Board Paper of Class 12-Humanities 2004 Maths All India(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
VIEW SOLUTION, prove that
, n ∈ N.
- 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:
VIEW SOLUTION, given that
, when x = 0.
- Question 9
For each x in a Boolean Algebra B, prove that
VIEW SOLUTION
- Question 10
- Question 11
- Question 12
Differentiate
VIEW SOLUTIONwith respect to xfrom first principles.
- Question 13
The volume of a spherical balloon is increasing at the rate of 25 cm3/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
VIEW SOLUTION, prove that A2− 4A− 5I= O. Hence, find A−1.
- Question 17
Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius
VIEW SOLUTIONcm is 500πcm3.
- Question 18
Find the area bounded by the circle x2+ y2= 16 and the line y= x in the first quadrant.
VIEW SOLUTION
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Board Paper of Class 12-Humanities 2015 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Humanities 2015 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Humanities 2015 Maths All India(SET 2) - Solutions
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Board Paper of Class 12-Humanities 2014 Maths All India(SET 1) - Solutions
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Board Paper of Class 12-Humanities 2014 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Humanities 2014 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Humanities 2013 Maths Delhi(SET 2) - Solutions
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Board Paper of Class 12-Humanities 2013 Maths Delhi(SET 3) - Solutions
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Board Paper of Class 12-Humanities 2013 Maths All India(SET 1) - Solutions
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Board Paper of Class 12-Humanities 2004 Maths Delhi(SET 1) - Solutions