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Home
Straight Line and Pair of Straight Lines Test - 29
Straight Line and Pair of Straight Lines Test - 29
Result
Straight Line and Pair of Straight Lines Test - 29
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
One of the lines represented by the equation x
2
+ 6xy = 0 is
Correct
Wrong
Skipped
A
Parallel to x-axis
Correct
Wrong
Skipped
B
Parallel to y-axis
Correct
Wrong
Skipped
C
x-axis
Correct
Wrong
Skipped
D
y-axis
Solutions
Question
2/10
4 / -1
The equation 4x
2
– 24xy + 11y
2
= 0 represents
Correct
Wrong
Skipped
A
Two parallel lines
Correct
Wrong
Skipped
B
Two perpendicular lines
Correct
Wrong
Skipped
C
Two lines through the origin
Correct
Wrong
Skipped
D
A circle
Solutions
Question
3/10
4 / -1
If the equation ax
2
+ by
2
+ cx + cy = 0, represents a pair of straight lines, then
Correct
Wrong
Skipped
A
a(b + c) = 0
Correct
Wrong
Skipped
B
b(c + a) = 0
Correct
Wrong
Skipped
C
c(a + b) = 0
Correct
Wrong
Skipped
D
a + b + c = 0
Solutions
Question
4/10
4 / -1
If the sum of the slopes of the lines given by x
2
– 2cxy – 7y
2
= 0 is four times their product, then c has the value
Correct
Wrong
Skipped
A
–2
Correct
Wrong
Skipped
B
–1
Correct
Wrong
Skipped
C
2
Correct
Wrong
Skipped
D
1
Solutions
Question
5/10
4 / -1
The equation y
2
– x
2
+ 2x – 1 = 0 represents
Correct
Wrong
Skipped
A
A pair of straight lines
Correct
Wrong
Skipped
B
A circle
Correct
Wrong
Skipped
C
A parabola
Correct
Wrong
Skipped
D
An ellipse
Question
6/10
4 / -1
The equation x
2
+ ky
2
+ 4xy = 0 represents two coincident lines, if k =
Correct
Wrong
Skipped
A
0
Correct
Wrong
Skipped
B
1
Correct
Wrong
Skipped
C
4
Correct
Wrong
Skipped
D
16
Question
7/10
4 / -1
If one of the lines given by 6x
2
– xy + 4cy
2
= 0 is 3x + 4y = 0, then c equals
Correct
Wrong
Skipped
A
–3
Correct
Wrong
Skipped
B
–1
Correct
Wrong
Skipped
C
3
Correct
Wrong
Skipped
D
1
Solutions
Question
8/10
4 / -1
If the point (2, –3) lies on kx
2
– 3y
2
+ 2x + y – 2 = 0 then then k is equal to
Correct
Wrong
Skipped
A
1/7
Correct
Wrong
Skipped
B
16
Correct
Wrong
Skipped
C
7
Correct
Wrong
Skipped
D
12
Solutions
Question
9/10
4 / -1
Difference of slopes of the lines represented by equation x
2
(sec
2
θ – sin
2
θ) – 2xy tanθ + y
2
sin
2
θ = 0 is
Correct
Wrong
Skipped
A
4
Correct
Wrong
Skipped
B
3
Correct
Wrong
Skipped
C
2
Correct
Wrong
Skipped
D
None of these
Solutions
Question
10/10
4 / -1
If the ratio of gradients of the lines represented by ax
2
+ 2hxy + by
2
= 0 is 1 : 3, then the value of the ratio h
2
: ab is
Correct
Wrong
Skipped
A
1/3
Correct
Wrong
Skipped
B
3/4
Correct
Wrong
Skipped
C
4/3
Correct
Wrong
Skipped
D
1
Solutions
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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