Math, asked by arushi798, 9 months ago

product of slope of tangent and normal is equal to -1......true or false?​

Answers

Answered by chnarayana4874
1

Answer:

The answer is true....

Answered by harendrachoubay
1

True, the given statement is true.

Step-by-step explanation:

The product of slope of tangent and normal = - 1 (True/False)

We know that,

The slope of tangent = \dfrac{dy}{dx}

and

The slope of normal = \dfrac{-1}{\dfrac{dy}{dx}}

∴ The slope of tangent × The slope of normal

= \dfrac{dy}{dx} × \dfrac{-1}{\dfrac{dy}{dx}}

= - 1

The product of slope of tangent and normal = -1, true

Thus, true, the given statement is true.

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