In the figure, AP and BP are tangents and ∠APB=80°, then ∠AOB is equal to

Two tangents drawn from an external point to a circle are

In the adjacent figure ∠ADB=50°, then ∠ACB is

In the figure, CP and CQ are tangents to a circle with centre O. AB is another tangent touching the circle at R. If CP=12cm, BC=7cm then the length of BR is

PQ is a tangent to a circle with centre O at the point P, if triangle OPQ is an isosceles triangle then ∠POQ is equal to

TA and TB are tangents to a circle from an external point T. If ∠ATB=60° then the triangle TAB is

The length of a tangent drawn from a point 8cm away from the centre of a circle of radius 6cm is

The angle between the tangent and a non-centric end of the radius is

The maximum number of parallel tangents a circle can have

The angle between two radii of a circle is 130°, then the angle between the tangents at their point of intersection (contact) is

PA is a tangent to a circle from a point P with centre O, if PA=4cm and OP=5cm then the radius OA is

In fig. PQ and PR are tangents drawn from P to a circle with centre O. If ∠OPQ=35°, then

In the given figure three tangents TP, TQ and AB are respectively drawn at a point P, Q and R to a circle. The semiperimeter of triangle TAB is equal to

If the radii of two concentric circles are 6cm and 10cm, then the length of each chord of one circle which is tangent to the other circle is

If O is the centre of a circle PQ is a chord and the tangent PR at P makes an angle of 50° with PQ then ∠POQ is equal to

A triangle ABC is drawn to circumscribe a circle. If AB=13cm, BC=14cm and AE=7cm then AC is equal to

In a given figure PQ and PR are tangents to the circle with centre O such that ∠QPR=70°, then ∠OQR is equal to

The distance between two parallel tangents in a circle of radius 3.5cm is

In the given figure AB is a chord of a circle and AC is its diameter such that ∠ACB=50°. If AT is the tangent to a circle at the point A, then ∠BAT is equal to

AT is a tangent to a circle at A with centre O from an external point T such that OT=8cm and ∠OTA=30°, the length of AT (in cm) is

In the fig. RQ is a tangent to the circle with centre O. If SQ=6cm, QR=4cm then OR is

In the figure. If TP and TQ are the two tangents to a circle with the centre ‘O’ so that ∠POQ=110°, then ∠PTQ is equal to

In figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4cm. If PA⊥PB, then the length of each tangent is

In the figure, PR=4cm and QR=3cm, then AB+CD is

In figure, PA and PB are tangents to the circle with centre O. If ∠APB=60°, then ∠OAB is

In the adjacent figure, AP=3cm and PC=8cm. then the length of tangent CD is

In the figure given below PA and PB are tangents to the circle drawn from an external point P. CD is a third tangent touching the circle at Q. If PA=10cm and DQ=2cm., then the length of PD is

In the given figure, AB is tangent to the circle at the point P on the circle. PQ is a chord. If ∠BPQ = 62° then ∠PRQ is

AP and BP are tangents to a circle. If ∠AOB = x°, the value of ∠APB