Board Paper of Class 12Humanities 2017 Maths (SET 3)  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
Determine the value of 'k' for which the following function is continuous at x = 3:
$f\left(x\right)=\left\{\begin{array}{ccc}\frac{{\left(x+3\right)}^{2}36}{x3}& ,& x\ne 3\\ k& ,& x=3\end{array}\right.$ VIEW SOLUTION
 Question 2
If for any 2 × 2 square matrix A, A(adj A) = $\left[\begin{array}{cc}8& 0\\ 0& 8\end{array}\right]$, then write the value of A. VIEW SOLUTION
 Question 3
Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + 5z = 20. VIEW SOLUTION
 Question 4
Find :
$\int \frac{{\mathrm{sin}}^{2}\mathrm{x}{\mathrm{cos}}^{2}\mathrm{x}}{\mathrm{sin}\mathrm{x}\mathrm{cos}\mathrm{x}}\mathrm{dx}$ VIEW SOLUTION
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