Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 27

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Weekly Quiz Competition

Question 1
4 / -1

The area bounded by the angle bisectors of the lines x² – y² + 2y = 1 and the line x + y = 3, is

A
2

B
3

C
4

D
6

Solution
Question 2
4 / -1

The lines joining the points of intersection of curve 5x² + 12xy – 8y² + 8x – 4y + 12 = 0 and the line x – y = 2 to the origin, makes the angles with the axis

A
30^o and 45^o

B
45^o and 60^o

C
Equal

D
parallel to axis

Solution
Question 3
4 / -1

If one of the lines of my² + (1 – m²) xy – mx² = 0 is a bisector of the angle between the lines xy = 0, then m is

A

B

C
1

D
2

Solution
Question 4
4 / -1

The equation of the bisectors of the angle between the lines represented by the equation x² – y² = 0 is

A
x = 0

B
y = 0

C
xy = 0

D
None of these

Solution
Question 5
4 / -1

The combined equation of bisectors of angles between co-ordinates axis, is

A
x² + y² = 0

B
x² – y² = 0

C
xy = 0

D
x + y = 0

Solution
Question 6
4 / -1

The combined equation of the bisectors of the angle between the lines represented by (x² + y²)√3 = 4xy is

A
x² – y² = 0

B
xy = 0

C
x² + y² = 2xy

D

Solution
Question 7
4 / -1

The equation of the bisectors of the angles between the lines represented by x² + 2xy cot θ + y² = 0 , is

A
x² – y² = 0

B
x² – y² = xy

C
(x² – y²) cot θ = 2xy

D
None of these

Solution
Question 8
4 / -1

One bisector of the angle between the lines given by a(x – 1)² + 2h(x – 1)y + by² = 0 is 2x + y – 2 = 0.The other bisector is

A
x – 2y + 1 = 0

B
2x + y – 1 = 0

C
x + 2y – 1 = 0

D
x – 2y – 1 = 0

Solution
Question 9
4 / -1

The point of intersection of the lines represented by the equation 2x² + 3y² + 7xy + 8x + 14y + 8 = 0 is

A
(0, 2)

B
(1, 2)

C
(–2, 0)

D
(–2, 1)

Solution
Question 10
4 / -1

The point of intersection of the lines represented by equation 2(x + 2)² + 3(x + 2) (y – 2) –2(y – 2)² = 0 is

A
(2, 2)

B
(–2, –2)

C
(–2, 2)

D
(2, –2)

Solution