Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is
50°
60°
80°
80°
The radii of two concentric circles are 17cm and 25 cm. A straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R. If QR = 16cm, then the length (in cm.) of PS is
41
32
33
33
A is the centre of a circle whose radius is 8 and B is the centre of a circle whose diameter is 8. If these two two circles touch externally, then the area of the circle with diameter AB is
Two chords of lengths a metre and b metre subtend angles 60° and 90° at the centre of the circle respectively, which of the following is true?
a = √2 b
b = √2 a
a = 2b
b = 2a
Two chords AB and CD of a circle with centre O. Intersect each other at P. If ∠AOD = 100° and ∠BOC = 70°, then the value of ∠APC is
80°
75°
85°
85°
If two concentric circles are of radii 5cm and 3cm, then the length of the chord of the larger circle which touches the smaller circle is
6 cm
7 cm
10 cm
10 cm
Let C be a point on a straight line AB. Circles are drawn with diameters AC and AB. Let P be any point on the circumference of the circle with diameter AB. If AP meets the other circle at Q, then
QC || PB
QC is never parallel to PB
IF I is the incentre of ΔABC and , then ΔABC is
acute angled
equilateral
right angled
right angled
If the length of a chord of a circle at a distance of 12cm from the centre is 10 cm, then the diameter of the circle is
13 cm
15 cm
26 cm
26 cm
If O is the circumcentre of ΔABC and , then the is equal to
55°
110°
70°
70°
A.
55°