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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
x 2 -3x / x-3...
Question
x
2
−
3
x
x
−
3
≥
0
A
[
0
,
3
]
∪
[
3
,
∞
]
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B
[
0
,
−
∞
]
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C
[
3
,
∞
]
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D
None of these
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Solution
The correct option is
A
[
0
,
3
]
∪
[
3
,
∞
]
R.E.F image
x
2
−
3
x
x
−
3
≥
0
x
(
x
−
3
)
x
−
3
≥
0
x
≠
3
x
ϵ
[
0
,
3
)
∪
(
3
,
∞
)
Suggest Corrections
0
Similar questions
Q.
The equations of the lines which pass through the point (3, –2) and are inclined at 60° to the line
3
x
+
y
=
1
are
(a)
y
+
2
=
0
,
3
x
–
y
–
2
–
3
3
=
0
(b)
x
–
2
=
0
,
3
x
–
y
+
2
+
3
3
=
0
(c)
3
x
–
y
–
2
±
3
3
=
0
(d) none of these
Q.
The equation of the tangents to the circle
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2
+
y
2
+
6
x
+
6
y
+
2
=
0
, which is parallel to
3
x
+
4
y
+
8
=
0
are
Q.
Consider the family of lines
(
x
−
y
−
6
)
+
λ
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x
+
y
+
3
)
=
0
and
(
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+
μ
(
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x
−
2
y
−
4
)
=
0.
If the lines of these two families are at right angle to each other, then the locus of their point of intersection is
Q.
State true or false:
If
3
x
−
x
2
=
0
, then
x
=
0
or
x
=
3
.
Q.
The number of real solutions of the equation
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Condition for Two Lines to Be Parallel
Standard XII Mathematics
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