Board Paper of Class 12Commerce 2019 Math Delhi(Set 2)  Solutions
General Instructions:
(i) All questions are compulsory.
(ii) This question paper contains 29 questions divided into four sections A, B, C and D. Section A comprises of 4 questions of one mark each, Section B comprises of 8 questions of two marks each, Section C comprises of 11 questions of four marks each and Section D comprises of 6 questions of six marks each.
(iii) All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question.
(iv) There is no overall choice. However, internal choice has been provided in 1 question of Section A, 3 questions of Section B, 3 questions of Section C and 3 questions of Section D. You have to attempt only one of the alternatives in all such questions.
(v) Use of calculators is not permitted. You may ask logarithmic tables, if required.
 Question 1
Find the order and the degree of the differential equation ${x}^{2}\frac{{d}^{2}y}{d{x}^{2}}={\left\{1+{\left(\frac{dy}{dx}\right)}^{2}\right\}}^{4}$. VIEW SOLUTION
 Question 2
If f(x) = x + 7 and g(x) = x − 7, x ∊ R, then find $\frac{d}{dx}\left(fog\right)\left(x\right)$. VIEW SOLUTION
 Question 3
Find the value of x − y, if
$2\left[\begin{array}{cc}1& 3\\ 0& x\end{array}\right]+\left[\begin{array}{cc}y& 0\\ 1& 2\end{array}\right]=\left[\begin{array}{cc}5& 6\\ 1& 8\end{array}\right]$. VIEW SOLUTION
 Question 4
If a line makes angles 90°, 135°, 45° with the x, y and z axes respectively, find its direction cosines.
OR
Find the vector equation of the line which passes through the point (3, 4, 5) and is parallel to the vector $2\hat{i}+2\hat{j}3\hat{k}$. VIEW SOLUTION

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