|
In any ∆ ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect
|
|
1
|
901
|
April 9, 2019
|
|
Prove that BP = BQ
|
|
1
|
445
|
April 9, 2019
|
|
Bisectors of angles A, B and C of a ∆ABC intersect its circumcircle at D, E and F
|
|
1
|
433
|
April 9, 2019
|
|
AC and BD are chords of a circle which bisect each other
|
|
1
|
1225
|
April 9, 2019
|
|
The circle through A, B and C intersect CD at E. Prove that AE = AD
|
|
1
|
875
|
April 9, 2019
|
|
Prove that the circle drawn with any side of a rhombus as diameter
|
|
1
|
1011
|
April 9, 2019
|
|
Prove that ∠ABC is equal to half the difference of the angles subtended by the chords
|
|
1
|
460
|
April 9, 2019
|
|
What is the distance of the other chord from the centre?
|
|
1
|
401
|
April 9, 2019
|
|
Find the radius of the circle
|
|
1
|
355
|
April 9, 2019
|
|
Prove that the line of centres of two intersecting circles subtends equal angles
|
|
1
|
1055
|
April 9, 2019
|
|
Prove that a cyclic parallelogram is a rectangle
|
|
1
|
2378
|
April 9, 2019
|
|
Prove that ∠CAD = ∠CBD
|
|
1
|
930
|
April 9, 2019
|
|
Prove that the point of intersection of these circles lie on the third side
|
|
1
|
750
|
April 9, 2019
|
|
Prove that ∠ ACP = ∠QCD
|
|
1
|
473
|
April 9, 2019
|
|
If the non-parallel sides of a trapezium are equal, prove that it is cyclic
|
|
1
|
1617
|
April 9, 2019
|
|
If diagonals of a cyclic quadrilateral are diameters of the circle
|
|
1
|
1448
|
April 9, 2019
|
|
ABCD is a cyclic quadrilateral whose diagonals intersect at a point E
|
|
1
|
2034
|
April 9, 2019
|
|
AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠BAC
|
|
1
|
479
|
April 9, 2019
|
|
In figure, ∠ABC = 69°,∠ACB = 31°, find ∠BDC
|
|
1
|
2513
|
April 9, 2019
|
|
In figure, ∠PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠OPR
|
|
1
|
2054
|
April 9, 2019
|
|
Find the angle subtended by the chord at a point on the minor arc
|
|
1
|
1451
|
April 9, 2019
|
|
If D is a point on the circle other than the arc ABC, find ∠ ADC
|
|
1
|
391
|
April 9, 2019
|
|
Find the length of the string of each phone
|
|
1
|
1386
|
April 9, 2019
|
|
Three girls are playing a game by standing on a circle of radius 5m drawn in a park
|
|
1
|
1526
|
April 9, 2019
|
|
Prove that AB = CD
|
|
1
|
1084
|
April 9, 2019
|
|
Prove that the line joining the point of intersection to the centre
|
|
1
|
704
|
April 9, 2019
|
|
If two equal chords of a circle intersect within the circle
|
|
1
|
737
|
April 9, 2019
|
|
Find the length of the common chord
|
|
1
|
545
|
April 9, 2019
|
|
Suppose you are given a circle. Give a construction to find its centre
|
|
1
|
1206
|
April 9, 2019
|
|
Draw different pairs of circles
|
|
1
|
1172
|
April 9, 2019
|