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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-PROPERTIES AND SOLUTIONS OF TRIANGLE-Exercise (Single)
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  2. If in a triangle ABC, (1 + cos A)/(a) + (1 + cos B)/(b) + (1+ cos C)/(...

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

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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 Delta ABC, (a + b+ c) (b + c -a) = kbc if

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  9. Let D be the middle point of the side BC of a triangle ABC. If the tri...

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  10. In a triangle ABC, the altitude from A is not less than BC and the alt...

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  11. In DeltaABC, if (sin A)/(c sin B) + (sin B)/(c) + (sin C)/(b) = (c)/(a...

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  12. If in Delta ABC, sides a, b, c are in A.P. then

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  13. In a triangle ABC, AD is the altitude from A. If b gt c. angleC = 23^(...

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  14. If the sides a, b, c, of a triangle ABC form successive terms of G.P.w...

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  15. In triangle ABC, b^(2) sin 2C + c^(2) sin 2B = 2bc where b = 20, c = 2...

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  16. In Delta ABC if AB = x, BC = x + 1, angleC = (pi)/(3), then the less i...

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

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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 ABC, a cos (B - C) + b cos (C - A) +...

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