A pair of tangents is drawn to a unit circle with center at the origin and these tangents intersect at `A` enclosing an angle of `60^0` . The area enclosed by these tangents and the arc of the circle is `2/(sqrt(3))-pi/6` (b) `sqrt(3)-pi/3` `pi/3-(sqrt(3))/6` (d) `sqrt(3)(1-pi/6)`

A pair of tangents are drawn to a unit circle with centre at the origin and these tangents intersect at point P enclosing an angle of 60^(@) . The area enclosed by the tangents and the arc of the circle is,

A pair of tangents are drawn to a unit circle with centre at the origin and these tangents intersect at the point P enclosing an angle of 60^(0). The area enclosed by the tangents and the arc of the circle is,(2)/(sqrt(3))-(pi)/(6) (b) sqrt(3)-(pi)/(3)(pi)/(3)-sqrt(3)(d)sqrt(3)(1-(pi)/(6))

If the distance between the centers of two circles of unit radii is 1 the common area of the circles is 1) (2 pi)/(3)-sqrt(3) 2) (2 pi)/(3)+sqrt(3) 3) (2 pi)/(3)-(sqrt(3))/(2) 4) (2 pi)/(3)(sqrt(3))/(3)

Two medians drawn from the acute angles of a right angled triangle intersect at an angle (pi)/(6) . If the length of the hypotenuse of the triangle is 3 units,then the area of the triangle (in sq. units is (a) sqrt(3)(b)3(c)sqrt(2) (d) 9

The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is (A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))

The angle between the two tangents from the origin to the circle (x-7)^(2)+(y+1)^(2)=25 equals (A) (pi)/(4) (B) (pi)/(3) (C) (pi)/(2) (D) (pi)/(6)

If the pair of straight lines xy sqrt(3)-x^(2)=0 is tangent to the circle at P and Q from the origin O such that the area of the smaller sector formed by CP and CQ is 3 pi sq.unit, where C is the center of the circle,the OP equals ((3sqrt(3)))/(2) (b) 3sqrt(3)( c) 3 (d) sqrt(3)

Two tangents making an angle of 120^(0) with each other are drawn to a circle of radius 6cm, then the length of each tangent is equal to sqrt(3)cm(b)6sqrt(3)cm(c)sqrt(2)cm(d)2sqrt(3)cm

cot^(-1)(-sqrt3)= (a) -pi/6 (b) (5pi)/6 (c) pi/3 (d) (2pi)/3

The amplitude of (1+i sqrt(3))/(sqrt(3)+i) is (pi)/(3) b.-(pi)/(6) c.(pi)/(3) d.(pi)/(6)