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
C.
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
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