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Home
Straight Line and Pair of Straight Lines Test - 28
Straight Line and Pair of Straight Lines Test - 28
Result
Straight Line and Pair of Straight Lines Test - 28
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
The equation (x + y)
2
– (x
2
+ y
2
) = 0 represents
Correct
Wrong
Skipped
A
A circle
Correct
Wrong
Skipped
B
Two lines
Correct
Wrong
Skipped
C
Two parallel lines
Correct
Wrong
Skipped
D
Two mutually perpendicular lines
Question
2/10
4 / -1
Two lines represented by equation x
2
+ xy + y
2
= 0 are
Correct
Wrong
Skipped
A
Coincident
Correct
Wrong
Skipped
B
Parallel
Correct
Wrong
Skipped
C
Mutually perpendicular
Correct
Wrong
Skipped
D
Imaginary
Solutions
Question
3/10
4 / -1
If the equation hxy + gx + fy + c = 0 represents a pair of straight lines, then
Correct
Wrong
Skipped
A
fh = cg
Correct
Wrong
Skipped
B
fg = ch
Correct
Wrong
Skipped
C
h
2
= gf
Correct
Wrong
Skipped
D
fgh = c
Solutions
Question
4/10
4 / -1
The values of h for which the equation 3x
2
+ 2hxy – 3y
2
– 40x + 30y – 75 = 0 represents a pair of straight lines, are
Correct
Wrong
Skipped
A
4, 4
Correct
Wrong
Skipped
B
4, 6
Correct
Wrong
Skipped
C
4, –4
Correct
Wrong
Skipped
D
0, 4
Solutions
Question
5/10
4 / -1
The equation (x – 5)
2
+ (x – 5)(y – 6) –2(y – 6)
2
= 0 represents
Correct
Wrong
Skipped
A
A circle
Correct
Wrong
Skipped
B
Two straight lines passing through origin
Correct
Wrong
Skipped
C
Two straight lines passing through the point (5, 6)
Correct
Wrong
Skipped
D
None of these
Solutions
Question
6/10
4 / -1
A second degree homogeneous equation in x and y always represents
Correct
Wrong
Skipped
A
A pair of straight lines
Correct
Wrong
Skipped
B
A circle
Correct
Wrong
Skipped
C
A conic section
Correct
Wrong
Skipped
D
None of the above
Question
7/10
4 / -1
If 4ab = 3h
2
, then the ratio of slopes of the lines represented by the equation ax
2
+ 2hxy + by
2
= 0 will be
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
2 : 1
Correct
Wrong
Skipped
D
1 : 3
Solutions
Question
8/10
4 / -1
The lines a
2
x
2
+ bcy
2
= a(b + c)xy will be coincident, if
Correct
Wrong
Skipped
A
a = 0 or b = c
Correct
Wrong
Skipped
B
a = b or a = c
Correct
Wrong
Skipped
C
c = 0 or a = b
Correct
Wrong
Skipped
D
a = b + c
Solutions
Question
9/10
4 / -1
The equation xy + a
2
= a(x + y) represents
Correct
Wrong
Skipped
A
A parabola
Correct
Wrong
Skipped
B
A pair of straight lines
Correct
Wrong
Skipped
C
An ellipse
Correct
Wrong
Skipped
D
Two parallel straight lines
Question
10/10
4 / -1
The equation 2y
2
– xy – x
2
+ 6x – 8 = 0 represents
Correct
Wrong
Skipped
A
A pair of straight lines
Correct
Wrong
Skipped
B
A circle
Correct
Wrong
Skipped
C
An ellipse
Correct
Wrong
Skipped
D
A parabola
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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