Correct Answer - Option 1 : 45°
Concept:
Intercept form of Line:
\(\rm \frac{x}{a} + \frac{y}{b} = 1 \), where a and b are the intercept on the coordinate axis.
Equation of straight line, y = mx + c, where m is the gradient, c is the intercept
Calculation:
The intercept form of a straight line is \(\rm \frac{x}{a} + \frac{y}{b} = 1 \)
Given: A-line cuts off equal intercepts on the co-ordinate axes
So, a = b, so the equation can be written as,
x + y = a
⇒ y = - x + a
From the above equation if we compare it with the equation of straight line y = mx + c we get
m = -1
so, tan θ = -1
⇒ θ = 135°
Now the angle made by this line with the negative direction of the X-axis = 180° - θ
= 180°- 135°
= 45°
