shaalaa.com
S

Solution - Number of Tangents from a Point on a Circle

Account
User


Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty
ConceptNumber of Tangents from a Point on a Circle  

Question

Prove that “The lengths of the two tangent segments to a circle drawn from an external point are equal.”

Solution

You need to to view the solution
Is there an error in this question or solution?

Question appears in these question papers

Similar questions

If tangents PA and PB from a point P to a circle with centre O are inclined to each other an angle of 80, then ∠POA is equal to

(A) 50 

(B) 60

(C) 70 

(D) 80

view solution

In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with centre O, in such a way that the sides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that AB + CD = BC + DA.

view solution

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segments joining the pointsof contact to the centre.

view solution

If from an external point P of a circle with centre O, two tangents PQ and PR are drawn such that ∠QPR = 120°, prove that 2PQ = PO.

view solution

In the given figure, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110, then ∠PTQ is equal to

(A) 60 

(B) 70

(C) 80 

(D) 90

view solution
S