Question
Let C be a circle with centre O and P be an external
point to C. Let PA and PB be two tangents to C with A and B being the points of tangency, respectively. If PA and PB are inclined to each other at an angle of 60°, then find∠POA.Solution
Let C be a circle with center O and P be an external point. PA and PB are tangents from P to the circle, with A and B being the points of tangency. The angle between the tangents PA & PB is given as 60°. The angle between the radii OA and OB (subtended by the tangents at the center) is 2 x the angle between the tangents, So, angle AOB = 2 x 60° = 120°. The angle POA (half of angle AOB) is 60°, as the tangents subtend equal angles at the center.
Statement:
Only a few Boat are Noise.
Only a few Noise are Bose.
Conclusion:
I. Som...
Statements:
No contract is a bond.
Some bonds are agreements.
All agreements are collaborations.
Some collaboratio...
- In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if they ...
Statements:
Some rivers are oceans.
All oceans are beaches.
Conclusions:
I. Some rivers are beaches.
II. All ocea...
Statements: Some chairs are table.
All tables are window.
Conclusions: I. All table are chair.
...
In the question three statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it see...
In the questions given below, there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be...
Statements :All blues are whites.
Some whites are reds.
All yellows are reds.
Conclusions :I. Some reds are whites.
II. Some yellows are whites.
Read the given statements and conclusion carefully. Assuming the information given in the statement is true, even if it appears to be at variance with...
Statements:Some lion are tiger.
Some tiger are dog.
No dog i...
Relevant for Exams:
