Question

find the distance between the points p( 5,6) and Q(4,-3). options. A√82. B.√73. C √67. D√55​

Answer 1

$\Large{\underline{\underline{\bold{✯Given:}}}}$

• Point P = (5,6) $→\;{\sf{(X_1,Y_1)}}$
• Point Q = (4,-3) $→\;{\sf{(X_2,Y_2)}}$

$\Large{\underline{\underline{\red{\bold{➸To\;Find:}}}}}$

• Distance between P and Q.

$\Large{\underline{\underline{\blue{\bold{✄Solution:}}}}}$

$\boxed{\green{\sf{\star\; Distance\; between\;two\; points = \sqrt{(X_2-X_1)²+(Y_2-Y_1)²}\;units}}}$

$\sqrt{ {(4 - 5)}^{2} + {( - 3( - 6))}^{2} } \\ \sqrt{ {( - 1)}^{2} + {(3 + 6)}^{2} } \\ \sqrt{1 + {(9)}^{2} } \\ \sqrt{1 + 81} \\ \sqrt{82}$

• $\Large{\sf{\color{salmon} Option\;A\; -\;\sqrt{82}}}$

$\boxed{\tt{@MrSovereign}}$

Hope This Helps!!