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In a triangle ABC , if 3a = b + c , then...

In a triangle ABC , if 3a = b + c , then cot `B/2` cot `C/2` =

A

1

B

`sqrt3`

C

2

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
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  7. If in a Delta ABC , cos a cos B +- sin A sin B sin C = 1, then show th...

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  10. If p(1),p(2),p(3) are altitudes of a triangle ABC from the vertices A,...

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  11. P(1), P(2), P(3) are altitudes of a triangle ABC from the vertices A, ...

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  12. If median of the DeltaABC through A is perpendicular to BC, then which...

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  13. If in a triangle ABC, (sinA)/(sinC) = (sin(A-B))/(sin(B-C)), then

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  14. If in a !ABC ,a tan A + btanB =(a + b) tan((A+B)/2) , then

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  15. If in a triangle ABC , cosA=(sinB)/(2sinC) then the triangle ABC , i...

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  16. If in a triangle ABC,(a^(2)-b^(2))/(a^(2)+b^(2))= sin(A-B)/sin(A+B) th...

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  17. If in a triangle ABC, b + c = 3a, then tan(B/2)tan(C/2) is equal to

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  18. Let ABC be a triangle such that angle A =45^(@) , angle B =75^(@), the...

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  19. If in a DeltaABC , cos A + 2 cosB+cosC= 2, then a,b, c are in

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  20. If the altitudes of a triangle are in A.P,then the sides of the triang...

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