Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 44

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Weekly Quiz Competition

Question 1
4 / -1

If the equation of base of an equilateral triangle is 2x – y = 1 and the vertex is (–1,2), then the length of the side of the triangle is

A

B

C

D

Solution
Question 2
4 / -1

1f x₁, x₂, x₃ and y₁, y₂, y₃ are both in G.P. with the same common ratio, then the points (x₁, y₁) , (x₂, y₂) and (x₃, y₃)

A
Lie on a straight line

B
Lie on an ellipse

C
Lie on a circle

D
Are vertices of a triangle

Solution
Question 3
4 / -1

A line 4x + y = 1 passes through the point A(2, –7) meets the lines BC whose equation is 3x – 4y + 1 = 0 at the point B. The equation of the line AC so that AB = AC, is

A
52x + 89y + 519 = 0

B
52x + 89y – 519 = 0

C
89x + 52y + 519 = 0

D
89x + 52y – 519 = 0

Solution
Question 4
4 / -1

A
30^o

B
45^o

C
60^o

D
75^o

Solution
Question 5
4 / -1

A
1

B
2

C
3

D
4

Solution
Question 6
4 / -1

Given vertices A(1,1), B(4, –2) and C(5, 5) of a triangle, then the equation of the perpendicular dropped from C to the interior bisector of the angle A is

A
y – 5 = 0

B
x – 5 = 0

C
y + 5 = 0

D
x + 5 = 0

Solution
Question 7
4 / -1

The vertices of a triangle are (2,1), (5,2) and (4,4). The lengths of the perpendicular from these vertices on the opposite sides are

A

B

C

D

Solution
Question 8
4 / -1

Given the four lines with equations x + 2y = 3, 3x + 4y = 7, 2x + 3y = 4 and 4x + 5y = 6, then these lines are

A
Concurrent

B
Perpendicular

C
The sides of a rectangle

D
None of these

Solution
Question 9
4 / -1

The line 3x + 2y = 24 meets y-axis at A and x-axis at B. The perpendicular bisector of AB meets the line through (0, –1) parallel to x-axis at C. The area of the triangle ABC is

A
182 sq.units

B
91 sq.units

C
48 sq.units

D
None of these

Solution
Question 10
4 / -1

A pair of straight lines drawn through the origin form with the line 2x + 3y = 6 an isosceles right angled triangle, then the lines and the area of the triangle thus formed is

A

B

C

D
None of these

Solution