Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 29

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Weekly Quiz Competition

Question 1
4 / -1

One of the lines represented by the equation x² + 6xy = 0 is

A
Parallel to x-axis

B
Parallel to y-axis

C
x-axis

D
y-axis

Solution
Question 2
4 / -1

The equation 4x² – 24xy + 11y² = 0 represents

A
Two parallel lines

B
Two perpendicular lines

C
Two lines through the origin

D
A circle

Solution
Question 3
4 / -1

If the equation ax² + by² + cx + cy = 0, represents a pair of straight lines, then

A
a(b + c) = 0

B
b(c + a) = 0

C
c(a + b) = 0

D
a + b + c = 0

Solution
Question 4
4 / -1

If the sum of the slopes of the lines given by x² – 2cxy – 7y² = 0 is four times their product, then c has the value

A
–2

B
–1

C
2

D
1

Solution
Question 5
4 / -1

The equation y² – x² + 2x – 1 = 0 represents

A
A pair of straight lines

B
A circle

C
A parabola

D
An ellipse
Question 6
4 / -1

The equation x² + ky² + 4xy = 0 represents two coincident lines, if k =

A
0

B
1

C
4

D
16
Question 7
4 / -1

If one of the lines given by 6x² – xy + 4cy² = 0 is 3x + 4y = 0, then c equals

A
–3

B
–1

C
3

D
1

Solution
Question 8
4 / -1

If the point (2, –3) lies on kx² – 3y² + 2x + y – 2 = 0 then then k is equal to

A
1/7

B
16

C
7

D
12

Solution
Question 9
4 / -1

Difference of slopes of the lines represented by equation x² (sec² θ – sin² θ) – 2xy tanθ + y² sin² θ = 0 is

A
4

B
3

C
2

D
None of these

Solution
Question 10
4 / -1

If the ratio of gradients of the lines represented by ax² + 2hxy + by² = 0 is 1 : 3, then the value of the ratio h² : ab is

A
1/3

B
3/4

C
4/3

D
1

Solution