Question Bank - P2 — Maths STD 10 — Question

Let $P\left(x_1, y_1\right)=P(-1,1)$ and $Q\left(x_2, y_2\right)=Q(5,-7)$

Here, $x_1=-1, y_1=1, x_2=5, y_2=-7$

By distance formula,

$d(P, Q)=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\therefore d(P, Q)=\sqrt{[5-(-1)]^2+(-7-1)^2}$

$\therefore d(P, Q)=\sqrt{36+64}$

$\therefore d(P, Q)=\sqrt{100}$

$\therefore d(P, Q)=10 \mathrm{~cm}$