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Let ABC be a triangle such that angle AC...

Let ABC be a triangle such that `angle ACB = pi//6 ` and c denote the lengths of the side opposite to A,B and C, respectively. The value (s) of x for which `a= x^(2) + x + 1, b = x^(2) - 1 , " and " c = 2 x + 1 ` is are

A

`-(2 + sqrt3)`

B

`1 + sqrt3`

C

`2 + sqrt3`

D

`4sqrt3`

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions )
  1. If the sides of a triangle are in A.P and greatest angle exceeds the l...

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  2. If D is mid point of the side BC of a triangle ABC and AD is perpendic...

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  3. Two circles of radii a and b cut each other at an angle theta then len...

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  4. In the given figure, AB is the diameter of the circle centered at O. I...

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  5. In triangle ABC, D is mid point of BC, if 'AD' is perpendicular to 'AC...

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  6. With usual notation , if in triangle ABC, (b + c)/11 = (c + a)/12 = (...

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  7. The sides of a triangle are three consecutive natural numbers and its ...

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  8. In Delta ABC , 2ac sin ""( 1)/(2) (A-B+C)=

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  9. Let ABC be a triangle such that angle ACB = pi//6 and c denote the le...

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  10. If the lengths of the sides of triangle are 3, 5, and 7, then the larg...

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  11. If in a triangle ABC , a^(2) Cos^(2) A = b^(2) + c^(2) , then

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  12. The side of a triangle are in the ratio 1 : sqrt3 : 2, then the angles...

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  13. ( a- b) ^(2) cos ^(2) ""(C ) /(2) + ( a+b) ^(2) sin ^(2) "" ( C )/(2) ...

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  14. In Delta ABC , if the sides are a = 3, b = 5 and c = 4 , then sin . B...

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  15. In Delta ABC , " if " 1/(b+c) + 1/(c+a) = 3/(a + b + c) , then C is eq...

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  16. A longer side of a parallelogram is 10 cm and the shorter is 6cm. If t...

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  17. If (a + b)^(2) = c^(2) + ab " in a " Delta ABC " and if " sqrt2 (sin ...

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  18. If (a + b)^(2) = c^(2) + ab " in a " Delta ABC , Sin^(4) B + Sin^(4) C...

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  19. Let O be a point inside Delta^("le") ABC such that lfloorOAB = lfloor ...

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  20. In Delta ABC , a/b = 2 + sqrt2 " and " angle C = 60^(@) . Then the ord...

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