Question

The tangent to the curve y = 2x² – x + 1 is parallel to the line y = 3x + 9 at the point whose co-ordinates are –

• A. (– 1, 5)
• B. (1, 2)
• C. (2, 7)
• D. (3, 16)

Answer 1

Answer: (B)

(1, 2)

Answer 2

$\frac{dy}{dx}$ = 4x – 1 = 3 (given)

x = 1

put x = 1 we have

y = 2 – 1 + 1 = 2 = (1, 2)