English

How Many Common Tangents Can Be Drawn to Two Circles, Touching Eachother Externally? - Geometry Mathematics 2

Advertisements
Advertisements

Question

How many common tangents can be drawn to two circles, touching each
other externally?

Options

  • One

  • Two

  • Three

  •  Four

MCQ

Solution

Three

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Balbharati Model Question Paper Set 1

RELATED QUESTIONS

In triangle PQR, PQ = 24 cm, QR = –7 cm and ∠PQR = 90°. Find the radius of the inscribed circle.


In Figure 2, XP and XQ are two tangents to the circle with centre O, drawn from an external point X. ARB is another tangent, touching the circle at R. Prove that XA + AR = XB + BR ?


In the adjoining figure the radius of a circle with centre C is 6 cm, line AB is a tangent at A. Answer the following questions.
(1) What is the measure of ∠CAB ? Why ?
(2) What is the distance of point C from line AB? Why ?
(3) d(A,B) = 6 cm, find d(B,C).
(4) What is the measure of ∠ABC ? Why ? 


Two chords AB and CD of lengths 6cm and 12cm are drawn parallel inside the circle. If the distance between the chords of the circle is 3cm, find the radius of the circle.


Find the length of the tangent from a point which is at a distance of 5cm from the centre of the circle of radius 3cm.


A point A is 17cm from the centre of the circle. The length of the tangent drawn from A to the circle is 15cm. find the radius of the circle.


In following fig., ABC is a right- angled triangle at A with sides AB = 5 cm and BC = 13 cm . A circle with centre O has been inscribed in the triangle ABC. Calculate the radius of the incircle. 


In the figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA + AR = XB + BR. 


In a square ABCD, its diagonal AC and BD intersect each other at point O. The bisector of angle DAO meets BD at point M and bisector of angle ABD meets AC at N and AM at L. Show that -  ∠ BAM = ∠ BMA


In Figure, AB is diameter and AC is a chord of a circle such that ∠BAC = 30°. The tangent at C intersects AB produced at D. Prove that BC = BD.


Two circle with radii r1 and r2 touch each other externally. Let r be the radius of a circle which touches these two circle as well as a common tangent to the two circles, Prove that: `1/sqrtr + 1/sqrtr_1 + 1/sqrtr_2`.


In figure, M is the centre of the circle and seg KL is a tangent segment. If MK = 12, KL = `6sqrt(3)`, then find

(i) Radius of the circle.
(ii) Measures of ∠K and ∠M.


In figure, 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 ______.

 


The distance between the centres of equal circles each of radius 3 cm is 10 cm. The length of a transverse tangent AB is ______ 

 


ΔABC circumscribes a circle of radius r such that ∠B = 90°. If AB = 3 cm and BC = 4 cm, then find the value of r.


In the given figure, PT is a tangent at T to the circle with centre O. If ∠TPO = 25°, then x is equal to ______.


In the given figure O, is the centre of the circle. CE is a tangent to the circle at A. If ∠ABD = 26° find:

  1. ∠BDA
  2. ∠BAD
  3. ∠CAD
  4. ∠ODB


In the given figure, AB and AC are tangents to the circle. If ∠ABC = 42°, then the measure of ∠BAC is ______.


In the given diagram, PS and PT are the tangents to the circle. SQ || PT and ∠SPT = 80°. The value of ∠QST is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×