Advertisements
Advertisements
प्रश्न
In the following figure, seg AB is a diameter of the circle, m (arc AKC) = 40°. Find the value of m (arc BMC).
उत्तर
Seg AB is a diameter
⇒ M (arc ACB) =180° [Angle Made in Semi circle = 180°]
⇒ M (arc AKC) +m (arc BMC) = m (arc ACB) [Arc Addition
Property]
⇒ 40+ m (arc BMC) = 180°
⇒ M (arc BMC) = 180° -40°
⇒ M (arc BMC) =140°
APPEARS IN
संबंधित प्रश्न
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
In the given figure, PA and PB are tangents to the circle from an external point P. CD is another tangent touching the circle at Q. If PA = 12 cm, QC = QD = 3 cm, then find PC + PD
In the adjoining figure the radius of a circle with centre C is 6 cm, line AB is a tangent at A. Answer the following questions.
(1) What is the measure of ∠CAB ? Why ?
(2) What is the distance of point C from line AB? Why ?
(3) d(A,B) = 6 cm, find d(B,C).
(4) What is the measure of ∠ABC ? Why ?
Find the length of the tangent from a point which is at a distance of 5cm from the centre of the circle of radius 3cm.
In following fig., PT is tangent to the circle at T and CD is a diameter of the same circle. If PC= 3cm and PT= 6cm, find the radius of the circle.
In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find the length of tangent PT.
In the given figure, O is the centre of the circle. Tangents at A and B meet at C. If angle ACO = 30°, find: angle AOB
In figure, if ∠AOB = 125°, then ∠COD is equal to ______.
In figure, AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to ______.
In the figure, if PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then ∠OAB is equal to ______.
The distance between the centres of equal circles each of radius 3 cm is 10 cm. The length of a transverse tangent AB is ______
In Question 5 above, if radii of the two circles are equal, prove that AB = CD.
A tangent JK is drawn to a circle with centre C such that CK = 6 cm and ∠CKJ = 60°. Find the length of the tangent JK.
In the given figure, PQ is a tangent to the circle with centre O. If ∠OPQ = x, ∠POQ = y, then x + y is ______.
A circle of radius 5.2 cm has two tangents AB and CD parallel to each other. What is the distance between the two tangents?
In the given diagram RT is a tangent touching the circle at S. If ∠PST = 30° and ∠SPQ = 60°, then ∠PSQ is equal to ______.
In the given figure, QR is a common tangent to the two given circles touching externally at A. The tangent at A meets QR at P. If AP = 4.2 cm, then the length of QR is ______.
In the adjoining diagram, O is the centre of the circle and PT is a tangent. The value of x is ______.