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If C=60^(@), " then show that"(a)/(b+c)+...

If `C=60^(@), " then show that"(a)/(b+c)+(b)/(c+a)=1`

A

`2`

B

`0`

C

` -1`

D

` 1`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. In DeltaABC, " if" (1)/(a+c)+(1)/(b+c)=(3)/(a+b+c) then show that C=...

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  2. If DeltaABC, ifangleC=(pi)/(3), "then"(3)/(a+b+c)-(1)/(a+c) equals

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  3. If C=60^(@), " then show that"(a)/(b+c)+(b)/(c+a)=1

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  4. If angles A,B,C are in A.P . , then 2cos (( A-C)/( 2))=

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  5. If C = 60 ^(@) " then "= ( b)/( c^(2) -a^(2)) + ( a) /( c^(2)- b^(2...

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  6. In an acute angled Delta ABC , if a^(4) + b^(4) +c^(4) = 2c^(2)...

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  7. In Delta ABC, if (2 cos A)/a+ (cos B)/b+ (2 cos C)/c=a/(bc)+b/(ca), th...

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  8. The straight roads intersect at angle of 60^@. A bus on one road is 2k...

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  9. The lengths of the two larger sides of a triangle are 10 and 9. If the...

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  10. In Delta ABC, if B=90^@ then tan""A/2=

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  11. In Delta ABC , if A = 3C " then " (a-c)/( 2c ) =

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  12. Two sides of a triangle are given by the roots of the equation x^2-5x+...

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  13. Two adjacent sides of cyclic quadrilateral are 2 and 5 and angle betwe...

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  14. In a triangle ABC, if B=30^@ and c=sqrt3b, then A can be equal to

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  15. In a Delta ABC, a (cos^2 B+cos^2 C)+cos A(c cos C+b cos B)=

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  16. In Delta ABC , a( b^(2) + c^(2) ) cos A +b ( c^(2) +a^(2)) cos B + c(...

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  17. (cos ^(2) ((B-C)/( 2)) )/( (b+c)^(2))+( sin ^(2)((B-C)/( 2)) )/( (b-c...

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  18. In DeltaABC,(b-c)/(b+c)cot""A/2+(b+c)/(b-c) tan""A/2=

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  19. If a=3,b =4,c= 5 ,then sin 2B is

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  20. If a cos ^(2) "" (C )/(2) +c cos ^(2) "" (A)/(2) = (3b)/( 2 ) " th...

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