The area (in sq units) of the equilateral triangle formed by the tangent at (, 0) to the hyperbola x2 - 3y2 = 3 with the pair of asymptotes of the hyperbola is
If x-coordinate of a point P on the line joining the points Q(2, 2, 1) and R(5, 1, - 2) is 4, then the z-coordinate of P is
- 2
- 1
1
2
A straight line is equally inclined to all the three coordinate axes. Then, an angle made by the line with the y-axis is
The equation of the sphere through the points (1, 0, 0), (0, 1, 0) and (1, 1, 1)and having the smallest radius
- 1
1
0
2
B.
1
The coordinates of the point P on the curve where the tangent is inclined at an angle to x-axis, are
(a, a)
If is the area of the triangle formed by the positive x-axis and the normal and tangent to the circle x2 + y2 = 4 at (1, ) then is equal to
6