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If sin (A + B + C) = 1, tan (A - B) = 1/...

If `sin (A + B + C) = 1, tan (A - B) = 1//sqrt(3)` and `"sec" (A + C) = 2`, then

A

`A = 90^(@), B = 60^(@), C = 30^(@)`

B

`A = 120^(@), B = 60^(@), C = 0^(@)`

C

`A = 60^(@), B = 30^(@), C = 0^(@)`

D

none of these

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. If, in Delta ABC, a = 2b and A = 3B, then A :

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  2. If Delta ABC, is right angled at C, then: 4s (s - a)(s - b)(s-c) = ....

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  3. If sin (A + B + C) = 1, tan (A - B) = 1//sqrt(3) and "sec" (A + C) = 2...

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  4. If H is the orthocentre of the Delta ABC, then find AH.

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  5. If the side of a right-angled triangled are in A.P., then tangents of ...

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  6. If, in Delta ABC, a = 13 cm, b = 13cm, c = 5 cm, then cosC is

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  7. In the Delta ABCA gt B. If the measures of A and B satisfy the equatio...

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  8. In Delta ABC , a= 6 ,b=3 and cos (A-B) = 4/5 .Then are of triangle i...

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  9. If, in Delta ABC, tan A + tan B + tan C gt 0, then the triangle is

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  10. In a DeltaABC, tan A+tan B+tan C =6 and tan A tan B = 2, then the tria...

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  11. If, in Delta ABC, a^(4) + b^(4) + c^(4) = 2a^(2)(b^(2) + c^(2)) then :...

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  12. If, Delta ABC is right angled at C, then : tanAtanB = ....

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  13. In a right of a triangle, the hypotenuse is 2 times the perpendicular....

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  14. Two sides of a triangle are (sqrt(3)+1) and (sqrt(3)-1), and the angle...

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  15. If, in Delta ABC, 3a = b + c then: cot (B/2) cdot cot (C/2) = .....

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  16. If, in Delta ABC, cos A = cos B cdot cos C, then: cot B cdot cot C= ...

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  17. If the altitudes of a Delta are in A.P., then its sdies are in

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  18. If, in Delta ABC, a = 2x, b = 2y and C = 120^(@) then the area of the ...

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  19. If, in Delta ABC, a = 4, b= 5 and C = 6 then /C=....

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  20. If, in Delta ABC, a = 13, b = 14, c = 15, then : sin (A//2) = ....

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