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Distance Formula — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSDistance Formula2 Marks
Question
Calculate the distance between $A (7, 3)$ and $B$ on the $x-$axis whose abscissa is $11.$
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Answer

We know that any point on $x-$axis has co$-$ordinates of the form $(x, 0).$
Abscissa of point $B = 11$
Since,$B$ lies of $x-$axis, so its co-ordinates are $(11, 0).$
$\text{AB} =\sqrt{(11-7)^2+(0-3)^2} $
$=\sqrt{16+9}$
$ =\sqrt{25} $
$ =5 \text { units }$

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