Home
Class 10
MATHS
In the adjoining figure, the radius of a...

In the adjoining figure, the radius of a circle with centre C is 6cm,
line AB is a tangent at A. Answer the following question
(i) What is the measure of `angle CAB`? Why?
(ii) What is the distance of point C from line AB? Why?
(iii) d(A,B)=6cm, find d(B,C).
(iv) What is the measure of `angleABC` ? Why?

Text Solution

Verified by Experts

The correct Answer is:
(i)`thereforeangleCAB=90^@` (ii) `therefore` the distance of point C from line AB is 6cm .(iii) `therefore d(A,B)=6sqrt2`cm
(iv) `therefore angle ABC=45^@`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

    TARGET PUBLICATION|Exercise Practice Set 3.2|3 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Practice Set 3.3|2 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Try this|8 Videos
  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise CHAPTER-1 :Linear Equations in Two Variable|1 Videos
  • CO-ORDINATE GEOMETRY

    TARGET PUBLICATION|Exercise CHAPTER ASSESSMENT|15 Videos

Similar Questions

Explore conceptually related problems

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.(i)What is the measure of /_CAB?why?

In the adjoining figure, the radius of a circle with centre C is 6 cm. Line AB is a tangent at A. d(A,B)=6 cm, find d(B,C).

In the adjoining figure, the radius of a circle with centre C is 6 cm. Line AB is a tangent at A. What the measure of /_CAB ? Why?

In the adjoining figure, the radius of a circle with centre C is 6 cm. Line AB is a tangent at A. What is the distance of point C from line AB?

In the adjoining figure, line PR touches the circle at point Q. Using the information given in the diagram, answer the following question: What is the sum of /_TAQ and /_TSQ ?

Line l touches the circle with centre O at P,radius of the circle is 9 cm.Answer the following.(i)What is d(O,P)

Studt the activity and answer the following questions: What is the type of work done in figures A, B and C

In the adjoining figure, O is the centre and seg AB is a diameter. At point C on the circle, the tangent CD is drawn. Line BD is tangent at B. Prove that seg OD||seg AC

In the adjoining figure, seg AB is a diameter of a circle with centre C. Line PQ is a tangent, which touches the circle at point T. Seg AP bot line PQ and seg BQ bot line PQ. Prove that seg CP cong seg CQ.

Answer the following question : In Delta ABC, m angle A = m angle B = 90^@ , m angle C = 45^@ . Is this triangle possible ? Why?