The slope of a curve at any point is given by with

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The slope of a curve at any point is given by

\dfrac{dy}{dx}=\dfrac{2y-3x}{4y+5}

with

y\neq-\dfrac{5}{4}

. Under which condition on

x

and

y

will the tangent to the curve be horizontal? (a)

(2y-3x)(4y+5)=0

(b)

4y+5=0

(c)

2y-3x=0

(d)

2y-3x=4y+5

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