If the three normals drawn to the parabola, y 2=2 x pass through the point ( a , 0) a ≠ 0, then 'a' must be greater than :

Question

If the three normals drawn to the parabola, y 2=2 x pass through the point ( a , 0) a ≠ 0, then 'a' must be greater than : (A) (1/2) (B) -(1/2) (C) -1 (D) 1

Tardigrade Admin · Accepted Answer

For standard parabola For more than 3 normals (on axis) x >( L /2) (where L is length of L.R.) For y2=2 x L.R. =2 for (a, 0) a >( text L.R. /2) ⇒ a>1

Q. If the three normals drawn to the parabola, $y^{2} = 2 x$ pass through the point $(a, 0) a \neq = 0$ , then 'a' must be greater than :

$\frac{1}{2}$

$- \frac{1}{2}$

$- 1$

1

For standard parabola For more than 3 normals (on axis)
$x > \frac{L}{2}$ (where $L$ is length of L.R.)
For $y^{2} = 2 x$
L.R. $= 2$
for $(a, 0)$
a $> \frac{L.R.}{2} \Rightarrow a > 1$

Q. If the three normals drawn to the parabola, y2=2x pass through the point (a,0)a=0, then 'a' must be greater than :

21​

−21​

−1

1

For standard parabola For more than 3 normals (on axis) x>2L​ (where L is length of L.R.) For y2=2x L.R. =2 for (a,0) a >2 L.R. ​⇒a>1

Q. If the three normals drawn to the parabola, $y^{2} = 2 x$ pass through the point $(a, 0) a \neq = 0$ , then 'a' must be greater than :

$\frac{1}{2}$

$- \frac{1}{2}$

$- 1$

For standard parabola For more than 3 normals (on axis)
$x > \frac{L}{2}$ (where $L$ is length of L.R.)
For $y^{2} = 2 x$
L.R. $= 2$
for $(a, 0)$
a $> \frac{L.R.}{2} \Rightarrow a > 1$