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Byju's Answer
Standard IX
Mathematics
Distance Formula
If x has a no...
Question
If
x
has a non zero value, then match the value of
x
in each case.
A
4
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B
2
√
2
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C
6
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Solution
Since the abscissa of both P and Q are equal,
x
= distance between P and Q = difference between ordinates of P and Q.
∴
x
=
6
−
2
=
4
Since
x
is the distance between P and Q,
by distance formula, distance
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
=
√
(
4
−
2
)
2
+
(
1
−
3
)
2
=
√
4
+
4
=
2
√
2
∴
x
=
2
√
2
By distance formula,
3
√
2
=
√
(
3
−
x
)
2
+
(
1
−
4
)
2
⇒
18
=
9
−
6
x
+
x
2
+
9
⇒
x
2
=
6
x
⇒
x
2
−
6
x
=
0
⇒
x
(
x
−
6
)
=
0
E
i
t
h
e
r
x
=
0
o
r
x
=
6
Given
x
has a non zero value
∴
x
=
6
Suggest Corrections
0
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