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If AB is a diameter of a circle and C is any point on the circle, then show that the area of `DeltaABC` is maximum, when it is isosceles.

A

the area of `DeltaABC` is maximum when it is isosceles

B

the area of `DeltaABC` is minimum when it is isosceles

C

the perimeter of `DeltaABC` is maximum when it is isosceles

D

none of these

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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
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  3. If AB is a diameter of a circle and C is any point on the circle, then...

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  4. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  5. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

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  6. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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  7. If the straight line x=2y+1=0 intersects the circle x^2+y^2=25 at poin...

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  8. If the chord of contact of the tangents drawn from the point (h , k) t...

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  9. Find the equation of the circle which cuts the three circles x^2+y^2-3...

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  10. The equation of a circle which passes through (2a, 0) and whose radica...

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  11. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  12. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  13. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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  14. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

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  15. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  16. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

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  17. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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  18. Equation of the circle through the origin and making intercepts of 3 a...

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  19. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

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