Question
AB and CD are parallel tangents to a circle with center
O. Points P and Q are on AB and CD, respectively, such that PQ touches the circle at R. Find the measure of ∠EOP.Solution
Since PQ is tangent to the circle at R, PO bisects the angles at ∠EOR. Thus, EOP = POR = θ 1 (let) QO bisects the angle at FOR. Thus, FOQ = QOR = θ ₂ (let) Since AB and CD are parallel tangents to the circle, EF must be a straight line. Thus, from the diagram, ∠EOP + POR + FOQ + QOR = 180° 2 ( θ 1 + θ 2 ) = 180° ( θ 1 + θ 2 ) = 90° ∠EOP = 90°
The EWS quota remain a controversy as its critics says it reduces the size of the open category, besides breaching the 50% limit on the total reservatio...
What does the data from the National Health Profile 2017 show?
Choose the word which is the most opposite in meaning to the word ‘vested’ as used in the passage.
Which of the following is a synonym of the word ‘driven’?
Which of the following statements is true according to the passage?
Which of the following is the theme of the passage?
- "This shift has resulted in a significant number of users forwarding unverified information."
This statement is: Why were all the judges who revolted, were upset with the CJI?
Choose the sentence/s that is/are not true as per the passage.
I. Before British colonization in the late 18th century, villagers owned the vi...
Which of the following statements is definitely false according to the passage ?
Relevant for Exams:
