Board Paper of Class 12Science 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
If $\mathrm{A}=\left(\begin{array}{cc}3& 5\\ 7& 9\end{array}\right)$ is written as A = P + Q, where P is a symmetric matrix and Q is skew symmetric matrix, then write the matrix P. VIEW SOLUTION
 Question 2
If $\overrightarrow{\mathrm{a}},\overrightarrow{\mathrm{b}},\overrightarrow{\mathrm{c}}$ are unit vectors such that $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=\overrightarrow{\mathrm{0}},$ then write the value of $\overrightarrow{\mathrm{a}}\xb7\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{b}}\xb7\overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{c}}\xb7\overrightarrow{\mathrm{a}}.$ VIEW SOLUTION
 Question 3
If ${\left\overrightarrow{\mathrm{a}}\times \overrightarrow{\mathrm{b}}\right}^{2}+{\left\overrightarrow{\mathrm{a}}\xb7\overrightarrow{\mathrm{b}}\right}^{2}=400$ and $\left\overrightarrow{\mathrm{a}}\right=5,$ then write the value of $\left\overrightarrow{\mathrm{b}}\right.$ VIEW SOLUTION
 Question 4
Write the equation of a plane which is at a distance of $5\sqrt{3}$ units from origin and the normal to which is equally inclined to coordinate axes. VIEW SOLUTION
 Question 5
If $\left(213\right)\left(\begin{array}{ccc}1& 0& 1\\ 1& 1& 0\\ 0& 1& 1\end{array}\right)\left(\begin{array}{c}1\\ 0\\ 1\end{array}\right)=\mathrm{A}$, then write the order of matrix A. VIEW SOLUTION
 Question 6
If $\left\begin{array}{ccc}x& \mathrm{sin}\mathrm{\theta}& \mathrm{cos}\mathrm{\theta}\\ \mathrm{sin}\mathrm{\theta}& x& 1\\ \mathrm{cos}\mathrm{\theta}& 1& x\end{array}\right=8$, write the value of x. VIEW SOLUTION
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