Question
In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠ QPR = 45 0 , then what is the value (in degrees) of ∠ QOR ?
We draw line OL and OM which will be Ʇ (by tangent) We draw another line OP which bisect angle P ON will be at 900 by tangent prop Angle ∠ L = ∠ N = 900 ∆ OLQ and ∆ OQN are similar (OQ common) ∠ OQL and ∠ OQN will be equal ∠ Q = 67.50 ∠ OQL =∠ OQN = 112.5/2 = 56.250 ∠ QON = 33.750 , same for ∠ RON= 33.750 ∠ QOR = 67.5More Geometry Questions
- If I is the incentre of ΔABC , if ∠ BIC = 105.50 , then what is the measure of ∠ BAC?
- What will be inradius of a right angle triangle whose base is 12 cm & height is 35 cm ?
- ABCD is a cyclic quadrilateral, such that ratio of measures ∠A, ∠B and ∠C is 1 : 4 : 5, then the measure of ∠D is?
- If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 6cm, BC = 9cm then what is BD:CD?
- 10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of...
- If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 60 cm² , then the area of ∆EFG is?
- Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is
- A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?
- MN is a diameter of a circle with centre O. The tangent at 'P' meets MN produced at 'Q'. If ∠PMN = 44 ° , then find ∠PNQ.
- AC and CE are the medians of triangle ABD and ACD respectively. If area of triangle ACE is 15 cm 2 , then find the area of triangle ABD.
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
