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Angle between the tangents to the curve $y=x^{2}-5x+6$ at the points $\left ( 2,0 \right )$ and $\left ( 3,0 \right )$ is
Option: 1
$\frac{\pi }{2}$

Option: 2
$\frac{\pi }{3}$

Option: 3
$\frac{\pi }{6}$

Option: 4
$\frac{\pi }{4}$

Answers (1)

best_answer

Use the concept

$y= x^2 -5x+6$

$\frac{dy}{dx}= 2x -5$

$m_1 = -1$

$m_2 = 1$

$m_1 \times m_2 =-1$

$\therefore 90^{\circ}$

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