Find the slope of the line, which makes an angle of $30^{\circ}$ with the positive direction of $y$ -axis measured anticlockwise.

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Geometry

NCERT Class 11 - Math

Chapter 10

Straight Lines

Section 1

Introduction

Discussion

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Video Transcript

discussion. We have to find out the slope of the line which makes an angle of 30 degrees with the positive direction of Y axis measured anti clockwise. So now if you just look at this figure, you will get a clear picture of what is being asked in the question. The lion makes an angle of 30° from the positive by access. Right? It was already given to us. Therefore it makes an angle of 90. It makes an angle of 90 degrees plus 30 degrees without positive X axis. Right? So from you can say positive X. Access. So that needs the angle over here, that will be 1 20 degrees measured uh anti clockwise from the positive X axis. So if you know that needs to eat over here, tita is equal to 120 degrees. Now we all know that the slope of the line is given by slope is equal to M is equal to tan peter presented. Now tita is a call to 20 degrees. That means M is equal to turn off 1 20 degrees and this 1 20 degrees can be expressed as than all 1 80 minus 60 degrees. Right now, ton of vanity minus theta is equal to minus dan pita. We seem to be have already done this before. A ton of vanity degrees minus theta is always equal to minus Dante to. So that means a ton of vanity degrees minus 60 degrees will be equal to minus Tan 60 degrees And 1060° is equal to and the root of three and there's a minus sign. So just put a negative sign before that. Therefore the slope of the line will be equal to slope is equal to minus and the route three. This is your answer. Okay.

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