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Consider a regular polygon of 12 sides e...

Consider a regular polygon of 12 sides each of length one until, then which of the following is not true?

A

The area of polygon is `(6+3sqrt(3))`

B

The circum-radius of polygon is `1/2(sqrt(6)+sqrt(2))`

C

The radius of incircle is `(2+sqrt(3))/(2)`

D

Each internal angle is of `135^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
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  5. In triangleABC, If r(1), r(2), r(3) are exradii opposites to angles A,...

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  6. If in a triangle ABC , 2(cosA)/a+(cosB)/b+2(cosC)/c=a/(bc)+b/(ca), ...

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  7. In triangle ABC if the line joining incenter to the circumcenter is pa...

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  8. With usual notations, if in a triangle ABC (b+c)/(11) = (c+a)/(12) = ...

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  9. Consider a regular polygon of 12 sides each of length one until, then ...

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  10. If the perimeter of a triangle is 6, then its maximum area is

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  11. In a triangle ABC, If A=B=120^(@) and R=8r, then the value of cosC is

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  12. In a triangle ABC, we have acosB+bcosC+ccosA=(a+b+c)/2 where A, B, ...

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  13. A regular pentagons is inscribed in a circle. If A(1) and A(2) represe...

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  14. If in Delta ABC, 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle ABC...

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  15. O is the circumcenter of A B Ca n dR1, R2, R3 are respectively, the r...

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  16. In triangle ABC, if r(1) = 2r(2) = 3r(3), then a : b is equal to

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  17. In triangleABC, the expression (b^(2)-c^(2))/(asin(B-C)) + (c^(2)-a^2...

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  18. In a triangle ABC if 2Delta^(2)=(a^(2)b^(2)c^(2))/(a^(2)+b^(2)+c^(2)),...

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  19. ABCD is a trapezium such that AB and DC are parallel and BC is perpend...

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  20. If the median of triangle ABC through A is perpendicular AB, then the ...

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