Board Paper of Class 12Humanities 2010 Maths (SET 2)  Solutions
i. All questions are compulsory.
ii. The question paper consists of 29 questions divided into three sections A, B and C. Section A comprises of 10 questions of one mark each, Section B comprises of 12 questions of four marks each, and Section C comprises of 7 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 requirements of the question.
iv. There is no overall choice. However, internal choice has been provided in 4 questions of four marks each and 2 questions of six marks each. You have to attempt only one of the alternatives in all such questions.
v. Use of calculators is not permitted.
 Question 1
Evaluate:
VIEW SOLUTION
 Question 2
If, then for what value of α is A an identity matrix?
VIEW SOLUTION
 Question 3
What is the principal value of?
VIEW SOLUTION
 Question 4
What is the cosine of the angle which the vector makes with yaxis?
VIEW SOLUTION
 Question 5
Write a vector of magnitude 15 units in the direction of vector
VIEW SOLUTION
 Question 6
What is the range of the function?
VIEW SOLUTION
 Question 7
Find the minor of the element of second row and third column (a_{23}) in the following determinant:
VIEW SOLUTION
 Question 8
Write the vector equation of the following line:
VIEW SOLUTION
 Question 9
What is the degree of the following differential equation?
VIEW SOLUTION
 Question 10
If, then write the value of k.
VIEW SOLUTION
 Question 11
 Question 12
 Question 13
On a multiple choice examination with three possible answers (out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing?
VIEW SOLUTION
 Question 14
Let * be a binary operation on Q defined by
Show that * is commutative as well as associative. Also find its identify element, if it exists.
VIEW SOLUTION
 Question 15
Using elementary row operations, find the inverse of the following matrix:
VIEW SOLUTION
 Question 16
Find the Cartesian equation of the plane passing through the points A(0, 0, 0) and B(3, − 1, 2) and parallel to the line.
VIEW SOLUTION
 Question 17
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are respectively, externally in the ratio 1:2. Also, show that P is the midpoint of the line segment RQ.
VIEW SOLUTION
 Question 18
Evaluate:
VIEW SOLUTION
 Question 19
 Question 20
Find the equations of the normals to the curve y = x^{3} + 2x + 6 which are parallel to the line x + 14y + 4 = 0
VIEW SOLUTION
 Question 21
Find the particular solution of the differential equation satisfying the given conditions:
x^{2}dy + (xy + y^{2}) dx = 0; y = 1 when x = 1.
VIEW SOLUTION
 Question 22
Find the general solution of the differential equation
OR
Find the particular solution of the differential equation satisfying the given conditions:
, given that y = 1 when x = 0
VIEW SOLUTION
 Question 23
Evaluateas limit of sums.
OR
Using integration, find the area of the following region:
VIEW SOLUTION
 Question 24
A small firm manufactures gold rings and chains. The total number of rings and chains manufactured per day is atmost 24. It takes 1 hour to make a ring the 30 minutes to make a chain. The maximum number of hours available per day is 16. If the profit on a ring is Rs. 300 and that on a chain is Rs. 90, find the number of rings and chains that should be manufactured per day, so as to earn the maximum profit. Make it as an L.P.P. and solve it graphically.
VIEW SOLUTION
 Question 25
A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn at random and are found to both clubs. Find the probability of the lost card being of clubs.
OR
From a lot of 10 bulbs, which includes 3 defectives, a sample of 2 bulbs is drawn at random. Find the probability distribution of the number of defective bulbs.
VIEW SOLUTION
 Question 26
Using properties of determinants, show the following:
VIEW SOLUTION
 Question 27
Find the values of xfor which f(x) = [x(x− 2)]^{2}is an increasing function. Also, find the points on the curve, where the tangent is parallel to xaxis.
VIEW SOLUTION
 Question 28
Show that the right circular cylinder, open at the top, and of given surface area and maximum volume is such that its height is equal to the radius of the base.
VIEW SOLUTION
 Question 29
Write the vector equations of the following lines and hence determine the distance between them:
VIEW SOLUTION

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

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

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

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

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

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

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

Board Paper of Class 12Humanities 2018 Maths  Solutions

Board Paper of Class 12Humanities 2018 Maths  Solutions

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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