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प्रश्न
A is a point on X axis with abscissa -5, B is (4, 12). ∴ The length of AB is ______.
विकल्प
15 units
17 units
21 units
11 units
MCQ
रिक्त स्थान भरें
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उत्तर
A is a point on X axis with abscissa -5, B is (4, 12). ∴ The length of AB is 15 units.
Explanation:
Point A lies on the x-axis with abscissa –5 → Coordinates of A = (–5, 0) Point B = (4, 12)
Step 1: Use the Distance Formula
`"Distance" = sqrt((x_2 − x_1)^2 + (y_2 − y_1)^2)`
AB = `sqrt((4 − (−5))^2 + (12 − 0)^2)`
AB = `sqrt((9)^2 + (12)^2)`
AB = `sqrt(81 + 144)`
AB = `sqrt225`
AB = 15
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