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Points D,E are taken on the side BC of a...

Points D,E are taken on the side BC of a triangle ABC, such that BD=DE=EC. IF `angle BAD=x, angle DAE=y, angle EAC=z`, then the value of `(sin(x+y)sin (y+z))/(sinx sin z)`=

A

1

B

2

C

4

D

None

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A
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  4. In Delta ABC, if B=60^@,C=45^@ and D divides BC internally in the rati...

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  5. If the area of an isosceles triangle is sqrt2+1are vertical angle is 4...

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  6. IF A,B,C are angles of a triangle, then the minimum value of tan^2""A/...

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  7. In Delta ABC, sum a (sin B-sin C)=

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  8. In Delta ABC, sum a^2 (cos^2 B-cos^2 C)=

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  9. In Delta ABC, sum a .sin (B-C)=

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  10. In a triangle ABC, C=90^@. Then (a^2-b^2)/(a^2+b^2)=

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  11. In any Delta ABC,((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=

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  12. In Delta ABC, sum a^3 sin (B-C)=

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  13. In Delta ABC, sum a^3 sin (B-C)=

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  14. In a triangle ABC, (a^2-b^2-c^2) tan A+ (a^2-b^2+c^2) tan B is equal t...

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

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  16. In Delta ABC, (b-a cos C)/(c-a cos B)=

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  17. In Delta ABC, (cos C+ cos A)/(c+a)+(cos B)/b=

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  18. In a triangle ABC, (a(a+c-b))/(b(b+c-a)) is equal to

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

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  20. In Delta ABC, (b+c-a) tan (A//2)=

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