Intersection between Tangent and Secant
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In the figure given below, AR is a tangent to the circle. AM is the secant. Find the length of PM, if AR = 6 cm and AP = 2 cm.
[2 Marks]
In the above given figure, PB = 9 cm, CP = 4 cm and TP is a tangent at T. Find PT.
2 cm
6 cm
9 cm
8 cm
In the figure given below, AR is a tangent to the circle. AM is the secant. Find the length of PM, if AR = 6 cm and AP = 2 cm.
16 cm
9 cm
8 cm
4 cm
In the figure given below, PAB is a secant and PR is a tangent to the circle. If PA : AB = 1 : 8, and PR = 15 cm, find the length of PB.
10 cm
20 cm
45 cm
90 cm
△ABC is isosceles with AB = AC. If a circle through B touches the side AC at its mid-point D and intersects the side AB at P, then APAB =
13
41
14
34
In the given figure, PT touches a circle whose centre is O at R. Diameter SQ produced meets PT at P. If ∠SPR=x∘ and ∠QRP=ycirc, then which of the following statements relate x and y?
x+2y=90∘
x+y=90∘
x+2y=45∘
x=2y
In the given figure, PA is tangent to the circle. If PC intersects the circle at B and PB = 9 cm and BC =7cm, PA =
18 cm
12 cm
16 cm
10 cm
In the given figure O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC =7.5 cm, find the radius of the circle.
22.5 cm
12.5 cm
11.25 cm
11 cm
In the given figure, AB is a diameter and AC is a chord of the circle and the tangent at C intersects AB produced in D. If ∠BAC=30∘, then ∠ACD=
60∘
30∘
100∘
120∘
In the given figure chord AB extended meets tangent DC at C. If AB = 7cm and BC =9 cm and area of △CBD=18cm2,
then area of △CAD=
16 cm2
24 cm2
32 cm2
64 cm2