Prove the tangent to the curve at the point (2, 0) and (3, 0) are at right angles.

Question

Philoid · Accepted 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

m₁ at (2, 0) = -1

m₂ at (3, 0) = 1

m₁m₂ = (-1)(1) = -1

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