16 give the equations of two lines passing through 2 3 how many more such lines are there

This video is only available for Teachoo black users

Page 2

Last updated at Dec. 8, 2016 by Teachoo

This video is only available for Teachoo black users

Solve all your doubts with Teachoo Black (new monthly pack available now!)

Text Solution

Solution : Since the given solution is (2,14)<br> ∴x=2 and y=14<br> Then, one equation is <br>x+y=2+14=16 x+y=16<br> And, second equation is <br>x−y=2−14=−12 x−y=−12<br> And, third equation is y=7x<br> 7x−y=0<br> So, we can find infinite equations because through one point infinite lines can pass.

Give The Equations Of Two Lines Passing Through (2, 14)How Many More Such Lines Are There, And Why? Maths Q&A

Open in App

Solution:

Given: Point (2, 14) at which lines passing through.

We can think of framing equations that could satisfy the given point (2, 14) on the line.

It can be observed that point (2, 14) satisfies the equation 7x - y = 0 and x - y + 12 = 0.

Therefore, 7x - y = 0 and x - y + 12 = 0 are two lines passing through point (2, 14).

Since we know infinite lines can pass through a single point, therefore there are infinite more lines passing through the given point

☛ Check: NCERT Solutions Class 9 Maths Chapter 4

Video Solution:

Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?

NCERT Solutions Class 9 Maths Chapter 4 Exercise 4.3 Question 2

Summary:

The equations of two lines passing through (2, 14) are 7x − y = 0 and x − y + 12 = 0, there are infinite lines passing through the given point (2, 14).

☛ Related Questions:

Math worksheets and
visual curriculum