Question 4

Mathematics Line Easy

If the straight line ax + by + c = 0 always passes through (1, -2), then a, b, c are in

(A) A.P.
(B) H.P.
(C) G.P.
(D) None of these
View Dynamic Solution & Explanation
Correct Solution: Option A

Step-by-step Solution:

The line \( ax + by + c = 0 \) passes through the point \( (1, -2) \). Substituting the point into the equation: \[ a(1) + b(-2) + c = 0 \] \[ a - 2b + c = 0 \] Rewriting: \[ a + c = 2b \] Thus, \( a \), \( b \), and \( c \) are in arithmetic progression (A.P.).