Prove the tangent to the curve y = x2 - 5x+6 at the point (2, 0) and (

1.	Prove the tangent to the curve y = x2 - 5x+6 at the point (2, 0) and (3, 0) are at right angles.
Answer» We know that if the slope of two tangent of a curve are satisfies a relation m₁m₂ = -1, then tangents are at right angles m : dy/dx = 2x - 5 m₁ at (2, 0) = -1 m₂at (3, 0) = 1 m₁m₂ = (-1)(1) = -1 So, we can say that tangent at (2, 0) and (3, 0) are at right angles.

Prove the tangent to the curve y = x2 - 5x+6 at the point (2, 0) and (3, 0) are at right angles.

Answer»

We know that if the slope of two tangent of a curve are satisfies a relation m₁m₂ = -1, then tangents are at right angles

m : dy/dx = 2x - 5

m₁ at (2, 0) = -1

m₂at (3, 0) = 1

m₁m₂ = (-1)(1) = -1

So, we can say that tangent at (2, 0) and (3, 0) are at right angles.