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Maths 2nd interanl - Noicee

Noicee
Course

Mathematics

666 Documents
Students shared 666 documents in this course
Academic year: 2021/2022
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102 GOVERNMENT POLYTECHNIC, BENGALURU

DEPARTMENT OF SCIENCE

Programme : Common to all. Semester:1st

Course : Engg. Mathematics Max Marks:

Course Code: 20SC01T Duration : 80 minute

Course Coordinator: BNB, MK, Dr RP, Asha D, SPK, Dr IB, Dr B Test: II

Note: Answer all the questions from both the sections.

Qn. No Question CL CO PO Marks

Section-

1) Define slope of a straight line. Write the standard slope

intercept form of equation of straight line.

OR

Write the general form of equation of straight line. Write

the condition for line to be parallel.

L1 2 1,7 2

b) Write the slope, x intercept and y intercept of 3x+2y+6=0.

OR

Find the equation of straight line whose x and y intercepts

are 2 and 3 units.

L2 2 1,7 3

c) Find the equation of line passing through (2,5) and (-3,2).

OR

Find the acute angle between the lines x+2y+9=0 and 3x+y-

7=0.

L3 2 1,7 5

d) Do you think the lines 5x-2y+8=0 and 10x-4y+3=0 are

parallel or perpendicular justify your answer.

OR

Find the equation of straight line parallel to 5x+6y-10=0 and

passing through the point(-3,3).

L4 2 1,7 5

Section-

2)

Convert Radians to Degree (

4

5

)c and Degree to Radians

1350.

OR

If

1

sin

2

 = and

2

   then find the value of cos  and

tan .

L1 3 1,7 3

b)

Find the value of cos75 0.

OR

Find the value of tan105 0

L2 3 1,7 3

c) Using allied angle find the value of sin240 0 and cos210 0.

OR

Find the value of

5

cos ( )

3

ec

− 

and

5

cot( )

6

.

L3 3 1,7 4

d) Prove whether cos2A=2cos 2 A-1.

OR

Prove that

1 cos 2

cot

sin 2

x

x

x

+

=.

L4 3 1,7 5

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Maths 2nd interanl - Noicee

Course: Mathematics

666 Documents
Students shared 666 documents in this course

University: Sikkim Manipal University

Was this document helpful?
102 GOVERNMENT POLYTECHNIC, BENGALURU
DEPARTMENT OF SCIENCE
Programme : Common to all. Semester:1st
Course : Engg. Mathematics Max Marks:30
Course Code: 20SC01T Duration : 80 minute
Course Coordinator: BNB, MK, Dr RP, Asha D, SPK, Dr IB, Dr B Test: II
Note: Answer all the questions from both the sections.
Qn. No
Question
CL
CO
PO
Marks
Section-1
1.a)
Define slope of a straight line. Write the standard slope
intercept form of equation of straight line.
OR
Write the general form of equation of straight line. Write
the condition for line to be parallel.
L1
2
1,7
2
b)
Write the slope, x intercept and y intercept of 3x+2y+6=0.
OR
Find the equation of straight line whose x and y intercepts
are 2 and 3 units.
L2
2
1,7
3
c)
Find the equation of line passing through (2,5) and (-3,2).
OR
Find the acute angle between the lines x+2y+9=0 and 3x+y-
7=0.
L3
2
1,7
5
d)
Do you think the lines 5x-2y+8=0 and 10x-4y+3=0 are
parallel or perpendicular justify your answer.
OR
Find the equation of straight line parallel to 5x+6y-10=0 and
passing through the point(-3,3).
L4
2
1,7
5
Section-2
2.a)
Convert Radians to Degree (
4
5
)c and Degree to Radians
.
OR
If
1
sin 2
=
and
2


then find the value of
cos
and
tan
.
L1
3
1,7
3
b)
Find the value of cos750.
OR
Find the value of tan1050
L2
3
1,7
3
c)
Using allied angle find the value of sin2400 and cos2100.
OR
Find the value of
5
cos ( )
3
ec
−
and
5
cot( )
6
.
L3
3
1,7
4
d)
Prove whether cos2A=2cos2A-1.
OR
Prove that
1 cos 2 cot
sin 2
x
x
x
+=
.
L4
3
1,7
5

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