Board Paper of Class 12Humanities 2018 Maths (SET 1)  Solutions
General Instructions:
(i) All questions are compulsory.
(ii) This question paper contains 29 questions.
(iii) Questions 1 4 in Section A are very shortanswer type questions carrying 1 mark each.
(iv) Questions 512 in Section B are shortanswer type questions carrying 2 marks each.
(v) Questions 1323 in Section C are longanswer I type questions carrying 4 marks each.
(vi) Questions 2429 in Section D are longanswer II type questions carrying 6 marks each.
(i) All questions are compulsory.
(ii) This question paper contains 29 questions.
(iii) Questions 1 4 in Section A are very shortanswer type questions carrying 1 mark each.
(iv) Questions 512 in Section B are shortanswer type questions carrying 2 marks each.
(v) Questions 1323 in Section C are longanswer I type questions carrying 4 marks each.
(vi) Questions 2429 in Section D are longanswer II type questions carrying 6 marks each.
 Question 1
If a * b denotes the larger of 'a' and 'b' and if $a\circ b$ = (a * b) + 3, then write the value of $\left(5\right)\circ \left(10\right)$, where * and $\circ $ are binary operations. VIEW SOLUTION
 Question 2
Find the magnitude of each of two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$, having the same magnitude such that the angle between them is 60° and their scalar product is $\frac{9}{2}$. VIEW SOLUTION
 Question 3
If the matrix $A=\left[\begin{array}{ccc}0& a& 3\\ 2& 0& 1\\ b& 1& 0\end{array}\right]$ is skew symmetric, find the values of 'a' and 'b'. VIEW SOLUTION
 Question 4
Find the value of ${\mathrm{tan}}^{1}\sqrt{3}{\mathrm{cot}}^{1}\left(\sqrt{3}\right).$ VIEW SOLUTION
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