Board Paper of Class 12Science 2016 Maths (SET 3)  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
The two vectors $\hat{\mathrm{j}}+\hat{\mathrm{k}}\mathrm{and}3\hat{\mathrm{i}}\mathrm{j}+4\hat{\mathrm{k}}$ represent the two sides AB and AC, respectively of a ∆ABC. Find the length of the median through A. VIEW SOLUTION
 Question 2
Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is $2\hat{\mathrm{i}}3\hat{\mathrm{j}}+6\hat{\mathrm{k}}$. VIEW SOLUTION
 Question 3
Find the maximum value of $\left\begin{array}{ccc}1& 1& 1\\ 1& 1+\mathrm{sin}\mathrm{\theta}& 1\\ 1& 1& 1+\mathrm{cos}\mathrm{\theta}\end{array}\right$ VIEW SOLUTION
 Question 4
If A is a square matrix such that A^{2}^{ }= I, then find the simplified value of (A – I)^{3} + (A + I)^{3} – 7A. VIEW SOLUTION
 Question 5
Matrix A = $\left[\begin{array}{ccc}0& 2\mathrm{b}& 2\\ 3& 1& 3\\ 3\mathrm{a}& 3& 1\end{array}\right]$ is given to be symmetric, find values of a and b. VIEW SOLUTION
 Question 6
Find the position vector of a point which divides the join of points with position vectors $\overrightarrow{a}2\overrightarrow{b}\mathrm{and}2\overrightarrow{a}+\overrightarrow{b}$ externally in the ratio 2 : 1. VIEW SOLUTION
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