Question

2. If the distance between the points A(p, 0) and
B(0,p) is 10, find the possible values of p.

Answer 1

p = ±√50 units this must be the possible values of p.

Answer 2

Answer:

$7 \: units$

Step-by-step explanation:

Using distance formula.

$\sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} }$

$\sqrt{ {(0 - p)}^{2} + {(p - 0)}^{2} } = 10$

Squaring both sides.

${(0 - p)}^{2} + {(p - 0)}^{2} = 100$

$0 - 2(0)(p) + {p}^{2} + {p }^{2} - 2(p)(0) + 0 = 100$

$2 {p}^{2} = 100$

${p}^{2} = 50$

$\boxed{p = 7 \: units}$