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Point D,E are taken on the side BC of an...

Point D,E are taken on the side BC of an acute angled triangle ABC,, such that `BD = DE = EC`. If `angle BAD = x, angle DAE = y and angle EAC = z` then the value of `(sin(x+y) sin (y+z))/(sinx sin z)` is ______

A

1

B

2

C

4

D

None of these

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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise For Sesssion 2
  1. If in a triangle ABC, (s-a)(s-b)= s(s-c), then angle C is equal to

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  2. In any Delta ABC, If cot ""A/2 , cot ""B/2 ,cot ""C/2 are in AP, t...

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  3. In any DeltaABC,("tan"(A)/(2)-"tan"(B)/(2))/("tan"(A)/(2)+"tan"(B)/(2)...

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  4. In a triangle ABC, bc co s^2 A/2 + ca co s^2 B/2 + ab co s ^2C/2 =

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  5. In a Delta ABC, if cos A+cos C=4 sin^(2)((B)/(2)), then a,b,c are in

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  6. In a triangle ABC, if b^2 + c^2 = 3a^2, then cotB + cotC-cotA is equal...

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  7. In any Delta ABC, ((b-c)/(a))cos^(2)((A)/(2))+((c-a)/(b))cos ^(2)((b )...

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  8. If in a DeltaABC, the tangent of half the difference of two angles is ...

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  9. If in a triangle a cos^2C/2+cos^2A/2=(3b)/2, then find the relation be...

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  10. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

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  11. The number of possible angle ABC in which BC =sqrt11cm, CA=sqrt13cm an...

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  12. If two sides a, b and the angle A be such that the sum of two values o...

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  13. If in a DeltaABC, sin A =sin^(2) B and 2 cos ^(2)A=3 cos ^(2) B, then ...

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  14. If a cos A =b cos B, then the triange is

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  15. Point D,E are taken on the side BC of an acute angled triangle ABC,, s...

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  16. If the base angles of triangle are (22)/(12)a n d112 1/2^0 , then prov...

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  17. In a DeltaABC, a =1 and the perrimeter is six times the AM of the sinc...

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  18. In a DeltaABC, if median AD is perpendicular to AB, the tan A+2 tan B ...

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  19. The product of the sines of the angles of a triangle is p and the pro...

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