Madhya Pradesh Police Exam Model Paper 4

According to the given question
Given:
Radius of circle = 10 cm
Distance from centre = 8 cm
Formula used:
Line perpendicular to the chord passes through the centre divide the chord into two equal areas
According to Pythagoras theorem the sum of square of two sides is equal to the square of longest side
Calculation:
Let the length of chord is ABAccording to Pythagoras theorem in triangle AOC
$\therefore {\left(10\right)}^2={\left(8\right)}^2+\mathit{A}{\mathit{C}}^2$
$\Rightarrow \mathit{A}{\mathit{C}}^2={\left(10\right)}^2-{\left(8\right)}^2$
$\Rightarrow \mathit{A}\mathit{C}=6$
Now, length of chord is AB = AC + BC and OC divide the chord in two equal parts
So, the length of chord is 12 cm
Hence, option (2) is correct