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Title: Extra Questions - Chapter(CIRCLE)
Description: 32 Questions from the chapter Circles - Math , Class 10

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CIRCLES
1
...
If
∠AOB = 100°, then calculate ∠BAT
...
In the given figure, PA and PB are tangents to the circle with centre O
...


3
...
If AB is a
diameter and ∠CAB = 30°
...


4
...
Then calculate ∠BOC
...
In the given figure, a circle touches the side DF of AEDF at H and touches ED and EF
produced at K&M respectively
...


6
...
If AB = 5 cm, AC = 6 cm
and BC = 4 cm, then calculate the length of AP (in cm)
...
In the given figure, PA and PB are tangents to the circle with centre O such that ∠APB =
50°
...
From an external point P, tangents PA and PB are drawn to a circle with centre 0
...


9
...
If ∠QPT =
60°, find ∠PRQ
...
In the given figure, the sides AB, BC and CA of a triangle ABC touch a circle at P, Q and
R respectively
...


11
...
Calculate the
radius of the circle inscribed in the triangle (in cm
12
...

13
...
If the radius DA of the circle is 10 cm, BC
= 38 cm, PB = 27 cm and AD ⊥ CD, then calculate the length of CD

14
...
If ∠AOQ =
58°, find ∠ATQ
...
Two concentric circles are of radii 7 cm and r cm respectively, where r > 7
...
Find the value of r
...
In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose
sides are AB = 6 cm, BC = 9 cm and CD = 8 cm
...


17
...
If AB = 12 cm, BC = 8 cm and AC = 10 cm, then find the lengths
of AD, BE and CF
...
In the figure, a ∆ABC is drawn to circumscribe a circle of radius 3 cm, such that the
segments BD and DC are respectively 6 cm 9 cm of lengths 6 cm and 9 cm
...


19
...
If the lengths of sides AB, BC, and CA are 12 cm,

8 cm and 10 cm respectively, find the lengths of AD, BE and CF
...
In Figure, common tangents AB and CD to the two circles with lo, centres O1 and
O2 intersect at E
...


21
...

22
...
If ∠PRQ = 120°, then prove that OR = PR +Q R
...
In the figure, AP and BP are tangents to a circle with centre 0, such that AP = 5 cm and
∠APB = 60°
...
In the figure, from an external point P, two tangents PT and PS are drawn to a circle with
centre O and radius r
...


25
...
CD is
another tangent touching the circle at Question If PA = 12 cm, QC = QD = 3 cm, then
find PC + PD
...
n the figure, two circles touch each other at the point C
...



Title: Extra Questions - Chapter(CIRCLE)
Description: 32 Questions from the chapter Circles - Math , Class 10