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If the angles of a triangle are in A.P.w...

If the angles of a triangle are in A.P.with common difference equal `1//3` of the least angle ,the sides are in the ratio

A

`sqrt2:2sqrt3:sqrt6+sqrt2`

B

`2sqrt2:sqrt3:sqrt6-sqrt2`

C

`2sqrt2:2sqrt3:sqrt6-sqrt2`

D

`2sqrt2:2sqrt3:sqrt6+sqrt2`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
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  3. If the angles of a triangle are in A.P.with common difference equal 1/...

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  6. The area of a !ABC is b^(2)-(c-a)^(2). Then ,tan B =

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  7. In a DeltaABC, Sin A /SinC = sin(A-B)/ sin(B - C) , then a^2, b^2, c^2...

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  8. If in a triangle ABC, 3 sin A = 6 sin B=2sqrt3sin C, then the angle A...

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  9. The side of a Delta are in AP. And its area is 3/5xx (area of an equil...

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  10. In a triangle sin^(4)A + sin^(4)B + sin^(4)C = sin^(2)B sin^(2)C + 2si...

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  11. In any triangle ABC ,(tanA/2-tanB/2)/(tanA/2+tanB/2) is equal to

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  12. If the sides a,b and c of a !ABC are in A.P.,then (tanA/2+tanC/2):co...

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  13. If the sides of the triangle are the roots of the equation x^(3)-2x^(...

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  14. If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2))...

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  15. If a DeltaABC is right angled at B, then the diameter of the incircle ...

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  16. If a^(2),b^(2),c^(2) are in A.P.,then which of the following is also i...

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  17. If in a !ABC , sin^(3)A+sin^(3)B+sin^(3)C=3sinAsinBsinC, then abs(...

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  18. If the ex-radii of a triangle are in H.P.,then the corresponding sides...

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  19. If I is the incentre of a !ABC , then IA:IB:IC is equal to

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