Download PTU B-Tech Bio Technology 2020 Dec 1st Sem 75371 Basic Mathematics I Question Paper

Download PTU (I.K.Gujral Punjab Technical University (IKGPTU)) B-Tech (Bachelor of Technology) BT-Bio Technology 2020 December 1st Sem 75371 Basic Mathematics I Previous Question Paper

Roll No.
Total No. of Pages : 02
Total No. of Questions : 08
B.Tech. (Bio Tech.) (2018 & Onwards) (Sem.?1)
BASIC MATHEMATICS-I
Subject Code : BTAM-107-18
M.Code : 75371
Time : 2 Hrs. Max. Marks : 30
INST RUCT IONS T O CANDIDAT ES :
1 .
Attempt any FIVE question (s), ea ch que stion c arrie s 6 ma rks .
1.
a) Find the number of different 8 letter arrangements that can be made from the letters
of the word DAUGHTER, all vowels are together.
7
2
y
b) Evaluate the middle term in the expansion of 3x
.
6
2.
a) The income of a person is Rs. 3,00,000 in the first year and he receives an increase of
Rs.10,000 to his income per year for the next 19 years. Find the total amount he
received in 20 years.
b) The sum of first three terms of a GP is 13/12 and their product is ?1. Find the
common ratio and the terms.
13
3.
a) Find the value of tan
.
12
b) Prove that tan x tan 2x tan 3x = tan 3x ? tan 2x ? tan x.
4.
a) Solve sin 2x ? sin 4x + sin 6x = 0.
sin x sin y
x y
b) Prove that
tan
.
cos x cos y
2
3
3
2
2
1
2
5.
a) If A
and B
, then verify that (A + B) = A + B.
4
2
0
1
2
4
b) Using properties of determinant, show that :
1
1
1
a
b
c
= (a ? b) (b ? c) (c ? a) (a + b + c).
3
3
3
a
b
c
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6.
Solve using matrix method 3x ? 2y + 3z = 8, 2x + y ? z = 1, 4x ? 3y + 2z = 4.
7.
a) Two lines are passing through the point (2, 3) and intersect each other at an angle of
60? If the slope of one line is 2, find the equation of other line.
b) Find Standard Deviation of the data :
x
2
5
6
8
10
12
f
2
8
10
7
8
5
8.
Two regression equations of the variables x and y are x = 19.13 ? 0.87y and
y = 11.64 ? 0.50 x. Find (i) means of x and y (ii) correlation coefficient between x and y.
Note: Any student found attempting answer sheet from any other person(s), using
incriminating material or involved in any wrong activity reported by evaluator shall be
treated under UMC provisions.
Student found sharing the question paper(s)/answer sheet on digital media or with any
other person or any organization/institution shall also be treated under UMC.
Any student found making any change/addition/modification in contents of scanned copy of
answer sheet and original answer sheet, shall be covered under UMC provisions.
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