In a `Delta A B C ,if a=2,/_B=60^0a n d/_C=75^0` , then `b=` (a)`sqrt(3)` (b) `sqrt(6)` (c) `sqrt(9)` (d) `1+sqrt(2)`

In a DeltaA B C ,\ if\ b=sqrt(3),\ c=1\ a n d\ /_A=30^0 , then find a

In a DeltaABC if a = 2, b=sqrt(6),c=sqrt(3)+1 , then cos A=

2. "(sqrt(8))^((1)/(3))="? (a) "2," (b) "4" (c) "sqrt(2)," (d) "2sqrt(2)"

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h)dot . If /_A C B is maximum, then (a) h=3sqrt(5) (b) h=2sqrt(5) (c) h=sqrt(5) (d) h=2sqrt(10)

In a A B C , prove the following : In a DeltaA B C ,\ if\ a=5, \ b=6\ a n d\ C=60^0, show that its area is (15sqrt(3))/2 sq.units dot

Let A B C be a triangle such that /_A C B=pi/6 and let a , b 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=2x+1 is(are) -(2+sqrt(3)) (b) 1+sqrt(3) (c) 2+sqrt(3) (d) 4sqrt(3)

The rationalisation factor of sqrt(3) is (a) -sqrt(3) (b) 1/(sqrt(3)) (c) 2sqrt(3) (d) -2sqrt(3)

The value of sqrt(3-2\ sqrt(2)) is (a) sqrt(2)-1 (b) sqrt(2)+1 (c) sqrt(3)-sqrt(2) (d) sqrt(3)+\ sqrt(2)

In the given figure A B is the diameter of the circle, centred at Odot If /_C O A=60^0,A B=2r ,A C=d , and C D=l , then l is equal to (a) dsqrt(3) (b) d//sqrt(3) (c) 3d (d) sqrt(3) d /2

1/(sqrt(9)-\ sqrt(8)) is equal to: (a) 3+2sqrt(2) (b) 1/(3+2sqrt(2)) (c) 3-2sqrt(2) (d) 3/2-\ sqrt(2)