Find the distance between the points $A (3, - 2)$ and $B (- 1, 4)$ .

easy MCQ 1 mark Class 10 · Mathematics · Coordinate Geometry

Answer

52

The correct answer is $52$ — Take the square root: $d = 52$ .

Step-by-step solution

Write the distance formula $d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$ .
Substitute $x_{1} = 3, y_{1} = - 2, x_{2} = - 1, y_{2} = 4$ .
Compute the differences: $x_{2} - x_{1} = - 1 - 3 = - 4$ , $y_{2} - y_{1} = 4 - (- 2) = 6$ .
Square the differences and add: $(- 4)^{2} + 6^{2} = 16 + 36 = 52$ .
Take the square root: $d = 52$ .

Common mistake: Forgetting to square the negative difference or omitting the square root at the end.

Concept tested: Distance formula