EASY
10th CBSE
IMPORTANT
Earn 100

The angle between two tangents to a circle may be 0°.

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Important Questions on Circles

MEDIUM
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 9 - Circles>Exercise>Q 5
If angle between two tangents drawn from a point P to a circle of radius a and centre O is 90°, then OP=a2.
MEDIUM
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 9 - Circles>Exercise>Q 6
If angle between two tangents drawn from a point P to a circle of radius a and center O is 60°, then OP=a3.
MEDIUM
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 9 - Circles>Exercise>Q 7
The tangent to the circumcircle of an isosceles ∆ABC at A, in which AB=AC, is parallel to BC.
MEDIUM
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 9 - Circles>Exercise>Q 8
If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ.
EASY
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 9 - Circles>Exercise>Q 9
If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.
MEDIUM
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 9 - Circles>Exercise>Q 10
AB is a diameter of a circle and AC is its chord such that ∠BAC=30°. If the tangent at C intersects AB extended at D, then BC=BD. 
MEDIUM
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 9 - Circles>Exercise>Q 1
Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. Find the radius of the inner circle.
MEDIUM
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 9 - Circles>Exercise>Q 2

Two tangents PQ and PR are drawn from an external point to a circle with centre O. Prove that QORP is a cyclic quadrilateral.