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If A gt 0, B gt 0 and A+B=(pi)/(3), then...

If `A gt 0, B gt 0` and `A+B=(pi)/(3)`, then the maximum value of `tan A tan B` is

A

`(1)/(2)`

B

`(1)/(3)`

C

`(1)/(4)`

D

`(1)/(5)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-COMPOUND ANGLES-LECTURE SHEET (EXERCISE - I)
  1. If tan(alpha-beta)=(sin 2beta)/(3-cos2beta), then

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  2. If tan alpha = (1)/(sqrt(x(x^(2)+x+1))), tan beta = (sqrt(x))/(sqrt(x^...

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  3. If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...

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  4. In a triangle PQR angle R=pi //2 if tan (p//2) and tan ( Q//2)...

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  5. If tan alpha, tan beta are the roots of the equation x^(2)+px+q=0 the...

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  6. If sec theta + tan theta=1, then root of the equation (a-2b+c)x^(2) + ...

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  7. If tan alpha is equal to the integral solution of the inequality 4x^(2...

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  8. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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  9. If "tan"^(2)(pi-4)/(4)+"tan"^(2)(pi-B)/(4)+"tan"^(2)(pi-C)/(4)=1, then...

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  10. In a Delta ABC, if tan A : tan B : tan C = 3 : 4 : 5, then the value o...

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  11. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

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  12. If (tan(alpha + beta - gamma))/(tan(alpha - beta + gamma)) = (tan gamm...

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  13. If A, B, C are the angles of a triangle such that "cot"(A)/(2)="3 tan"...

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  14. If tan((pi)/(4)+(y)/(2))=tan^(3)((pi)/(4)+(x)/(2)) then (3+sin^(2)x)/(...

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  15. Let 0lt x lt pi//4, then (sec2x-tan2x) equals

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  16. Which of the following number(s) is/are rational ?

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  17. If alpha+beta+gamma =2pi, then

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  18. If the equation sin x(sin x + cos x)=k has real solutions then k may l...

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  19. If tan theta + tan phi =a, and cot theta + cot phi =b, and theta - phi...

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  20. If cos(alpha - beta) + cos(beta - gamma)+ cos(gamma-alpha)=-3/2, then

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