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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 ^(@) `

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
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  7. If DeltaABC, ifangleC=(pi)/(3), "then"(3)/(a+b+c)-(1)/(a+c) equals

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  8. If C=60^(@), " then show that"(a)/(b+c)+(b)/(c+a)=1

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  9. If angles A,B,C are in A.P . , then 2cos (( A-C)/( 2))=

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  10. If C = 60 ^(@) " then "= ( b)/( c^(2) -a^(2)) + ( a) /( c^(2)- b^(2...

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  12. In Delta ABC, if (2 cos A)/a+ (cos B)/b+ (2 cos C)/c=a/(bc)+b/(ca), th...

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  13. The straight roads intersect at angle of 60^@. A bus on one road is 2k...

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  14. The lengths of the two larger sides of a triangle are 10 and 9. If the...

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  16. In Delta ABC , if A = 3C " then " (a-c)/( 2c ) =

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  17. Two sides of a triangle are given by the roots of the equation x^2-5x+...

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