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