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Coordinate Geometry

Slope of a Line, Intercepts

jee_main_2026_april_5_shift_1

Grade 12

Question:

The line through (1, 2) and (4, 8) intersects the y-axis at P. Find the distance from P to the origin.

A. 0

B. 1

C. 2

D. 3

Step-by-Step Solution

Key Concept: Find slope, equation, then y-intercept.

Step 1: m = (8-2)/(4-1) = 2. Step 2: Equation: y - 2 = 2(x - 1) => y = 2x. Step 3: y-intercept: x = 0 => y = 0, so P = (0, 0). Step 4: Distance from P to origin = 0.

Correct Answer: A

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