Equation of a Line Test

Result

Equation of a Line Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

What is the value of m, if equation of the given line is y = mx + b?

A
m = 2

B
m =

C

D

E
Question 2
1 / -0

In the given figure, slope of is , and area of AOB is 48 cm². What is the value of x + y, if coordinates of B are (10, y)?

A
13 cm

B
14 cm

C
19 cm

D
22 cm

E
96 cm
Question 3
1 / -0

A line passing through the origin and point (2, 1) is produced such that it passes through the point (a, b), as shown in the figure. If a = 6, then what is the value of b?

A
2

B
3

C
4

D
5

E
6
Question 4
1 / -0

The equation of the line AB is y = . Which of the following relations between AO and BO is true?

A
AO > BO

B
AO < BO

C
AO = BO

D
AO = BO

E
AO = 2BO
Question 5
1 / -0

In the given figure, OABC is a rectangle. If || m, what is the area of the rectangle OABC?

A
144 sq. units

B
192 sq. units

C
256 sq. units

D
184 sq. units
Question 6
1 / -0

ABCD is a rhombus with coordinates A(3, - 1) and C(5, 6). What is the slope of diagonal BD?

A

B

C

D

E
Question 7
1 / -0

A line passes through the points (– 6, – 7), (0, 0) and (x, y) as shown in the figure. Which of following relations is always true?

A
x = y

B
x > y

C
x < y

D
x > 6

E
y < 4
Question 8
1 / -0

If slope of side AC = – slope of BC, what is the value of 'x' in the given triangle?

A
– 5

B
– 1

C
6

D
15

E
12
Question 9
1 / -0

In the given figure, the slope of line AB is . What is the area of AOB?

A
16 sq. units

B
48 sq. units

C
60 sq. units

D
96 sq. units

E
72 sq. units
Question 10
1 / -0

Lines ' and 'm' pass through the origin and intersect the line y = 6 at points A and B, respectively. If the slope of line is and the distance between A and B is 4 units, then what is the slope of line 'm'?

A

B

C

D
2

E
4
Question 11
1 / -0

A line 'm' is drawn as reflection of the line '' on the x-axis as shown in the figure given below. What will be the slope of line 'm'? (It is given that the reflection is about the x-axis.)

A

B

C

D

E
1
Question 12
1 / -0

Slope of a line passing through (– b, b) and (3b, a) is 1. If b 0, what is the value of 'a' in terms of b?

A
– 2b

B

C

D
5b

E
3b
Question 13
1 / -0

What is the slope of a line that passes through (a, a²) and (b, b²)?

A
a + b

B
a - b

C

D

E
Question 14
1 / -0

A line passing through the points (1, ) and (4, y) is inclined at an angle of 30° with the x-axis. What is the value of y?

A

B
0

C

D

E
Question 15
1 / -0

The coordinates of centre 'O' of a circle are (1, 1). A tangent AP is drawn to the circle at P (4, – 4). What is the slope of AP?

A

B

C

D

E