JEE Mains Model Paper 22

Given curve x = y2 ⇒ 1 = 2y

dy

dx

⇒

dy

dx

=

1

2y

bu

1

2y

= slope of given line = 1
y =

1

2

sub in x = y2 ⇒ x =

1

4

∴ S.D =

3√2

8

Let (x, y) be a point on curve
d |

x−y+1

√2

| ⇒ d(x) = |

x−√x+1

√2

|
d'(x) = 0
1 -

1

2√2

⇒ x =

1

4

y =

1

2

∴ S.D =

3√2

8