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In DeltaABC if (sinA)/(sinC)=(sin(A-B))...

In `DeltaABC` if `(sinA)/(sinC)=(sin(A-B))/(sin(B-C))`, then `a^(2), b^(2), c^(2)` are in :

A

a,b,c are in A.P

B

`a^(2),b^(2),c^(2)` are in A.P

C

a,b,c are in H.P

D

`a^(2),b^(2),c^(2)` are in H.P

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
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  3. In DeltaABC if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), then a^(2), b^(2)...

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

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  6. If in a triangle ABC,(a^(2)-b^(2))/(a^(2)+b^(2)) then the triangle is

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

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

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

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

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  11. In any !ABC ,the distance of the orthocentre from the vertices A, B,C ...

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  12. If R is the radius of circumscribing circle of a regular polygon of n-...

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  13. If r is the radius of inscribed circle of a regular polygon of n-sides...

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  14. The area of a regular polygon of n sides is (where r is inradius, R is...

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  15. If r,r(1) ,r(2), r(3) have their usual meanings , the value of 1/(r(1)...

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  16. If p(1), p (2), p(3) are respectively the perpendicular from the verti...

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  17. If p(1), p(2),p(3) are respectively the perpendiculars from the vertic...

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

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  19. If A(1),A(2),A(3) denote respectively the areas of an inscribed polygo...

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  20. If the angles of a triangle are in A.P.with common difference equal 1/...

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