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PROBABILITY — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPROBABILITY1 Mark
MCQ
If (a, b) lies on circle with centre as origin, then its radius will be:​​​​​​​
  • A
    $\text{a} - \text{ b}$
  • B
    $\text{a + b}$
  • ✓
    $\sqrt{\text{a}^2+\text{b}^2}$
  • D
    $\text{a}^2+\text{b}^2$
✓

Answer

Correct option: C.
$\sqrt{\text{a}^2+\text{b}^2}$
  1. $\sqrt{\text{a}^2+\text{b}^2}$
Solution:
We know the formula,
The equation of a circle of radius r and centre the origin is
$x^2+y^2=r^2$
Here the center is (a, b)
so Radius, $\text{r} = \sqrt{\text{a}^{2} + \text{b}^{2}}$

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