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If a sin^(3)x+b cos^(3)x= sin x cos x an...

If `a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x` then `a^(2)+b^(2)=`

A

`1//2`

B

2

C

1

D

`1//3`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
  1. If a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x then a^(2)+...

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  2. In a triangle ABC, if A,B, C are in A.P and b:c =sqrt3:sqrt2, then

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  3. In Delta ABC, if B=60^@,C=45^@ and D divides BC internally in the rati...

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  4. If a=4,b=5,c=6 then

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  5. In DeltaABC, if a= 2, b= sqrt(6) and c= sqrt(3)+1 then A=

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  6. In DeltaABC, if the sides a,b,c are the roots of x^(3)-11x^(2)+38x-40=...

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  7. In triangle ABC, triangle A^(1)B^(1)C^(1) are such that B=B^(1),A+A^(1...

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  8. In triangle ABC, right angle at B if s-a=3, s-c=2 then a,c are

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  9. The distance of the orthocentre from the vertices A,B,C are in the rat...

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  10. If H is the orthocentre of DeltaABC and AH=x, BH=y, CH=z then (abc)/(x...

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  11. If the angles A,B,C of a triangle are in A.P and sides a,b,c are in G....

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  12. In triangle ABC, range of (a^(2)+b^(2)+c^(2))/(ab+bc+ca) is (a,b,c are...

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  13. In DeltaABC, if AD is the altitude and O is the orthocentre of DeltaAB...

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  14. If R is the circumradius of equilateral traingle DeltaABC then circumr...

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  15. If alpha, beta, gamma are lenghts of internal bisectors of angles A,B,...

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  16. In DeltaABC, a=2b,|A-B|=(pi)/(3) then angle C=

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  17. In Delta ABC , if x=tan((B-C)/(2))tan.(A)/(2),y=tan((C-A)/(2))tan.(B)/...

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  18. In a triangle ABC, D and E are the mid-points of BC, CA respectively. ...

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  19. The alternate vertices of a regular hexagon are joined to form another...

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  20. In DeltaABC if r(1)=2r(1)=3r(3) and D is the mid point of BC then cos ...

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  21. If (sin 3B)/(sinB)=((a^(2)-c^(2))/(2ac)) then a^(2),b^(2),c^(2) are in

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