हिंदी

The length of tangent from an external point P on a circle with centre O is always less than OP. - Mathematics

Advertisements
Advertisements

प्रश्न

The length of tangent from an external point P on a circle with centre O is always less than OP.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is True.

Explanation:


PT is a tangent drawn from external point P.

Join OT.

∵ OT ⊥ PT

So, OPT is a right-angled triangle formed.

In right-angled triangle, hypotenuse is always greater than any two of the two sides of the triangle.

∴ OP > PT

or PT < OP

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Circles - Exercise 9.2 [पृष्ठ १०५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
अध्याय 9 Circles
Exercise 9.2 | Q 3 | पृष्ठ १०५

संबंधित प्रश्न

In the following Fig, 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.


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 ______.


Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.


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 intersecting XY at A and X’Y’ at B. Prove that ∠AOB = 90°


In Fig. 2, from a point P, two tangents PT and PS are drawn to a circle with centre O such that ∠SPT = 120°, Prove that OP = 2PS ?


In the following figure, Q is the centre of a circle and PM, PN are tangent segments to the circle. If ∠MPN = 60°, find ∠MQN.


If two tangents inclined at an angle of 60° are drawn to a circle of radius 3 cm the length of each tangent is equal to ______


In the given figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 6 cm then the length of BR is ______


The length of the tangent from an external point P on a circle with centre O is ______ 


In the given figure, BC is tangent to the circle at point B of circle centred at O. BD is a chord of the circle so that ∠BAD = 55°. Find m∠DBC.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×