Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 58

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Weekly Quiz Competition

Question 1
4 / -1

The equations of two lines through (0,a) which are at distance \'a\' from the point (2a, 2a) are

A
y – a = 0 and 4x – 3y – 3a = 0

B
y – a = 0 and 3x – 4y + 3a = 0

C
y – a = 0 and 4x – 3y + 3a = 0

D
None of the above

Solution
Question 2
4 / -1

A line is such that its segment between the straight lines 5x – y – 4 = 0 and 3x + 4y – 4 = 0 is bisected at the point (1, 5) then its equation is

A
83x – 35y + 92 = 0

B
35x – 83y + 92 = 0

C
35x + 35y + 92 = 0

D
None of these

Solution
Question 3
4 / -1

Equation of the line which passes through the point (–4,3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point, is

A
9x + 20y + 96 = 0

B
20x + 9y + 96 = 0

C
9x – 20y + 96 = 0

D
None of these

Solution
Question 4
4 / -1

The equation of the line which cuts off the intercepts 2a sec θ and 2a cosec θ on the axes is

A
x sin θ + y cos θ – 2a = 0

B
x cos θ + y sin θ – 2a = 0

C
x sec θ + y cosec θ – 2a = 0

D
x cosec θ + y sec θ – 2a = 0

Solution
Question 5
4 / -1

If the equation y = mx + c and x cos α + y sin α = p represents the same straight line, then

A

B

C

D

Solution
Question 6
4 / -1

The equation to the line bisecting the join of (3, –4) and (5,2) and having its intercepts on the x-axis and the y-axis in the ratio 2 : 1 is

A
x + y – 3 = 0

B
2x – y = 9

C
x + 2y = 2

D
2x + y = 7

Solution
Question 7
4 / -1

A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is

A

B

C
1

D

Solution
Question 8
4 / -1

A straight line makes an angle of 135^o with the x-axis and cuts y-axis at a distance –5 from the origin. The equation of the line is

A
2x + y + 5 = 0

B
x + 2y + 3 = 0

C
x + y + 5 = 0

D
x + y + 3 = 0

Solution
Question 9
4 / -1

A straight line through P(1,2) is such that its intercept between the axes is bisected at P. Its equation is

A
x + 2y = 5

B
x – y + 1 = 0

C
x + y – 3 = 0

D
2x + y – 4 = 0

Solution
Question 10
4 / -1

A

B

C

D

Solution