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Byju's Answer
Standard XII
Mathematics
Intercept Form of a Line
The perpendic...
Question
The perpendicular form of the straight line
y
=
x
+
4
is
x
cos
α
+
y
sin
α
=
p
.
Then,
A
α
=
45
∘
,
p
=
√
2
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B
α
=
45
∘
,
p
=
2
√
2
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C
α
=
135
∘
,
p
=
√
2
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D
α
=
135
∘
,
p
=
2
√
2
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Solution
The correct option is
D
α
=
135
∘
,
p
=
2
√
2
y
=
x
+
4
−
x
+
y
=
4...
(
i
)
Dividing equation
(
i
)
by
√
(
−
1
)
2
+
1
2
=
√
2
,we get
−
x
√
2
+
y
√
2
=
2
√
2
⇒
x
cos
135
∘
+
y
sin
135
∘
=
2
√
2
⇒
α
=
135
∘
,
p
=
2
√
2
Suggest Corrections
0
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