Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 33

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Weekly Quiz Competition

Question 1
4 / -1

The point (–4, 5) is the vertex of a square and one of its diagonals is (7x – y + 8) = 0.The equation of the other diagonal is

A
7x – y + 23 = 0

B
7y + x = 30

C
7y + x = 31

D
x – 7y = 30

Solution
Question 2
4 / -1

The equations of the lines which pass through the point (3, –2) and are inclined at 60^o to the line √3x + y = 1 are

A

B

C

D
None of the above

Solution
Question 3
4 / -1

The equation of the line joining the origin to the point (–4, 5) is

A
5x + 4y = 0

B
3x + 4y = 2

C
5x – 4y = 0

D
4x – 5y = 0

Solution
Question 4
4 / -1

Equation of the line passing through (1,2) and parallel to the line y = 3x – 1is

A
y + 2 = x + 1

B
y + 2 = 3(x + 1)

C
y – 2 = 3(x – 1)

D
y – 2 = x – 1

Solution
Question 5
4 / -1

The line passing through the point of intersection of x + y = 2, x – y = 0 and is parallel to x + 2y = 5 is

A
x + 2y = 1

B
x + 2y = 2

C
x + 2y = 4

D
x + 2y = 3

Solution
Question 6
4 / -1

The equation of a line through the intersection of lines x = 0 and y = 0 and through the point (2,2), is

A
y = x – 1

B
y = –x

C
y = x

D
y = –x + 2

Solution
Question 7
4 / -1

Equation of a line through the origin and perpendicular to, the line joining (a,0) and (–a, 0) is

A
y = 0

B
n = 0

C
a = –a

D
y = –a

Solution
Question 8
4 / -1

For specifying a straight line how many geometrical parameters should be known ?

A
1

B
2

C
4

D
3

Solution
Question 9
4 / -1

If l,m,n are in arithmetic progression, then the straight line lx + my + n = 0 will pass through the point

A
(–1, 2)

B
(1, –2)

C
(1, 2)

D
(2, 1)

Solution
Question 10
4 / -1

The equation of the line passing through (4,–6) and makes an angle 45^o with positive x-axis, is

A
x – y – 10 = 0

B
x – 2y – 16 = 0

C
x – 3y – 22 = 0

D
None of these

Solution