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IITM BS Week 2 Mathematics 1 Questions | Prasnya
Mathematics 1 > Week 2
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7Q
01
You have been closely monitoring your bike's mileage recently. Here is a table showing two rows representing the amount paid for fuel (in Rs) and the corresponding mileage in Km. Consider
y
y
y
as the amount paid and
x
x
x
as the corresponding mileage in Km. You have noted down the distance traveled each time when the fuel meter falls back to a fixed reference mark and predicted that the equation of the best fit line is
y
=
5
x
−
21
y = 5x - 21
y
=
5
x
−
21
. What will be the value of
SSE
\text{SSE}
SSE
with respect to the best fit line?
Numerical
MEDIUM
4 marks
01 September 2024
02
Points
A
(
4
,
3
)
A(4, 3)
A
(
4
,
3
)
,
B
(
−
3
,
−
4
)
B(-3, -4)
B
(
−
3
,
−
4
)
, and
C
(
m
,
n
)
C(m, n)
C
(
m
,
n
)
are collinear. If points
D
(
−
1
,
2
)
D(-1, 2)
D
(
−
1
,
2
)
,
E
(
5
,
−
4
)
E(5, -4)
E
(
5
,
−
4
)
, and
C
C
C
are also collinear, then what is the value of
4
m
+
9
n
2
m
+
3
n
\frac{4m+9n}{2m+3n}
2
m
+
3
n
4
m
+
9
n
?
Numerical
HARD
3 marks
01 September 2024
03
Find the angle between the stairs and the wall (in degrees).
Comprehension
EASY
2 marks
28 April 2024
04
If the distance between the bottom of the stairs and the wall is
3
m
3\text{ m}
3
m
, the
z
z
z
-coordinate of
P
P
P
is
Comprehension
MEDIUM
1 marks
28 April 2024
05
Let PQRS be a parallelogram with vertices P(-1, 2), Q(3, -4), and S(8, 9). Let (x, y) denote the coordinates of the fourth vertex R. Find the value of 2x + y.
Numerical
MEDIUM
3 marks
24 December 2023
06
A constructor is asked to construct a new road which is at a distance of
2
2
km
2\sqrt{2}\text{ km}
2
2
km
from the municipality office and perpendicular to a road which can be defined by the equation of the straight line
x
−
y
=
8
x - y = 8
x
−
y
=
8
(considering the municipality office to be the origin). Choose the correct option(s) representing the possible equations of the straight lines to represent the new road to be constructed.
Multiple correct
MEDIUM
3 marks
07 August 2022
07
Let
(
a
,
b
)
(a, b)
(
a
,
b
)
denote the point on the line
y
=
2
x
+
3
y = 2x + 3
y
=
2
x
+
3
which is at a minimum distance from the origin
(
0
,
0
)
(0,0)
(
0
,
0
)
. The value of
∣
3
a
∣
+
∣
4
b
∣
|3a| + |4b|
∣3
a
∣
+
∣4
b
∣
is
Numerical
MEDIUM
4 marks
07 August 2022
Showing 7 questions.
Complete question index for this section:
Question 1 (integer):
Question 2 (integer):
Question 3 (comprehension):
Question 4 (comprehension):
Question 5 (integer):
Question 6 (multiple):
Question 7 (integer):
