CAT 2018 Quant Questions

Question:
In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is

\(\sqrt {12} \)
\(\sqrt {14} \)
\(\sqrt {13} \)
\(\sqrt {11} \)
Show Answer
Correct Answer: 3

Let the 6 cm long chord be x cm away from the centre of the circle. Let the radius of the circle be r cm.

The perpendiculars from the centre of the circle to the chords bisect the chords.

$r^{2}=x^{2}+3^{2}=(x+1)^{2}+2^{2}$

Solving, $x=2$ and $r=\sqrt{13}$


Get one day FREE Trial of CAT online Full course FREE Registration
Also Check: 841+ CAT Quant Questions with Solutions


CAT Quant Online Course


  • 1000+ Practice Problems
  • Detailed Theory of Every Topics
  • Online Live Sessions for Doubt Clearing
  • All Problems with Video Solutions
₹ 2999

CAT 2018 Questions Paper with Solution PDF Download


CAT 2018 Quant Questions with Solutions

CAT 2018 Slot-1


CAT 2018 Slot-2


Back to Main Page


CAT 2018 Quant Questions
4.9 (97%) 20 vote[s]