Chapter: Co-ordinate Geometry· Mathematics Part 2 (Geometry)
Answer: PQ = 10 units
By distance formula,
\(PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(5 - (-1))^2 + (-7 - 1)^2}\)
\(= \sqrt{6^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10\)
\(\therefore\) PQ = 10 units.