Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 68

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Question 1
4 / -1

A line through the point A(2, 0) which makes an angle of 30° with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15°. Then the equation of the straight line in the new position is

A

B

C

D

Solution
Question 2
4 / -1

The equations of the lines which pass through the origin and are inclined at an angle tan^–1 m to the line y = mx + c, are

A
x = 0, 2mx + (m² – 1) y = 0

B
y = 0, 2mx + (m² – 1) y = 0

C
y = 0, 2mx + (1 – m²) y = 0

D
None of the above

Solution
Question 3
4 / -1

A

B

C

D
None of the above

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

The equations of the lines through the point of intersection of the lines x – y + 1 = 0 and 2x – 3y + 5 = 0 and whose distance from the point (3,2) is 7/5, are

A
3x – 4y – 6 = 0 and 4x + 3y + 1 = 0

B
3x – 4y + 6 = 0 and 4x – 3y – 1 = 0

C
3x – 4y + 6 = 0 and 4x – 3y + 1 = 0

D
None of the above

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

The opposite angular points of a square are (3, 4) and (1, –1). Then the co-ordinates of other two points are

A

B

C

D
None of these

Solution
Question 8
4 / -1

The base BC of a triangle ABC is bisected at the point (p, q) and the equations to the sides AB and AC arc respectively px + qy = 1 and px + py = 1. Then the equation to the median through A is

A

B

C

D
None of the above

Solution
Question 9
4 / -1

In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are respectively (1, 2) and (2, 1). If the equation of the line AB is y = 2x, then the equation of the line AC is

A

B

C

D

Solution
Question 10
4 / -1

A vertex of equilateral triangle is (2, 3) and equation of opposite side is x + y = 2, then the equation of the one side from rest two, is

A
y – 3 = 2(x – 2)

B
y – 3 = (2 – √3)(x – 2)

C
y – 3 = (√3 – 1) (x – 2)

D
None of the above

Solution