Board Paper of Class 12Science 2004 Maths (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, prove that, n ∈ N.
VIEW SOLUTION
 Question 2
Using the properties of determinants, prove that
VIEW SOLUTION
 Question 3
From a bag containing 20 tickets, numbered from 1 to 20, two tickets are drawn at random. Find the probability that
VIEW SOLUTION
(i) Both the tickets have prime numbers on them
(ii) On one there is prime number and on the other there is a multiple of 4
 Question 4
Two dice are tossed once. Find the probability of getting an even number on the first die or a total of 8.
Or
From a lot of 30 bulbs, which includes 6 defective bulbs, a sample of 3 bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs.
VIEW SOLUTION
 Question 5
Evaluate:
VIEW SOLUTION
 Question 6
Evaluate:
VIEW SOLUTION
 Question 7
Solve the differential equation:
VIEW SOLUTION
 Question 8
Solve the differential equation:, given that , when x = 0.
VIEW SOLUTION
 Question 9
For each x in a Boolean Algebra B, prove that
VIEW SOLUTION
 Question 10
 Question 11
Differentiate with respect to x:
VIEW SOLUTION
 Question 12
Differentiate with respect to xfrom first principles.
VIEW SOLUTION
 Question 13
The volume of a spherical balloon is increasing at the rate of 25 cm^{3}/sec. Find the rate of change of its surface area at the instant when its radius is 5 cm.
VIEW SOLUTION
 Question 14
Evaluate:
VIEW SOLUTION
 Question 15
 Question 16
Using matrix method, solve the following system of linear equations:
x+ y − z = 1
3x+ y − 2z = 3
x− y− z= −1
Or
If, prove that A^{2}− 4A− 5I= O. Hence, find A^{−1}.
VIEW SOLUTION
 Question 17
Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius cm is 500πcm^{3}.
VIEW SOLUTION
 Question 18
Find the area bounded by the circle x^{2}+ y^{2}= 16 and the line y= x in the first quadrant.
VIEW SOLUTION

Board Paper of Class 12Science 2020 Math Delhi(Set 1)  Solutions

Board Paper of Class 12Science 2020 Math Delhi(Set 2)  Solutions

Board Paper of Class 12Science 2020 Math Delhi(Set 3)  Solutions

Board Paper of Class 12Science 2019 Math Delhi(Set 1)  Solutions

Board Paper of Class 12Science 2019 Math Delhi(Set 2)  Solutions

Board Paper of Class 12Science 2019 Math Delhi(Set 3)  Solutions

Board Paper of Class 12Science 2019 Math All India(Set 1)  Solutions

Board Paper of Class 12Science 2019 Math Abroad(Set 3)  Solutions

Board Paper of Class 12Science 2018 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2018 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2018 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2018 Maths  Solutions

Board Paper of Class 12Science 2018 Maths  Solutions

Board Paper of Class 12Science 2017 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2017 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2017 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2017 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2017 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2017 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2016 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2016 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2016 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2016 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2016 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2015 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2015 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2015 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2015 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2015 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2014 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2014 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2014 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2014 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2014 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2013 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2013 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2013 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2013 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2013 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2012 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2012 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2012 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2011 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2011 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2011 Maths (SET 3)  Solutions

Board Paper of Class 12Science 2010 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2010 Maths (SET 2)  Solutions

Board Paper of Class 12Science 2008 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2007 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2006 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2005 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2005 Maths (SET 1)  Solutions

Board Paper of Class 12Science 2004 Maths (SET 1)  Solutions