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The distance of a point $P(x,y)$ from the origin is
A$x+y$
B$x^2+y^2$
C$\sqrt{x+y}$
D$\sqrt{x^2+y^2}$
Answer & Solution
Correct answer: D. $\sqrt{x^2+y^2}$
1. The origin is $O(0,0)$.
2. Using the distance formula: $OP=\sqrt{(x-0)^2+(y-0)^2}=\sqrt{x^2+y^2}$.
3. So the distance from the origin is $\sqrt{x^2+y^2}$.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch7 'Coordinate Geometry', §7.2_
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