Board Paper of Class 12Humanities 2016 Maths (SET 2)  Solutions
General Instructions :
(i) All questions are compulsory.
(ii) Please check that this Question Paper contains 26 Questions.
(iii) Marks for each question are indicated against it.
(iv) Questions 1 to 6 in SectionA are Very Short Answer Type Questions carrying one mark each.
(v) Questions 7 to 19 in SectionB are Long Answer I Type Questions carrying 4 marks each.
(vi) Questions 20 to 26 in SectionC are Long Answer II Type Questions carrying 6 marks each.
(vii) Please write down the serial number of the Question before attempting it.
* Kindly update your browser if you are unable to view the equations.
(i) All questions are compulsory.
(ii) Please check that this Question Paper contains 26 Questions.
(iii) Marks for each question are indicated against it.
(iv) Questions 1 to 6 in SectionA are Very Short Answer Type Questions carrying one mark each.
(v) Questions 7 to 19 in SectionB are Long Answer I Type Questions carrying 4 marks each.
(vi) Questions 20 to 26 in SectionC are Long Answer II Type Questions carrying 6 marks each.
(vii) Please write down the serial number of the Question before attempting it.
* Kindly update your browser if you are unable to view the equations.
 Question 1
Write the number of vectors of unit length perpendicular to both the vectors $\overrightarrow{a}=2\hat{i}+\hat{j}+2\hat{k}\mathrm{and}\overrightarrow{b}=\hat{j}+\hat{k}$. VIEW SOLUTION
 Question 2
Write the number of all possible matrices of order 2 × 2 with each entry 1, 2 or 3. VIEW SOLUTION
 Question 3
If x ∈ N and $\left\begin{array}{cc}x+3& 2\\ 3x& 2x\end{array}\right$ = 8, then find the value of x. VIEW SOLUTION
 Question 4
Write the position vector of the point which divides the join of points with position vectors $3\overrightarrow{a}2\overrightarrow{b}\mathrm{and}2\overrightarrow{a}+3\overrightarrow{b}$ in the ratio 2 : 1. VIEW SOLUTION
 Question 5
Find the vector equation of the plane with intercepts 3, –4 and 2 on x, y and zaxis respectively. VIEW SOLUTION
 Question 6
Use elementary column operation C_{2} → C_{2} + 2C_{1} in the following matrix equation :
$\left(\begin{array}{cc}2& 1\\ 2& 0\end{array}\right)=\left(\begin{array}{cc}3& 1\\ 2& 0\end{array}\right)\left(\begin{array}{cc}1& 0\\ 1& 1\end{array}\right)$ VIEW SOLUTION
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