Circles (10)
Tangent to a Circle, Number of Tangents from a Point on a Circle.
Two concentric circles with centre O are of radii 3 cm and 5 cm
Two concentric circles with centre O are of radii 3 cm and 5 cm. Find the length of chord AB of the larger circle which touches the smaller
...Prove that the lengths of tangents drawn from an external point to a circle are equal
Prove that the lengths of tangents drawn from an external point to a circle are equal.
In the adjoining figure, PT is a tangent at T to the circle with centre O. If $ \angle TPO = 30^o $, find the value of x
In the adjoining figure, PT is a tangent at T to the circle with centre O. If $ \angle TPO= 30^o $, find the value of x.
Assertion (A): A tangent to a circle is perpendicular to the radius through the point of contact
Assertion (A): A tangent to a circle is perpendicular to the radius through the point of contact.
Reason (R): The lengths of tangents
...The length of the tangent from an external point A to a circle
The length of the tangent from an external point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle
...How many tangents can be drawn to a circle from a point on it
How many tangents can be drawn to a circle from a point on it ?
...The length of the arc of a circle of radius 14 cm which subtends an angle of
The length of the arc of a circle of radius 14 cm which subtends an angle of 60° at the centre of the circle is
...In the given figure, XY and X'Y'are two parallel tangents to a circle with centre O
In the given figure, XY and X'Y'are two parallel tangents to a circle with centre O and another tangent AB with point of contact C, is
...A circle touches all the four sides of a quadrilateral ABCD. Prove that AB + CD = BC + DA
A circle touches all the four sides of a quadrilateral ABCD. Prove that AB + CD = BC + DA.
Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord
Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.
If the angle between two tangents drawn from an external point P to a circle of radius a and centre O
If the angle between two tangents drawn from an external point P to a circle of radius a and centre O, is 60o, then find the length of
...PQ and RS are two parallel tangents to a circle with centre O
PQ and RS are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting PQ at A and RS at B.
...