First slide

Application of diffrentiation

Question

Consider the following statements
(A) Slope $(i . e ., \frac{dy}{dx})$ is positive if y increases with increase in x.
(B) Slope of a straight line is a variable quantity.
Select the correct options

Easy

A

Both (A) and (B) are true
B

(A) is true but (B) is false
C

(A) is false but (B) is true
D

Both (A) and (B) are false

Solution

Slope $\frac{dy}{dx}$ represents rate of change of y with corresponding change in x. A positive slope indicates increase in y when x increases.
Slope of a straight line $y = m x + c$ is $\frac{d y}{d x} = m$ which is constant.

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