Instructions

Directions for the following three questions: Answer the questions on the basis of the information given below

In the adjoining figure I and II are circles with centres P and Q respectively, The two circles touch each other and have common tangent that touches them at points R and S respectively. This common tangent meets the line joining P and Q at O. The diameters of I and II are in the ratio 4: 3. It is also known that the length of PO is 28 cm.

Question 3

The length of SO is

[CAT 2004]

Solution

Triangles PRO and QSO are similar.

PR/QS = 4/3.

Therefore, PO/QO = 4/3 =>

Let the radius of 2 circles be 4R and 3R respectively.

28/(28-7R) = 4/3

4-R = 3

R = 1

Therefore, SO = $$\sqrt{21^2 - 3^2}$$ = $$\sqrt{432}$$ = $$12 \sqrt{3}$$ cm

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
35+ CAT previous papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Probability, Combinatorics Questions CAT Remainders Questions CAT Venn Diagrams Questions CAT Inequalities Questions CAT Time Speed Distance Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based DI Questions CAT DI Miscellaneous Questions CAT Quant Based LR Questions CAT Arrangement Questions CAT DI with connected data sets Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Miscellaneous Questions CAT Grammar and Sentence Correction Questions CAT Critical Reasoning Questions CAT Vocabulary Questions CAT Verbal Ability Questions

CAT 2004 QA Question

The length of SO is [CAT 2004]

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free Quant Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account

The length of SO is

[CAT 2004]