Question

A non-horizontal line passing through the point (4, 2) and whose distance from the origin is 2 units is

(A)  3x + 4y - 10 = 0

(B)  x + y - 2 = 0

(C)  4x + 3y -10 = 0

(D)  2x + 3y - 2 = 0

Answer 1

Correct option  (c)  4x + 3y - 10 = 0

Explanation :

Let the slope of the line be m. Now the equation of the line, by Theorem 2.2, is

y + 2 = m(x - 4)

 Therefore, by theorem

When m = 0, the line is

y + 2 = 0

which is horizontal. When m = 4/3, the line is

y + 2 = -4/3(x - 4)

4x + 3y - 10 = 0