CBSE Notes, Lectures

CBSE - Mathematics - Linear Equations in Two Variables

Linear Equations in Two Variables

NCERT Exercise Exercise 4.3

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

Here, x = 2 and y =14.
Thus, x + y = 1 
also, y = 7x ⇒ y - 7x = 0
∴ The equations of two lines passing through (2, 14) are
x + y = 1 and y - 7x = 0.
There will be infinite such lines because infinite number of lines can pass through a given point.

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