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If the cotangents of half the angles of ...

If the cotangents of half the angles of a triangle are in A.P., then prove that the sides are in A.P.

A

A.P.

B

G.P.

C

H.P.

D

none

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The correct Answer is:
A
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ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
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  2. If in a triangle ABC, S = a^2 - (b -c)^2 then tan A is equal to

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  3. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

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  4. If in a triangle ABC cos A cos B+sin Asin B sin C = 1, then the sides ...

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  5. If in a triangle ABC cos Acos B + sin A sin B sin C = 1, then the tria...

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  6. If in a !ABC , a = 6 , b = 3 and cos (A -B) =4/5,then its area in squa...

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  7. In a triangle ABC we define x = tan""(B-C)/2 tan""A/2, y=tan""(C-A)/2 ...

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  8. In a triangle ABC if a =5,b= 4,cos (A - B) = 31/32, then the third sid...

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  9. In a triangle cot A cot B cot C gt 0, then the triangle is

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  10. If cos B cos C+sin B sin C sin^2 A = 1, then the triangle ABC is

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  11. If cos A+ cos B+cos C = 3//2," then " DeltaABC is

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  12. The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the a...

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  13. The two adjacent sides of a cyclic quadrilateral are 2 cm and 5 cm and...

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  14. If a,b,c,d are the side of a quadrilateral, then find the the minimuym...

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  15. There can exist a triangle ABC satisfying the conditions :

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  16. If the sides of a triangle are 17 , 25a n d28 , then find the greatest...

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  17. In a Delta ABC, tan 4 - ,tan, then

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  18. If the cotangents of half the angles of a triangle are in A.P., then ...

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  19. If the roots of the equation c^(2)x^(2)- c(a+b)x + ab =0 are sin A, s...

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  20. Which of the following holds goods for any triangle ABC ?

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