Question

Equation to the straight line cutting off an intercept 2 from negative direction of the axis of y and inclined at `30^@` to the positive direction of axis of x is :
A. `x-2sqrt(3)y-3sqrt(2)=0`
B. `x+2sqrt(3)y-3sqrt(2)=0`
C. `x+sqrt(3)y-2sqrt(3)=0`
D. `x-sqrt(3)y-2sqrt(3)=0`

Answer 1

Correct Answer - D
Given, angle `(theta)=30^(@)`

`:. M=tan 30^(@)=1/sqrt(3)`
Point `=(-2, 0)` i.e., `C=-2`.
Slope-intercept form is `y=mn +c`
`implies y=1/sqrt(3)x-2`
`implies sqrt(3) y=x-2sqrt(3)`
`implies x-sqrt(3)y-2sqrt(3)=0`.