Line Segment That Subtends Equal Angles at Two Other Points
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In the given figure, PQ = QR, ∠RQP=68∘, PC and CQ are tangents to the circle with center O. Calculate the values of:
(i) ∠QOP
(ii) ∠QCP [4 MARKS]
Prove that two different circles cannot intersect each other at more than two points.
are three points on a circle. Prove that the perpendicular bisectors of are concurrent.
is the Circumcenter of the triangle and is the mid-point of the base . Prove that .
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/27067/content_32.png)
- 30∘
- 35∘
- 25∘
- 20∘
In the adjoining figure. POQ is the diameter of the circle. R and S are any two points on the circle. Then,
∠PRQ > ∠PSQ
-
∠PRQ < ∠PSQ
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∠PRQ = ∠PSQ
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∠PRQ =1/2 ∠PSQ
In figure, ∠PSR=100∘, where P, Q and R are points on a circle with centre O.Find ∠OPR (in degrees).
A, B, C, D are 4 non collinear points in a plane such that ∠ACB =∠ADB , then how many circle(s) can be drawn passing through all 4 points.
- 0
- 1
- 2
- 3
x + y + 1 = 0 , 3x +y - 5 = 0 and 2x + y - 5 = 0 z
A, B, C, D are 4 non collinear points in a plane such that ∠ACB = ∠ADB, then how many circle(s) can be drawn passing through all 4 points?
0
1
2
3
If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.
![1795129_5775cb7058d54e2c8abf95217c9176aa.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/1795129_5775cb7058d54e2c8abf95217c9176aa.png)
![1599543_81874ebcdd20447e98ecf28ad3038ac8.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/1599543_81874ebcdd20447e98ecf28ad3038ac8.png)
ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. Prove that P, Q, C, and D are concyclic.
- parallelogram
- square
- rhombus
- trapezium
Calculate the measure of ∠ACB
![1058553_0de4af19957241bb8d17f21a556285ee.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1058553_0de4af19957241bb8d17f21a556285ee.png)
![377039_fd925d56f0e14e738d8e993ca1891cca.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/377039_fd925d56f0e14e738d8e993ca1891cca.png)
- 40∘
- 50∘
- 65∘
- 60∘