Board Paper of Class 12Commerce 2015 Maths All India(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 value of $\overrightarrow{\mathrm{a}}.\left(\overrightarrow{\mathrm{b}}\times \overrightarrow{\mathrm{a}}\right).$ VIEW SOLUTION
 Question 2
If $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+2\hat{\mathrm{j}}\hat{\mathrm{k}},\overrightarrow{\mathrm{b}}=2\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{c}}=5\hat{\mathrm{i}}4\hat{\mathrm{j}}+3\hat{\mathrm{k}}$, then find the value of $\left(\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}\right).\overrightarrow{\mathrm{c}}.$ VIEW SOLUTION
 Question 3
Write the direction ratios of the following line :
$\mathrm{x}=3,\frac{\mathrm{y}4}{3}=\frac{2\mathrm{z}}{1}$ VIEW SOLUTION
 Question 4
If $\mathrm{A}=\left[\begin{array}{cc}2& 3\\ 5& 2\end{array}\right]$, then write A^{−1}. VIEW SOLUTION
 Question 5
Find the differential equation representing the curve y = cx + c^{2}. VIEW SOLUTION
 Question 6
Write the integrating factor of the following differential equation:
$(1+{y}^{2})dx({\mathrm{tan}}^{1}yx)dy=0$ VIEW SOLUTION
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