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

Question

Equation of the straight line making equal intercepts on the axes and passing through the point (2, 4) is : (A) 4x - y - 4 = 0 (B) 2x + y - 8 = 0 (C) x + y - 6 = 0 (D) x + 2y - 10 = 0

Tardigrade Admin · Accepted Answer

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.

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

4x - y - 4 = 0

2x + y - 8 = 0

x + y - 6 = 0

x + 2y - 10 = 0

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