# In a circle of radius #'r'#, chords of lengths #a# and #b# cms, subtend angles #q# and #3q# respectively at the centre, then #r = asqrt(a/(2a-b))# cm. True or False?

The given relation is false

We know that perpendicular dropped from the centre of the circle to a chord bisects the chord and the angle subtended by the chord at the centre of the circle.

So here we have

If

By the problem

When

We get

Again when

We get

Dividing (2) by (1) we get

Hence the given relation is false

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True.

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