Question

Choose the option that is false *

a) The slope of line is zero when ɵ = 0

b)If ɵ < 90° then slope of line is positive

c) If 90° <ɵ <180° then slope of line is not defined

d) If ɵ = 90° then slope of line is not defined​

Answer 1

Answer:

1. false

2. true

3.true

4.false

5.false

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Choose the option that is false 

a) The slope of line is zero when θ = 0

b) If θ < 90° then slope of line is positive

c) If 90° < θ < 180° then slope of line is not defined

d) If θ = 90° then slope of line is not defined

EVALUATION

We know if a line makes an angle θ with x axis then slope of the line is denoted by m and defined as

m = tanθ

a) When θ = 0°

m = tanθ = tan0° = 0

The slope of line is zero

So the statement is true

b) When θ < 90°

Then θ lies in first quadrant

So tanθ is positive

Thus the slope of line is positive

So the statement is true

c) When 90° < θ <180°

Suppose θ = 135°

m = tanθ = tan 135° = - 1

So slope of line is defined

So the statement is False

d) When θ = 90°

m = tanθ = tan 90° Which is undefined

The slope of line is not defined

So the statement is true

FINAL ANSWER

Hence the correct option is

c) If 90° < θ < 180° then slope of line is not defined

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