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Byju's Answer
Standard XII
Mathematics
Normal of a Curve y = f(x)
If x = t^2and...
Question
If
x
=
t
2
and y = 2t, then equation of the normal at t = 1 is
[RPET 1996]
A
x + y - 3 = 0
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B
x + y - 1 = 0
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C
x + y + 1 = 0
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D
x + y + 3 = 0
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Solution
The correct option is
A
x + y - 3 = 0
Let y
=
t
a
n
−
1
√
1
−
x
2
1
+
x
2
a
n
d
z
=
c
o
s
−
1
(
x
2
)
Put
x
2
=
c
o
s
2
θ
;
∴
y
=
t
a
n
−
1
√
2
s
i
n
2
θ
2
c
o
s
2
θ
=
θ
a
n
d
z
=
2
θ
∴
d
y
d
z
=
d
y
/
d
θ
d
z
/
d
θ
=
1
2
.
Suggest Corrections
0
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