मराठी

The Radius of a Circle is 8 Cm. Calculate the Length of a Tangent Draw to this Circle from a Point at a Distance of 10 Cm from Its Centre. - Mathematics

Advertisements
Advertisements

प्रश्न

The radius of a circle is 8 cm. calculate the length of a tangent draw to this circle from a point at a distance of 10 cm from its centre.

बेरीज

उत्तर

 
OP = 10 cm; radius OT = 8 cm

∵ OT ⊥ PT 

In right ΔOTP, 

OP2 = OT2 + PT2

102 = 82 + PT2

PT2 = 100 – 64

PT2 = 36

PT = 6

Length of tangent = 6 cm.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 18: Tangents and Intersecting Chords - Exercise 18 (A) [पृष्ठ २७४]

APPEARS IN

सेलिना Mathematics [English] Class 10 ICSE
पाठ 18 Tangents and Intersecting Chords
Exercise 18 (A) | Q 1 | पृष्ठ २७४

संबंधित प्रश्‍न

Two circle touch each other externally at point P. Q is a point on the common tangent through P. Prove that the tangents QA and QB are equal.


In a triangle ABC, the incircle (centre O) touches BC, CA and AB at points P, Q and R respectively. Calculate : 

  1. ∠QOR
  2. ∠QPR;

given that ∠A = 60°.


In the given figure, PT touches the circle with centre O at point R. Diameter SQ is produced to meet the tangent TR at P. Given ∠SPR = x° and ∠QRP = y°;

Prove that:

  1. ∠ORS = y°
  2. write an expression connecting x and y.


In the given figure, O is the centre of the circumcircle ABC. Tangents at A and C intersect at P. Given angle AOB = 140° and angle APC = 80°; find the angle BAC.


Circles with centres P and Q intersect at points A and B as shown in the figure. CBD is a line segment and EBM is tangent to the circle, with centre Q, at point B. If the circle are congruent; show that CE = BD.


In the adjoining figure, O is the centre of the circle and AB is a tangent to it at point B. ∠BDC = 65°. Find ∠BAO.


In the given figure, PT touches a circle with centre O at R. Diameter SQ when produced to meet the tangent PT at P. If ∠SPR = x° and ∠QRP = y°; Show that x° + 2y° = 90°


In the Figure, PT is a tangent to a circle. If m(∠BTA) = 45° and m(∠PTB) = 70°. Find m(∠ABT). 


In the given figure, AB is the diameter. The tangent at C meets AB produced at Q. If ∠CAB = 34°, find:

  1. ∠CBA
  2. ∠CQB


In the joining figure shown XAY is a tangent. If ∠ BDA = 44°, ∠ BXA = 36°.
Calculate: (i) ∠ BAX, (ii) ∠ DAY, (iii) ∠ DAB, (iv) ∠ BCD.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×