Question
In the given figure, Ab = 30 cm and CD = 24 cm. What is
the value (in cm) of MN?Solution
If we draw a perpendicular to a chord of any circle, the per divide the chord in two equal part. CD is chord for small circle and AB is chord for bigger circle.  r = small circle radius  R = bigger circle radius Apply PGT in ∆ OTC x2 = (x)2 – (12)2 ---- (1) Apply PGT in ∆ OAP x2 = (R)2 – (15)2 ------(2) From  (1) and (2) R2 – (15)2 = r2 – (12)2 R2 – r2 = 225 – 114 = 81 Apply PGT in ∆ OTM R2 – r2 = TM2 81 = TM2 TM = 9 We know OT divide chord MN in 2 equal part (TM = TN) MN = TM + TN MN = 9 + 9 = 18
In which sport is the term 'Dolphin Kick' commonly used?
Which of the following river is not started from western India?
What is the minimum net-owned fund requirement for an NBFC?
Recently Parliament passes bill to raise Nabard’s capital to Rs _____.
As of 2020, which country has the largest proven coal reserves in the world?
In the light of the revealed preference theory, consider the following options and select the right answer from the codes given below.
a. Rationa...
A train crosses two platforms of length 1000 m and 600 m in 80 seconds and 60 seconds, respectively. What is the length of the train?
Each of the following questions consists of a word printed in capital letters, followed by four words or phrases. Choose the word or phrase that is most...
The festival 'Jude Sheetal' is celebrated in which Indian state?
India is investing $82 billion in foreign ports by 2035. Which of these is NOT included?
Relevant for Exams:
