1,
Q22. At what point on the curve y = x² does the tangent makes an angle of 45° with x -
axis?
023. Fyaluate. ( sinar cos ar dy
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Answer:
Q22=
ANSWER
The required point be (x,y)
The tangent makes an angle of 45
o
with the x−axis.
∴ Slop of the tangent =tan45
o
=1
Since, the point lies on the curve.
Now, y=x
2
Differentiate w.r.t x,
⇒
dx
dy
=2x
Slop of the tangent =(
dx
dy
)
(x,y)
=2x
⇒ 2x=1 [ Given ]
⇒ x=
2
1
Now,
⇒ y=x
2
=(
2
1
)
2
=
4
1
∴ (x,y)=(
2
1
,
4
1
)
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