Question
In the given figure, Ab = 30 cm and CD = 24
In the given figure, Ab = 30 cm and CD = 24
cm. What is the value (in cm) of MN?
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 = 18More Geometry Questions
- The 2nd approximation to a root of the equation x2-x-1-0 in the interval (1, 2) by Bisection method will be:
- The radius of a circle is 10 cm, and the length of the chord is 12 cm. Find the distance between the chord and the centre of the circle.
- AB and AC are two Chords of a circle with centre O. M and N are the mid points of the chords respectively. The line OM and ON are extended which intersects...
- Find the difference between angle and its complement if the angle is five-thirteenth of its complement.
- If two complementary angles are in the ratio of 7:2, find the greater angle.
- If in a right angle triangle ABC, Angle B is a right angle. AB = 20 cm, BC= 21 cm if BD is perpendicular to AC find the length of BD?
- If in a ΔABC, D is a point on BC such that BD = 1cm , BC = 3 cm then what is ratio of area of ΔABD to area of ΔADC ?
- If angle between two sides of 3 cm & 2 cm of a triangle is 30°. what is the area of the triangle ?
- In ΔABC, PQ is parallel to BC If AP: PB= 2:5 and AQ= 2 cm, AC is equal to?
- The length of the each side of an equilateral triangle is 10.5 cm. The area of incircle, (cm 2 ) is
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)