Board Paper of Class 12-Commerce 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
Find λ if
VIEW SOLUTION
- Question 2
- Question 3
Evaluate:
VIEW SOLUTION
- Question 4
- Question 5
If f: R → R be defined by
VIEW SOLUTION, then find of fof(x).
- Question 6
Write the principal value of
VIEW SOLUTION.
- Question 7
- Question 8
A is a square matrix of order 3 and
VIEW SOLUTION. Write the value of
.
- Question 9
- Question 10
If
VIEW SOLUTIONand
are two vectors such that
, then what is the angle between
and
?
- Question 11
- Question 12
A family has 2 children. Find the probability that both are boys, if it is known that
(i) at least one of the children is a boy,
(ii) the elder child is a boy.
VIEW SOLUTION
- Question 13
Show that the relation S in the set A = {x ∈ Z: 0 ≤ x ≤ 12} given by S = {(a, b): a, b ∈ Z, |a − b| is divisible by 4} is an equivalence relation. Find the set of all elements related to 1.
VIEW SOLUTION
- Question 14
If
VIEW SOLUTION, then find the value of A2 − 3A + 2I.
- Question 15
Find the points on the line
at a distance of 5 units from the point P (1, 3, 3).
OR
Find the distance of the point P (6, 5, 9) from the place determined by the points A (3, −1, 2), B (5, 2, 4) and C (−1, −1, 6).
VIEW SOLUTION
- Question 16
If
and
, find a vector of magnitude 6 units which is parallel to the vector
OR
Let
VIEW SOLUTIONand
Find a vector
which is perpendicular to both
and
and
= 18.
- Question 17
Solve the following differential equation:
|x| ≠ 1
OR
Solve the following differential equation:
VIEW SOLUTION
- Question 18
- Question 19
- Question 20
- Question 21
If
VIEW SOLUTIONfind
- Question 22
- Question 23
Find the equations of the tangent and the normal to the curve
VIEW SOLUTIONat
- Question 24
Find the equation of the plane passing through the point P (1, 1, 1) and containing the line
VIEW SOLUTION. Also, show that the plane contains the line
- Question 25
Using properties of determinants, prove the following
OR
Find the inverse of the following matrix using elementary operations
VIEW SOLUTION
- Question 26
A bag contains 4 balls. Two balls are drawn at random, and are found to be white. What is the probability that all balls are white?
VIEW SOLUTION
- Question 27
Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y.
OR
Using integration, find the area of the triangle ABC, coordinates of whose vertices are A (4, 1), B (6, 6) and C (8, 4)
VIEW SOLUTION
- Question 28
One kind of cake required 300g of flour and 15g of fat, another kind of cake requires 150g of flour and 30g of fat. Find the maximum number of cakes which can be made from 7.5 kg of flour and 600g of fat, assuming that there is no shortage of the other ingredients used in making the cakes. Make it as an L.P.P and solve it graphically.
VIEW SOLUTION
- Question 29
If the length of three sides of a trapezium other than the base is 10 cm each, find the area of the trapezium, when it is maximum.
VIEW SOLUTION
-
Board Paper of Class 12-Commerce 2019 Math Delhi(Set 1) - Solutions
-
Board Paper of Class 12-Commerce 2019 Math Delhi(Set 2) - Solutions
-
Board Paper of Class 12-Commerce 2019 Math Delhi(Set 3) - Solutions
-
Board Paper of Class 12-Commerce 2019 Math Abroad(Set 3) - Solutions
-
Board Paper of Class 12-Commerce 2018 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2018 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2018 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2018 Maths - Solutions
-
Board Paper of Class 12-Commerce 2018 Maths - Solutions
-
Board Paper of Class 12-Commerce 2017 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2017 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2017 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2017 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2017 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2017 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2016 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2016 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2016 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2016 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2016 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2015 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2015 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2015 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2015 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2015 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2014 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2014 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2014 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2014 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2014 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2013 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2013 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2013 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2013 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2013 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2012 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2012 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2012 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2011 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2011 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2011 Maths (SET 3) - Solutions
-
Board Paper of Class 12-Commerce 2010 Maths (SET 2) - Solutions
-
Board Paper of Class 12-Commerce 2008 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2007 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2006 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2005 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2005 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2004 Maths (SET 1) - Solutions
-
Board Paper of Class 12-Commerce 2004 Maths (SET 1) - Solutions