Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

Angle between tangents to the curve $y=x^2-5 x+6$ at the points (2, 0) and (3, 0) is:

Options:

45°

60°

90°

Correct Answer:

90°

Explanation:

The correct answer is Option (4) - 90°

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

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

so $m_1=\left.\frac{dy}{dx}\right]_{x=2}=-1$

$m_2=\left.\frac{dy}{dx}\right]_{x=2}=1$

$m_1m_2=-1$

so both are at 90° to each other