Subnormal

Q. For the curve $b{y}^2=(x+a{)}^3$ the square of subtangent is proportional to
[RPET 1999]

1. $ta{n}^{-1}\left(3\right)$
2. $ta{n}^{-1}\left(2\right)$
3. $\frac{\pi }{2}$
4. $\frac{\pi }{4}$

Q. For the curve $xy=c^2$ the subnormal at any point varies as
[Karnataka CET 2003]

1. $x^2$
2. $x^3$
3. $y^2$
4. $y^3$

Q. For the curve $b{y}^2=(x+a{)}^3$ the square of subtangent is proportional to
[RPET 1999]

1. $ta{n}^{-1}\left(3\right)$
2. $ta{n}^{-1}\left(2\right)$
3. $\frac{\pi }{2}$
4. $\frac{\pi }{4}$

Q.

The sub-normal at any point of the curve $x^2{y}^2=a^2(x^2-a^2)$ varies as

1. $(Abcissa{)}^{-3}$

2. $(Abcissa{)}^3$

3. $(Ordinate{)}^{-3}$
4. $(Ordinate{)}^3$