Prove that the tangents to the curve `y=x^2-5+6` at the points `(2,0)a n d(3,0)` are at right angles.

Explanation

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

at point `(2,0)`

`dy/dx = 2x- 5`

at (2,0) , `dy/dx = -1`

at (3,0)`dy/dx= 1`

`(m_1)(m_2) = -1`

so, they are at right angles

hence proved