Q1 of 59 Page 83

Four alternative answers for each of the following questions are given. Choose the correct alternative.

Seg XZ is a diameter of a circle. Point Y lies in its interior. How many of the following statements are true?


(i) It is not possible that ∠XYZ is an acute angle.


(ii) ∠ XYZ can’t be a right angle.


(iii) ∠ XYZ is an obtuse angle.


(iv) Can’t make a definite statement for measure of ∠ XYZ.


If Y would have lied on circumference ∠ XYZ = 90° since XZ is the diameter.



If Y lied outside the circle, ∠ XYZ = acute angle



∴∠ XYZ is an obtuse angle.



Statements (i), (ii) and (iii) are true.

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Four alternative answers for each of the following questions are given. Choose the correct alternative.

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Four alternative answers for each of the following questions are given. Choose the correct alternative.

Points A, B, C are on a circle, such that m(arc AB) = m(arc BC) = 120°. Nopoint, except point B, is common to the arcs. Which is the type of ∆ ABC?


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Line l touches a circle with centre Oat point P. If radius of the circle is 9 cm,answer the following.

(1) What is d(O, P) = ? Why ?


(2) If d(O, Q) = 8 cm, where does thepoint Q lie?


(3) If d(PQ) = 15 cm, How manylocations of point R are line online l ? At what distance will eachof them be from point P?



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In figure 3.83, M is the centre of the circle and seg KL is a tangent segment.

If MK = 12, KL = then find -


(1) Radius of the circle.


(2) Measures of ∠ K and ∠ M.