The distance formula is $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, derived from the Pythagorean theorem applied to the right triangle formed by the horizontal and vertical differences.
Back to JEE Main 2025 Coordinate Geometry
JEE Main 2025 — Mathematics Coordinate Geometry
medium
mcq
2025
Official previous-year question
Verified 30 May 2026.
Question
The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a Cartesian plane is given by:
Options
- A
$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
- B
$(x_2 - x_1)^2 + (y_2 - y_1)^2$
- C
$|x_2 - x_1| + |y_2 - y_1|$
- D
$\frac{x_2 + x_1}{2}$
Solution
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