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
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

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.).

Practice Similar Line Questions

Reinforce your conceptual grasp with related questions from NIMCET 2013:

Q7 Let ΔABC be a triangle whose area is 10√3 units with side...
Solve →
Q28 The equation of the line parallel to the line 2x - 3y = 7 and passing...
Solve →
Q36 The equation of the base of an equilateral triangle is x + y = 2 and one...
Solve →
Q1 If \( A= 1 & 0 & 0 \\\ 0 & 1 &...
Solve →
Q2 Let \( a = j - k \) and 
Solve →
Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →