The point on the curve y2 = x, where the tangent makes an angle of  with the x-axis, is:

  1. (4, 2)
  2. (1, 1)

Answer (Detailed Solution Below)

Option 3 :
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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Concept:

The angle made by the tangent to the curve y = f(x) at a point (a, b), with the x-axis, is given by m = tan θ = .

Calculation:

The given curve is y2 = x.

⇒ 

⇒ 

For the tangent to make an angle of , we must have:

tan 

⇒ 1 = 

⇒ y = 

Also, x = y2.

The required point is .

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