Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 56

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Question 1
4 / -1

Let A (1, k), B(1, 1) and C (2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of value which \'k\' can take is given by

A
{1,3}

B
{0,2}

C
{–1,3}

D
{–3, –2}

Solution
Question 2
4 / -1

A line meets x-axis and y-axis at the points A and B respectively. If the middle point of AB be (x₁, y₁), then the equation of the line is

A
y₁x + x₁y = 2x₁ y₁

B
x₁x + y₁y = 2x₁y₁

C
y₁x + x₁y = x₁y₁

D
x₁x + y₁y = x₁y₁

Solution
Question 3
4 / -1

The equation of the line parallel to the line 2x – 3y = 1 and passing through the middle point of the line segment joining the points (1,3) and (1, –7), is

A
2x – 3y + 8 = 0

B
2x – 3y = 8

C
2x – 3y + 4 = 0

D
2x – 3y = 4

Solution
Question 4
4 / -1

The equation of a straight line passing through (–3, 2) and cutting an intercept equal in magnitude but opposite in signs from the axes is given by

A
x – y + 5 = 0

B
x + y – 5 = 0

C
x – y – 5 = 0

D
x + y + 5 = 0

Solution
Question 5
4 / -1

The equation of a line passing through the point of intersection of the lines x + 5y + 7 = 0, 3x + 2y – 5 = 0, and perpendicular to the line 7x + 2y – 5 = 0, is given by

A
2x – 7y – 20 = 0

B
2x + 7y – 20 = 0

C
– 2x + 7y – 20 = 0

D
2x + 7y + 20 = 0

Solution
Question 6
4 / -1

A line passes through the point of intersection of 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7 is

A
3x + 4y + 3 = 0

B
3x + 4y = 0

C
4x – 3y + 3 = 0

D
4x – 3y = 3

Solution
Question 7
4 / -1

The equation of the line which cuts off an intercept 3 units on OX and an intercept –2 unit on OY, is

A

B

C

D

Solution
Question 8
4 / -1

The equation of a line through (3, –4) and perpendicular to the line 3x + 4y = 5 is

A
4x + 3y = 24

B
y – 4 = (x + 3)

C
3y – 4x = 24

D

Solution
Question 9
4 / -1

The points A(1,3) and C(5,1) are the opposite vertices of rectangle. The equation of line passing through other two vertices and of gradient 2, is

A
2x + y – 8 = 0

B
2x – y – 4 = 0

C
2x – y + 4 = 0

D
2x + y + 7 = 0

Solution
Question 10
4 / -1

The intercept cut off from y-axis is twice that from x-axis by the line and line is passing through (1,2) then its equation is

A
2x + y = 4

B
2x + y + 4 = 0

C
2x – y = 4

D
2x – y + 4 = 0

Solution