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[ Question Bank ] Maths - [ Question Bank ]

Gujarat Board (GSEB) - STD 12 Science - Maths (GSEB - English Medium). 255 questions in this chapter.

Question types

[ Question Bank ] question types

255 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

255
Questions
5
Question groups
5
Question types
Sample Questions

[ Question Bank ] questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 4M.C.Q (1 Marks)1 Mark
If matrix $A=\left[\begin{array}{cc}x+y & 3 \\ 4 & y\end{array}\right]=\left[\begin{array}{ll}4 & 3 \\ 4 & 1\end{array}\right]$ then the value of $x$ will be :
  • A
    x=2
  • B
    x=1
  • C
    x=-3
  • D
    x=3
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Q 81 Marks1 Mark
If $\vec{a}=3 \hat{i}-\hat{j}+4 \hat{k}$ and $\vec{b}=\hat{i}+\hat{j}-\hat{k}$ then find $|\vec{a}-\vec{b}|$.
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Q 132 Marks2 Marks
If $\vec{a}=2 \hat{i}+2 \hat{j}+3 \hat{k}, \vec{b}=-\hat{i}+2 \hat{j}+\hat{k}$ and $\vec{c}=3 \hat{i}+\hat{j}$ are such that $\vec{a}+\lambda \vec{b}$ is perpendicular on vector $\vec{c}$, then find the value of $\lambda$.
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Q 142 Marks2 Marks
Find the value $k$, so that the given function is continuous at $x=5$
$
f(x)=\left\{\begin{array}{ccc}
k x+1 & \text { if } & x \leq 5 \\
3 x-5 & \text { if } & x>5
\end{array}\right.
$
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Q 152 Marks2 Marks
If $A$ and $B$ are independent events show that the probability of happening at least one of $A$ and $B$ will be $1-P\left(A^{\prime}\right) P\left(B^{\prime}\right)$
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Q 163 Marks3 Marks
If $\vec{a}, \vec{b}, \vec{c}$ are three vectors equal in magnitude and $\vec{a}+\vec{b}+\vec{c}=0$, then find the value of $\vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a}$.
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Q 173 Marks3 Marks
Find a unit vector along perpendicular to vectors $(\vec{a}+\vec{b})$ and $(\vec{a}-\vec{b})$ where $\vec{a}=2 \hat{i}+\hat{j}-2 \hat{k}$ and $\vec{b}=\hat{i}-2 \hat{j}+2 \hat{k}$.
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Q 224 Marks4 Marks
A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs. 5 each for type A and Rs. 6 each for type B souvenirs. How many souvenirs of each type should be manufactured for maximum profit.
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