NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 26
Total: 74
Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
Solution:  
Let the required line make intercepts a on the x-axis and y-axis.
Then its equation is
x
a
+
y
b
= 1
⇒ x + y = a ... (i)
Since (i) passes through the point (2, 3), we have
2 + 3 = a ⇒ a = 5
So, required equation of the line is
x
5
+
y
5
=1x+y
=5
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