Circle 1 Question 10

10. AB is a diameter of a circle and C is any point on the circumference of the circle. Then,

(1983, 1M)

(a) the area of ABC is maximum when it is isosceles

(b) the area of ABC is minimum when it is isosceles

(c) the perimeter of ABC is minimum when it is isosceles

(d) None of the above

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Answer:

Correct Answer: 10. (a)

Solution:

  1. Clearly, C=90 as angle in semi-circle is right angled. Now, area of triangle is maximum when AC=BC. i.e. Triangle is right angled isosceles.



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