Home
Class 10
MATHS
Two concentric circles with centre O are...

Two concentric circles with centre O are of radius 3 cm and 5 cm. From an external point P, two tangents PB and PA are drawn to these circles respectively. If `PA=12`cm, find PB.

Text Solution

Verified by Experts

The correct Answer is:
`PB=4 sqrt(10)cm`.
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( SHORT ANSWER [SA] TYPE 1 - QUESTIONS)|16 Videos
  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( SHORT ANSWER [SA] TYPE - 2 - QUESTIONS)|13 Videos
  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (MCQs)|1 Videos
  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (HOTS [HIGHER ORDER THINKING SKILLS] - QUESTIONS)|4 Videos
  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS [HOTS] QUESTIONS|14 Videos

Similar Questions

Explore conceptually related problems

From an external point P, tangents PA and PB are drawn to a circle with centre O. If |__PAB=50^(@) , find |__AOB .

In the given figure, from an external point P, two tangents PT and PS are drawn to the circle with centre O and radius r. If PO=2r , show that |__OTS= |__OST=30^(@) .

In the given figure, there are two concentric circles of radii 6 cm and 4 cm with centre O. If AP is a tangent to the larger circle and BP to the smaller circle and the length of AP=8cm , find BP

Two concentric circle of radii 5 cm and 3cm are drawn. Find the length of the chord of the larger circle which touches the smaller circles.

Two concentric circles of radii 5cm and 3cm are drawn. Find the length of the chord of the larger circle which touches the smaller circle.

Draw a circle of radius 3cms. Construct a pair of tangents to it, from a point 5cm away from the circle.

With the same centre O, draw two circles of radii 4 cm and 2.5 cm.

Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that |__PTQ = 2 |__OPQ .

Draw a circle of radius 3 cm. From a point P, 7 cm away from its centre, draw two tangents to the circle. Measure the length of each tangent.

Two circles of radius 25 cm and 9 cm touch each other externally. Find the length of the direct common tangent.