For a smooth parametric curve

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

(x(t),y(t))

, the tangent lines at parameter values

t=a

and

t=b

are perpendicular. State the algebraic relationship that must hold between the values of

\dfrac{dy}{dx}

evaluated at

t=a

and

t=b