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  4. Equation of the straight line making equal intercepts on the axes and passing through the point (2, 4) is :

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Q. Equation of the straight line making equal intercepts on the axes and passing through the point (2, 4) is :

Straight Lines

Solution:

Let intercept on x-axis and y-axis are a and b respectively so that the equation of line is
$\frac{x}{a} + \frac{y}{b} = 1$
But a = b [given]
so; x + y = a
Also it passes through (2, 4) (given)
Thus 2 + 4 = a
$\Rightarrow $ a = 6
Now, the reqd. equation of the straight line
x + y = 6
or, x + y - 6 = 0.