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The sides of a triangle are sin alpha,co...

The sides of a triangle are `sin alpha,cos alpha` and `sqrt(1+sin alpha cos alpha)` for some `0 lt alpha lt pi/2`. Then the greatest angle of the triangle is

A

`60^@`

B

`150^@`

C

`120^@`

D

`90^@`

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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  2. If the sides of a triangle are in the ratio x:y:sqrt(x^2+xy+y^2), then...

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  3. The sides of a triangle are sin alpha,cos alpha and sqrt(1+sin alpha c...

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  4. The smallest angle of the triangle whose sides are 6+sqrt12,sqrt48,sqr...

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  5. IF the angles of a triangle are in the ratio 2:3:5, then the ratio of ...

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  6. If the angles of a right angled triangle are in A.P then the sides are...

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  7. IF the angles of a triangle are in the ratio 1:2:3, the corresponding ...

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  8. If the angles of a triangle are in the ratio 1:2:7, then the ratio of ...

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  9. The angles of a triangle are in the ratio 3:5:10. Then the ratio of th...

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  10. IF the angles of triangle are in the ratio 1:1:4 then the ratio of the...

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  11. In Delta ABC, if sin^2 A+sin^2 B=sin^2 C, then C=

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  12. In Delta ABC, sin A: sin B: sin C is

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  13. The sides of a right angled triangle are in A.P then they are in the r...

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  14. The circumcentre of a triangle lies with in the triangle only when the...

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  15. In Delta ABC, if cos^2 A+ cos^2 B+cos^2 C=1, then the triangle is

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  16. In Delta ABC, if cos A+cos B+ cos C=3//2, then the triangle is

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  17. In Delta ABC,if tan A+ tan B + tan C= 3sqrt3, then the triangle is

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  18. In Delta ABC, if tan B tan C+tan C tan A+tan A tan B=sqrt3 tan A tan B...

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  19. In Delta ABC, if c(a+b) cos B//2=b (a+c) cos C//2, then the triangle i...

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  20. In Delta ABC, if a^2+b^2+c^2=8R^2, then the triangle is

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