Q45 of 141 Page 447

Two statements I and II are given and a question is given. The correct answer is

Is ΔABC right – angled at B?


I. ABCD is a cyclic quadrilateral.


II. ∠D = 90°.


Here,


right – angled at B


If both the conditions satisfy


i)is a cyclic quadrilateral


ii)

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43

Three statements are given below:

I. If a diameter of a circle bisects each of the two chords of a circle, then the chords are parallel.


II. Two circles of radii 10 cm and 17 cm intersect each other and the length of the common chord is 16 cm. Then, the distance between their centres is 23 cm.


III. ∠ is the line intersecting two concentric circles with centre O at points A, B, C and D as shown. Then, AC = DB.


Which is true?


 44

Two statements I and II are given and a question is given. The correct answer is

Is ABCD a cyclic quadrilateral?


I. Points A, B, C and D lie on a circle.


II. ∠B + ∠D = 180°.


 46

The question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer:











Assertion (A)



Reason (R)



The circle drawn taking any one of the equal sides of an isosceles right triangle as diameter bisects the base.



The angle in a semicircle is 1 right angle.


 47

The question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer:











Assertion (A)



Reason (R)



The radius of a circle is 10 cm and the length of one of its chords is 16 cm. Then, the distance of the chord from the centre is 6 cm.



The perpendicular from the centre of a circle to a chord (other than the diameter) bisects the chord.