A) \[2\sqrt{3}\]units
B) \[\sqrt{5}\]units
C) \[\left( \sqrt{13}+\sqrt{5} \right)\]units
D) \[\left( \sqrt{13}-\sqrt{5} \right)\]units
Correct Answer: A
Solution :
| Given, School is at O(0, 0) and Malika's house is at P(4, 6) |
| \[\therefore\] Required distance = OP |
| \[=\sqrt{{{\left( 6-0 \right)}^{2}}+{{\left( 4-0 \right)}^{2}}}\] |
| \[=\sqrt{36+16}\] |
| \[=\sqrt{52}=2\sqrt{13}\] units |
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