A ray of light coming from the point (2, 2) is incident at an angle 30° on the line x = 1 at the point A. The ray gets reflected on the line x = 1 and meets x-axis at the point B. Then, the line AB passes through the point ;
Let m and M be respectively the minimum and maximum value values of
Then the ordered pair (m, M) = ?
( - 3, 3)
(1, 3)
( - 3, - 1)
( - 4, - 1)
The values of for which the system of linear equations
x + y + z = 2
x + 2y + 3z = 5
x + 3y +
has infinitely many solutions are respectively :
5 and 8
4 and 9
6 and 8
5 and 7
The position of moving car at time tis given by f(t) = at2 + bt + c, t > 0, where a, b and c are real numbers greater than 1. Then the average speed of the car over the time interval [t1, t2] is attained at the point
D.