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Find the coordinates of the point in the curve y = 3x\(^2\) - 2x -...

Further Mathematics
WAEC 2019

Find the coordinates of the point in the curve y = 3x\(^2\) - 2x - 5 where the tangent is parallel to the line y = - 5 = 8x

  • A. \(\begin{pmatrix} - \frac{5}{3} &, 0 \end {pmatrix}\)
  • B. \(\begin{pmatrix} 0, & - \frac{5}{3} \end {pmatrix}\)
  • C. \(\begin{pmatrix} 0, & \frac{5}{3} \end {pmatrix}\)
  • D. \(\begin{pmatrix} \frac{5}{3} &, 0 \end {pmatrix}\)
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Correct Answer: Option D
Explanation

y = 8x + 5 

m = 8

y = 3x\(^2\) - 2x - 5 

\(\frac{dy}{dx}\) = 6x - 2x - 5

\(\frac{6x}{6} = \frac{10}{6}\) 

x = \(\frac{5}{3}\)

y = 0 

 


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