KCET 2017 Math Solved Paper

Given that, y2=x → (1)
Slope of the curve is given by
m=‌

dy

dx

And we know that, m=tan‌θ
Here, θ=

π

4

so, m=tan(

π

4

)=1
Now, differentiating Eq. (1) with respect to x, we get
2y‌

dy

dx

=1
⇒2y⋅1=1
⇒y=‌

1

2

So, x=

1

4

Therefore, point is (

1

4

,

1

2

)