Board Paper of Class 12-Commerce 2007 Maths Delhi(SET 1) - Solutions
(i) The question paper consists of three sections A, B and C Section A is compulsory for all students. In addition to Section A, every student has to attempt either Section B OR Section C.
(ii) For Section A -
Question numbers 1 to 8 are of 3 marks each.
Question numbers 9 to 15 are of 4 marks each.
Question numbers 16 to 18 are of 6 marks each.<o:p></o:p></span></p>
(iii) For Section B/Section C
Question numbers 19 to 22 are of 3 marks each.
Question numbers 23 to 25 are of 4 marks each.
Question number 26 is of 6 marks.
(iv) All questions are compulsory.
(v) Internal choices have been provided in some questions. You have to attempt only one of the choices in such questions.
(vi) Use of calculator is not permitted. However, you may ask for logarithmic and statistical tables, if required.
- Question 1
If A=
VIEW SOLUTION, show that A2− 6A+ 17I = O. Hence find A−1.
- Question 2
An urn contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. Find the probability of getting (a) 2 red balls (b) 2 blue balls (C) one red and one blue ball.
VIEW SOLUTION
- Question 3
- Question 4
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that it is neither an ace nor a king.
VIEW SOLUTION
- Question 5
Evaluate:
VIEW SOLUTION
- Question 6
- Question 7
Form the differential equation of the family of curves y = A cos 2x + B sin 2x, where A and B are constants.
Or
Solve the following differential equation:
VIEW SOLUTION
- Question 8
Evaluate:
VIEW SOLUTION
- Question 9
- Question 10
Evaluate:
VIEW SOLUTION
- Question 11
- Question 12
Differentiate sin (x2+ 1) with respect to xfrom the first principle.
VIEW SOLUTION
- Question 13
Write the Boolean expression for the following circuit:
Simplify the Boolean expression.
Or
Show that the following argument is valid:
s1: p ∧ q
s2: ∼ q
s: p ∨ ∼ q
VIEW SOLUTION
- Question 14
- Question 15
Verify Rolle’s Theorem for the function f (x) = x2− 5x+ 4 on [1, 4].
VIEW SOLUTION
- Question 16
Using matrices solve the following system of equations:
x+ 2y + 3z= 6
3x+ 2y − 2z = 3
2x− y+ z = 2
VIEW SOLUTION
- Question 17
Using integration, find the area of the region enclosed between the circles:
x2+ y 2= 1 and (x− 1)2+ y2= 1
Or
Evaluate
VIEW SOLUTIONas limit of sums.
- Question 18
Find the point on the curve x2= 8y which is nearest to the point (2, 4).
Or
Show that the right circular cone of least curved surface and given volume has an altitude equal to
VIEW SOLUTIONtimes the radius of the base.
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Board Paper of Class 12-Commerce 2020 Math Delhi(Set 1) - Solutions
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Board Paper of Class 12-Commerce 2020 Math Delhi(Set 3) - Solutions
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Board Paper of Class 12-Commerce 2019 Math Delhi(Set 1) - Solutions
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Board Paper of Class 12-Commerce 2019 Math Delhi(Set 2) - Solutions
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Board Paper of Class 12-Commerce 2019 Math Delhi(Set 3) - Solutions
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Board Paper of Class 12-Commerce 2019 Math Abroad(Set 3) - Solutions
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Board Paper of Class 12-Commerce 2018 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2018 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2018 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2018 Maths - Solutions
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Board Paper of Class 12-Commerce 2018 Maths - Solutions
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Board Paper of Class 12-Commerce 2017 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2017 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2017 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2017 Maths All India(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2017 Maths All India(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2017 Maths Abroad(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2016 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2016 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2016 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2016 Maths All India(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2016 Maths Abroad(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2015 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2015 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2015 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2015 Maths All India(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2015 Maths Abroad(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2014 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2014 Maths All India(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2014 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2014 Maths Abroad(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2014 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2013 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2013 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2013 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2013 Maths All India(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2013 Maths All India(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2012 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2012 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2012 Maths All India(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2011 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2011 Maths Abroad(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2011 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Commerce 2010 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2010 Maths All India(SET 2) - Solutions
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Board Paper of Class 12-Commerce 2008 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2006 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2005 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2005 Maths All India(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2004 Maths Delhi(SET 1) - Solutions
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Board Paper of Class 12-Commerce 2004 Maths All India(SET 1) - Solutions