TED (21) – 1002 REVISION 2021

FIRST SEMESTER DIPLOMA EXAMINATION IN

ENGINEERING AND TECHNOLOGY
(Common to all Diploma Programmes)

MATHEMATICS I
MODEL QUESTION PAPER – SET-1

Time: 3 hours Maximum Marks: 75

PART A
I. Answer all questions in one word or one sentence. Each question carries one mark.

(9 x 1 = 9 Marks)

1 Find the conjugate of 3-2i M1.01 U

2 Write the equation to a straight line in slope-intercept form M1.02 U
3 Write the expression for sin2A M2.03 R

4 Evaluate sin600.cos300+cos600.sin300 M2.03 R

5 Evaluate M3.01 U

6 State Product Rule of differentiation M3.04 R

7 Differentiate x.logx w.r.to x M3.04 R

8 Find if x2+y2=25 M4.02 U

9 M4.03 A
If y=sin x, find

PART B

II. Answer any eight questions from the following. Each question carries 3 marks

(8 x 3 = 24 Marks)

1 Find the sum and difference of complex numbers 2-3i and -4-i M1.01 U
2 Find the modulus and amplitude of 3+i M1.01 U
Find the equation to a straight line having x and y intercepts 3 and
3 M1.02 U
5 respectively
4 If tanθ=1, find sinθ and cosθ M2.02 R
 5 Prove that tanA = M2.03 U

6 Evaluate M3.02 R
7 Differentiate y= w.r.to x M3.04 R
8 Differentiate y= w.r.to x M3.04 R

9 If x=asecθ, y=btanθ, find M4.02 U

10 Find the second derivative of y=x.logx M4.03 A

PART C

Answer all questions. Each question carries seven marks

(6 x 7 = 42 Marks)
III Multiply

i) (4-i)(3-5i) (4 Marks) M1.01 U

ii) (4+i)(3-i) (3 Marks)

OR

IV Find the equation to a straight line parallel to 2x+3y-4=0 and M1.04 U

passing through the point (2,-3)

V Find the modulus and amplitude of M1.01 U

i) 2-3i (4 Marks)
ii) -1+2i (3 Marks)

OR

VI Find the equation to a straight line passing through the points M1.02 U
(-3,2) and (5,-3)

VII Show that + = 2cosecA M2.03 U

OR

VIII Show that cos20o cos40o cos80o = 1/8

M2.03 U
IX Evaluate M3.02 R

OR
 X Differentiate w.r.to x M3.04 R

i) y =x2.sec (3 Marks)
ii) (4 Marks)

XI Evaluate
M3.02 R
OR

XII Find the derivative of tanx and cotx using quotient rule. (4+3
Marks) M3.04 A
XIII Differentiate w.r.to x M4.01 A

i) y = log(secx+tanx) (4 Marks)
ii) (3 Marks)

OR

XIV M4.03 A
If y=x.sinx, prove that + y=2cosx
TED (21) – 1002 REVISION 2021

FIRST SEMESTER DIPLOMA EXAMINATION IN

ENGINEERING AND TECHNOLOGY
(Common to all Diploma Programmes)

MATHEMATICS I
MODEL QUESTION PAPER – SET-2

Time: 3 hours Maximum Marks: 75

PART A
I. Answer all questions in one word or one sentence. Each question carries one mark.

(9 x 1 = 9 Marks)

1 Find the sum of 2 + i and 1 - i M1.01 U

2 Write the equation of a straight line passes through (a, b) and slope m M1.02 R
3 Evaluate tan 450 – cos 600 M2.02 U
M2.02 U
4 Sin (1800 + A) = ………..

5 Evaluate
M3.01 U

6 Differentiate sinx – cosx with respect to x. M3.03 R

7 Differentiate x.logx w.r.to x M3.04 R

8 M4.01 A
State quotient rule of differentiation
M4.03 R
9 If y=ex, find

PART B

II. Answer any eight questions from the following. Each question carries 3 marks

(8 x 3 = 24 Marks)

1 Find the product of (2+i) and its conjugate? M1.01 R

2 Find the modulus and amplitude of 1+i M1.01 U
Find the equation to a straight-line having x and y intercepts 2 and 3
3 respectively M1.02 R
 If then find M2.02 R
4

M2.03 A
5 If tanθ=2, find sin2θ

6 Evaluate M3.02 U

7 Differentiate w.r.t. x M3.04 U

8 Differentiate w.r.to x M3.04 A

Find if M4.02 U
9
If y = cosx then show that y”+ y = 0 M4.03 R
10

PART C

Answer all questions. Each question carries seven marks

(6 x 7 = 42 Marks)
III Multiply i) (2+3i) and (4-5i) (4 marks)

ii) (3+i)(1+i) (3 marks) M1.01 R

OR

Find the equation to a straight line perpendicular to 2x-3y =5 and

IV passes through the point (1,0) M1.04 U

V V i) Multiply (3+4i) and (1+2i) M1.01 U

ii) Find the modulus and amplitude of 3+i (4 +3 marks)

OR
VI Find the angle between the lines 2x-y+1=0 and x-3y+2=0
M1.03 A

VII Show that + M2.02 A

OR

VIII Show that sin 10o sin50o sin70o = 1/8

M2.03 A
 IX XI Evaluate i)
M3.02 U
ii) (5+2)

OR
X
Differentiate M3.04 U
i)
XI Evaluate i)
ii) (5+2)
M3.02 U

XII
OR

Differentiate the following i) M3.04 U

ii)

XIII Find where a, h and b are constants. M4.02 U

OR

XIV Differentiate the following i) ii)

(4+3)
M4.01 U