Question

The equation of the tangent to the parabola y = x² – x at the point where x = 1, is

• A. y = – x – 1
• B. y = – x + 1
• C. y = x + 1
• D. y = x – 1

Answer 1

Answer: (D)

y = x – 1

Answer 2

Parabola y = x² – x, x = 1 ̃ y = 0

Eq. of tangent at (1, 0), T = 0

̃ $\left( \frac{y + 0}{2} \right)$ = x(1) – $\left( \frac{x + 1}{2} \right)$ ̃ y = x – 1