A lizard, at an initial distance of 21 cm behind an insect, moves from rest with an acceleration of 2 cm/s2 and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm/s. Then the lizard will catch the insect after
20 s
1 s
21 s
21 s
The value of such that the system of equations 2x - y - 2z = 2; x - 2y + z = - 4; x + y + z = 4, has no solution, is
3
1
0
- 3
Performing 3 iterations of bisection method the smallest positive approximate root of the equation x3 - 5x + 1 = 0, is
0.25
0.125
0.52
0.1875
The feasible region represented x1 + x2 1, - 3x1 + x2 3, () is
a polygon
a singleton set
empty set
None of these
C.
empty set
Given inequalities are
It is clear from the graph that no feasible region are there. Hence, it is an empty set
The set of values of x for which the inequalities x2 - 3x - 10 < 0, 10x - x2 - 16 > 0 hold simultaneously, is
(- 2, 5)
(2, 8)
(- 2, 8)
(2, 5)
The locus of z satisfying the inequality , where z = x + iy, is
x2 + y2 < 1
x2 - y2 < 1
x2 + y2 > 1
2x2 + 3y2 < 1
The set of all real values for which the function
has exactly one maxima and exactly one minima, is