Question
A circle with centre 'O' has a radius of 39
A circle with centre 'O' has a radius of 39
cm. If the length of cord PQ is 72 cm, then find OA:OP, given that PA:PQ = 1:2 and the points 'P', 'A' and 'Q' are collinea
In right triangle AOP, OP = 39 cm Also, (PA/PQ) = (1/2) Or, (PA/72) = (1/2) So, PA = 36 cm We know that the perpendicular drawn through the circle bisects the chord. So, ∠ PAO = ∠ PAQ = 90o So, OA2 = OP2 - PA2 {Using Pythagoras theorem} Or, OA = √(1521 - 1296) = 15 cm So, required ratio = 15:39 = 5:13More Geometry Questions
- ∆ABC and ∆DEF are similar and their areas are respectively 121 cm2 and 144 cm 2 . If EF = 24 cm BC is?
- Which of the following statements are true about the circumference and diameter of a circle?
- 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?
- What will be inradius of an equilateral triangle of side 2 cm?
- In the given figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circl...
- The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circumcircle at E. If DE = 6cm, AC = 8cm and AD = 10 cm, then find the length of AB?
- The area of a field in the shape of a hexagon is 2400 √ 3 m2 ? What will be the cost of fencing it at ₹18.50 per metre?
- Find area of a sector of radius 14 cm with central angle 90°. (π = 22/7)
- One of the angles of a quadrilateral is 80º. If ratio of remaining angles of quadrilateral is 6:3:5 respectively, then find the smallest angle of quadrilat...
- In a circle, the chord AB is 12 cm, and the perpendicular from the center O to the chord AB bisects it at point P. If OP = 5 cm, what is the radius of the ...
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)