Choose the correct answer: The line y = x + 1 is a tangent to the curve y^ 2 = 4x at the point (A) (1, 2) (B) (2, 1) (C) (1, – 2) (D) (– 1, 2)
Choose the correct answer: The line y = x + 1 is a tangent to the curve y^ 2 = 4x at the point (A) (1, 2) (B) (2, 1) (C) (1, – 2) (D) (– 1, 2)

Given:  Equation of the curve  ……….(i)

Slope of the tangent at point  is 

 ……….(ii)

 Slope of the line 

  is ……….(iii)

From eq. (ii) and (iii),  

 From eq. (i),  

 

Therefore, required point is (1, 2).

Therefore, option (A) is correct.