Coordinate Geometry
Slope of a Line, Intercepts
jee_main_2026_april_4_shift_2
Grade 12
Question:
The line passing through (1, 2) and (3, 8) intersects the y-axis at P. Find the distance from P to the point (0, 0).
Step-by-Step Solution
Key Concept: Find slope, equation of line, then y-intercept, then distance.
Step 1: Slope m = (8-2)/(3-1) = 3. Step 2: Equation: y - 2 = 3(x - 1) => y = 3x - 1. Step 3: y-intercept: set x = 0 => y = -1, so P = (0, -1). Step 4: Distance from P(0, -1) to (0, 0) = 1.
Correct Answer: A
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