Question

6. The side AB of a square ABCD is parallel to x-axis . Find the
(i) slope of AB (ii) slope of BC (iii) slope of the diagonal AC

Answer 1

Suppose a line makes an angle A with X axis. Then A is known as angle of inclination of the line

Its slope = tan A



1. Since the side AB Parallel to X axis
its angle of inclination with x axis is 0 degree

Slope of AB = tan (0) = 0

2.Since the side BC perpendicular to X axis its angle of inclination with X axis is 90 degrees

Slope of BC = tan (90) = infinite

3. Since the diagonal AC makes an angle 45 degrees with X axis

Slope of AC = tan (45) = 1

I hope this answer helps you

Answer 2

Solution :

It is given that ,

ABCD is a square .

AB is parallel to x- axis .

i ) slope of AB = slope x - axis

= 0

ii ) slope of BC = tan x°

= Slope of y - axis

= Not defined

iii ) Slope of diagonal AC

= tan 45°

= 1/√2

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