The number of normals drawn to the parabola y2=4 x from the point (1,0) is

Question

The number of normals drawn to the parabola y2=4 x from the point (1,0) is (A) 0 (B) 1 (C) 2 (D) 3

Tardigrade Admin · Accepted Answer

Given curve is y2=4 x Also, point (1,0) is the focus of the parabola. It is clear from the graph that only one normal is possible. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/1461dd9d1c336d68b3fafd3136575b91-.png" />

Q. The number of normals drawn to the parabola $y^{2} = 4 x$ from the point $(1, 0)$ is

0

1

2

3

Given curve is $y^{2} = 4 x$
Also, point $(1, 0)$ is the focus of the parabola.
It is clear from the graph that only one normal is possible.

Q. The number of normals drawn to the parabola y2=4x from the point (1,0) is

0

1

2

3

Given curve is y2=4x Also, point (1,0) is the focus of the parabola. It is clear from the graph that only one normal is possible.

Q. The number of normals drawn to the parabola $y^{2} = 4 x$ from the point $(1, 0)$ is

Given curve is $y^{2} = 4 x$
Also, point $(1, 0)$ is the focus of the parabola.
It is clear from the graph that only one normal is possible.