SSC CHSL 2020 PYQ — Question 74

SSC CHSL - 15th October 2020 - Shift 1 • Quantitative Aptitude • Q74

In a circle, two equal and parallel chords are 6 cm apart and they lie on the opposite sides of the centre of the circle, whose radius is 5 cm. The length of each chord (in cm), is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 8

Understanding

Tricks

Application

According to figure

Here 

XY is the diameter (10cm)

AB and CD are chord and distance between them = 6cm

So

Remaining distance of OZ = 3cm

Now

in ΔOZD

ZD2 = 52 - 32

ZD2 = 25 - 9

ZD2 = 16

ZD = 4

Hence

Length of the chord = 8cm