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MATHEMATICS

JAMB 2019 - Question 20

Mathematics 2019 JAMB Past Questions - Question 20: Find the point(x,y) on the Euclidean plane where the curve y =2x2 -2x +3 has 2 as gradient

Choose the most appropriate option for the gap .

Find the point(x,y) on the Euclidean plane where the curve y =2x2 -2x +3 has 2 as gradient

A: (1,3)

B: (2,7)

C: (0,3)

D: (3,15)

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Correct Answer

Explanation

Equation of curve;y = 2x^2 - 2x + 3gradient of curve;dy/dx = differential coefficientdy/dx = 4x - 2, for gradient to be 2∴ dy/dx = 24x - 2 = 24x = 4∴ x = 1When x = 1, y = 2(1)^2 - 2(1) + 3= 2 - 2 + 3= 5 - 2= 3coordinate of the point where the curve; y = 2x2 - 2x + 3 has gradient equal to 2 is (1, 3)