Coordinate Geometry
Slope of a Line, Intercepts
jee_main_2026_april_8_shift_2
Grade None
Question:
The line through (0, 2) and (3, 8) intersects the x-axis at P. Find the distance from P to the origin.
Step-by-Step Solution
Key Concept: Find slope, equation, then x-intercept.
Step 1: m = (8-2)/(3-0) = 6/3 = 2. Step 2: Equation: y - 2 = 2(x - 0) => y = 2x + 2. Step 3: x-intercept: y = 0 => 0 = 2x + 2 => x = -1, so P = (-1, 0). Step 4: Distance from P to origin = 1.
Correct Answer: B
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