Advertisements
Advertisements
प्रश्न
In the following figure, O is the centre of the circle. Find the value of a, b, c and d.
उत्तर
Here, ∠BAD = 90° (Angle in a semicircle)
∴ ∠BDA = 90° – 35° = 55°
Again, a = ∠ACB = ∠BDA = 55°
(Angle subtended by the same chord on the circle are equal)
APPEARS IN
संबंधित प्रश्न
In the following figure, O is the centre of the circle. Find the values of a, b and c.
In the following figure, O is the centre of the circle. Find the values of a, b, c and d.
Calculate:
- ∠CDB,
- ∠ABC,
- ∠ACB.
In the given figure, I is the incentre of ΔABC. BI when produced meets the circumcircle of ΔABC at D. ∠BAC = 55° and ∠ACB = 65°; calculate:
- ∠DCA,
- ∠DAC,
- ∠DCI,
- ∠AIC.
In following fig., chords PQ and RS of a circle intersect at T. If RS = 18cm, ST = 6cm and PT = 18cm, find the length of TQ.
In the figure, chords AE and BC intersect each other at point D. If AD = BD, show that AE = BC.
The line joining the midpoints of two chords of a circle passes through its center.
Prove that the chords are parallel.
Given two equal chords AB and CD of a circle with center O, intersecting each other at point P.
Prove that:
(i) AP = CP
(ii) BP = DP
Two chords AB, CD of lengths 16 cm and 30 cm, are parallel. If the distance between AB and CD is 23 cm. Find the radius of the circle.
In the diagram given alongside, AC is the diameter of the circle, with centre O. CD and BE are parallel. ∠ AOB = 80° and ∠ ACE = 10°. Calculate: (i) ∠ BEC (ii) ∠ BCD (iii) ∠ CED.