MEDIUM
10th CBSE
IMPORTANT
Earn 100

 Assertion (A)  Reason (R)
 If two tangents are drawn to a circle from an external point then they subtend equal angles at the centre.  A parallelogram circumscribing a circle is a rhombus.

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Important Questions on Circles

HARD
10th CBSE
IMPORTANT
 Assertion (A)  Reason (R)

 In the given figure, a quad. ABCD is drawn to circumscribe a given circle, as shown.

Then, AB+BC=AD+DC

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 In two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.
MEDIUM
10th CBSE
IMPORTANT

In the given figure, O is the centre of a circle, PQ is chord and the tangent PT at P makes an angle of 50° with PQ. Then find the value of POQ.

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MEDIUM
10th CBSE
IMPORTANT
If the angle between two radii of a circle is 130° then the angle between the tangents at the ends of the radii is
HARD
10th CBSE
IMPORTANT

 If tangents PA and PB from a point P to a circle with centre O are drawn so that APS=80° then POA=

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MEDIUM
10th CBSE
IMPORTANT

In the given figure, AD and AE are the tangents to a circle with centre O and BC touches the circle at F. If AE=5 cm, then perimeter of ABC is

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MEDIUM
10th CBSE
IMPORTANT

In the given figure, a quadrilateral ABCD is drawn to circumscribe a circle such that its sides AB, BC, CD and AD touch the circle at P, Q, R and S respectively. If AB=x cm, BC=7 cm, CR=3 cm and AS=5 cm find the value of x.

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HARD
10th CBSE
IMPORTANT

In the given figure, PA and PB are the tangents to a circle with centre O. Show that the points A, O, B, P are concyclic.

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HARD
10th CBSE
IMPORTANT

In the given figure, PA and PB are two tangents from an external point P to a circle with centre O. If PBA=65° and the sum of  OAB and APB is k°, then find the value of k.

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