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In a DeltaABC, sides a,b,c are in A.P. a...

In a `DeltaABC,` sides a,b,c are in A.P. and `2/(1!9!)+2/(3!7!)+1/(5!5!)=8^a/(2b)!,`then the maximum value of tanA tanB is equal to

A

44228

B

44256

C

44287

D

1/3

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The correct Answer is:
B
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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. If a,b,c,d,be the sides of a quadrilateral and g(x)=f[f{f(x)}], where ...

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  2. In DeltaABC, let A=pi/3, b=40, c=30, AD is a median, them the value of...

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  3. In a DeltaABC, sides a,b,c are in A.P. and 2/(1!9!)+2/(3!7!)+1/(5!5!)=...

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  4. In an isosceles triangle ABC, AB=AC. If vertical angle A is 20^@, then...

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  5. If f,g, h are the internal bisectors of a DeltaABC, then 1/fcos(A/2)+1...

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  6. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

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  7. In a triangle ABC, if cotA =(x^3+x^2+x)^(1//2, cotB =(x+x^-1+1)^(1//2)...

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  8. If the sine of the angles of DeltaABCsatisfy the equationc^3x^3-c^2(a+...

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  9. In a triangle ABC, r^2+r1^2+r2^2+r3^2+a^2+b^2+c^2is equal to (where r ...

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  10. If in a triangle (1-r1/r2)(1-r1/r3)=2,then the triangle is

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  11. If I is the incenter of DeltaABC, then the ratio IA:IB:IC is equal t...

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  12. If in a DeltaABC , a^2cos^2A=b^2+c^2, then

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  13. In any DeltaABC, prod(sin^2A+sinA+1)/sinA is always greater than

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  14. In any triangle ABC,sum(sin^2A+sinA+1)/sinAis always greater than

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  15. In DeltaABC, the value of ((r1+r2)(r2+r3)(r3+r1))/(R(s)^(2) is

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  16. If in a triangle (s-a)/11=(s-b)/12=(s-c)/13, then tan^2(A/2)

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  17. If in a triangle ABC, angleB=60^@,then

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  18. Given an isosceles triangle with equal sides of length b,base angle a...

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  19. In DeltaABC,A=15^@,b =10sqrt2cm the value of 'a' for which these will ...

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  20. In DeltaABC, a=5,b=4,A=(pi/2)+B, thenC

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