Find the values of $y$ for which the distance between the points $\mathrm{P}(2,-3)$ and $\mathrm{Q}(10, y)$ is 10 units.

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Geometry

NCERT Class 10 - Math

Chapter 7

Coordinate Geometry

Section 1

Introduction

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Problem 1

Problem 2

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Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Video Transcript

we are going to do problem number eight in this question, we have to find the value of five for which the distance we're doing this. To coordinate these are 10. So the coordinate sp there is equals two are two common ministry and cornered Q. That is equals to 10. Come away conditions is 10 units there. So if you find the distance between PQ by using distance formula, that is equals two X two minus X one Holy square plus. Why two minutes When when holding square. Okay, so speak you. This will be equals two under order extra extra in this case is 10 so 10 minutes to Holy Square plus. That is why two minus Y one. So I do in this case is why I went in this case is ministry, so they should become plus three Holy square. Now that is saying that the distance PQ is 10 units of alleged has 10. This is equals two. Then Minister that is 80 square plus Y plus three Holy square. So they just discard both sides. We are getting 100 equals to 86 to 64 plus Y plus three. Holy square. This convergence Y is squared plus three squared is nine plus 336. So this is six. Y. It just expanded it as in the form of A plus B. Holy square. That's obstructing 64. Both sides were getting ahead. That is 36 equals two. Why is square plus nine plus six white? We can solve it like this. Also, if you want, you can just uh keep this square to Maria that we have just expanded this Y plus three holy square. That would be easy for us because uh we can just solve this simply. Now. If we just keep it like this as we are getting to the Squire down form, we can just solve it by completing the square method. We can just solve it like this. Also, it's depending on our choice is so this is that we just traded here. We will just tried it without expanding. So this is why plus three Holy square. So we're getting this as y plus 300 square. Now putting a square on both side. So we are getting here. Underwrote to 36 plus minutes until you there. So this is why plus three. So y plus three. This will be equals to plus minus six. We finished a sub strapped three both sides. So we are having a Y equals to six ministry that is three and minus six minutes to that is uh minus nine. So we got the value of why that why is it constitute three? Or why could be minus nine? So this is the answer. That's all. Thank you.

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