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In Delta ABC, (sin A (a - b cos C))/(sin...

In `Delta ABC, (sin A (a - b cos C))/(sin C (c -b cos A))=`

A

`-2`

B

`-1`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
`(sinA (a -b cos C))/(sinC (c -b cos A))`
`= (sin A (b cos C + c cos B - cos C))/(sin C (a cos B + b cos A - b cos A))`
`= (sin A (c cos B))/(sin C (a cos B))`
`=1 " " ("as " c sin A = a sin C)`
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CENGAGE PUBLICATION-PROPERTIES AND SOLUTIONS OF TRIANGLE-Exercises
  1. In Delta ABC, (sin A (a - b cos C))/(sin C (c -b cos A))=

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  2. If in a triangle A B C ,(1+cosA)/a+(1+cosB)/b+(1+cosC)/c =(k^2(1+cosA...

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  3. In triangle A B C ,2a csin(1/2(A-B+C)) is equal to

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  4. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

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  5. Which of the following pieces of data does NOT uniquely determine an ...

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  6. The sides of a triangle are in the ratio 1: sqrt3:2. Then the angles a...

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  7. In A B C ,a=5,b=12 ,c=90^0a n dD is a point on A B so that /B C D=45^...

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  8. In a triangle ABC, (a+b+c)(b+c-a)=kbc if

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  9. Let D be the middle point of the side B C of a triangle A B Cdot If th...

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  10. In a triangle A B C , the altitude from A is not less than B C and the...

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  11. In A B C , if (sinA)/(csinB)+(sinB)/c+(sinC)/b=c/(a b)+b/(a c)+a/(b c...

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  12. If in A B C , side a , b , c are in A.P. then B > 60^0 (b) B<60^0 B...

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  13. In a DeltaABC, AD is the altitude from A. Given b gt c, angleC=23^(@)"...

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  14. If the sides a , b , c of a triangle A B C form successive terms of G....

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  15. In triangle A B C ,b^2sin2C+c^2sin2B=2bc where b=20 ,c=21 , then i...

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  16. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

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  17. If one side of a triangle is double the other, and the angles on opp...

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  18. If the hypotenuse of a right-angled triangle is four times the length ...

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  19. If P is a point on the altitude AD of the triangle ABC such the /C B P...

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  20. With usual notations, in triangle A B C ,acos(B-C)+bcos(C-A)+c"cos"(A-...

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