Advertisements
Advertisements
प्रश्न
In the figure given below, PQ is a chord of a circle with centre O and PT is a tangent. If ∠QPT = 60°, find ∠PRQ.
उत्तर
m∠OPT 90º (radius is perpendicular to the tangent)
So, ∠OPQ = ∠OPT - ∠QPT
= 90º - 60º
= 30º
m∠POQ = 2m∠QPT = 2 x 60º = 120º
reflex m∠POQ = 360º - 120º= 240º
`/_PQR=1/2 "reflex"/_POQ`
`=1/2 xx 240^@`
`=120^@`
`m/_PRQ=120^@`
APPEARS IN
संबंधित प्रश्न
In Fig. 1, AOB is a diameter of a circle with centre O and AC is a tangent to the circle at A. If ∠BOC = 130°, the find ∠ACO.
From a point Q, 13 cm away from the centre of a circle, the length of tangent PQ to the circle is 12 cm. The radius of the circle (in cm) is
What is the distance between two parallel tangents of a circle having radius 4.5 cm ? Justify your answer.
A chord of a length 16.8 cm is at a distance of 11.2 cm from the centre of a circle . Find the length of the chord of the same circle which is at a distance of 8.4 cm from the centre.
In the following figure, seg AB is a diameter of the circle, m (arc AKC) = 40°. Find the value of m (arc BMC).
In figure, if ∠AOB = 125°, then ∠COD is equal to ______.
ABCD is a cyclic quadrilateral PQ is a tangent at B. If ∠DBQ = 65°, then ∠BCD is ______
Construct a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.
ΔABC circumscribes a circle of radius r such that ∠B = 90°. If AB = 3 cm and BC = 4 cm, then find the value of r.
In the given figure, AB and AC are tangents to the circle. If ∠ABC = 42°, then the measure of ∠BAC is ______.
