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Byju's Answer
Standard XII
Mathematics
Law of Reciprocal
Which of the ...
Question
Which of the following is/are true?
A
1
x
≥
2
⇒
x
≥
1
2
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B
1
x
>
2
⇒
x
<
1
2
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C
1
x
>
2
⇒
0
<
x
<
1
2
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D
1
x
≥
2
⇒
0
<
x
≤
1
2
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Solution
The correct options are
C
1
x
>
2
⇒
0
<
x
<
1
2
D
1
x
≥
2
⇒
0
<
x
≤
1
2
1
x
>
2
⇒
1
x
∈
(
2
,
∞
)
⇒
x
∈
(
0
,
1
2
)
1
x
≥
2
⇒
1
x
∈
[
2
,
∞
)
⇒
x
∈
(
0
,
1
2
]
Suggest Corrections
0
Similar questions
Q.
Find the term independent of x in the expansion of the following expressions:
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Q.
Which of the following are quadratic equations?
(i) x
2
+ 6x − 4 = 0
(ii)
3
x
2
-
2
x
+
1
2
=
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(iii)
x
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+
1
x
2
=
5
(iv)
x
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3
x
=
x
2
(v)
2
x
2
-
3
x
+
9
=
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(vi)
x
2
-
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x
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(ix) x
2
− 3x = 0
(x)
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+
1
x
2
=
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x
+
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x
+
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+
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x
=
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,
x
≠
0
(xiii) 16x
2
− 3 = (2x + 5) (5x − 3)
(xiv) (x + 2)
3
= x
3
− 4
(xv) x(x + 1) + 8 = (x + 2) (x − 2)