independent events, then $A ^{\prime}$ and $B ^{\prime}$ will also be independent.
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self
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Question 542 Marks
Show that the points $2 \hat{i},-\hat{i}-4 \hat{j},-i+4 \hat{j}$ represent an isosceles triangle.
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self
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Question 622 Marks
Find the adjoint matrix of matrix $\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$.
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self
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Question 632 Marks
Prove that $\left|\begin{array}{ccc}a & c & a+c \\ a+b & b & a \\ b & b+c & c\end{array}\right|=4 a b c$.
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self
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Question 642 Marks
Find $x, y, z$ in $\left[\begin{array}{cc}x+y & 2 \\ 5+z & x y\end{array}\right]=\left[\begin{array}{ll}6 & 2 \\ 5 & 8\end{array}\right]$
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self
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