The line L1: y = x = 0 and L2: 2x + y = 0 intersect the line L3: y + 2 = 0 at P and Q respectively. The bisectorof the acute angle between L1 and L2 intersects L3 at R.
Statement-1: The ratio PR: RQ equals 2√2:√5
Statement-2: In any triangle, the bisector of an angle divides the triangle into two similar triangles.
Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1
Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1
Statement-1 is true, Statement-2 is false
Statement-1 is true, Statement-2 is false
For the LPP Min z = x1 + x2 such that inequalities 5x1 + 10x2 0, x1 + x2 1, x2 4 and x1, x2 > 0
There is a bounded solution
There is no solution
There are infinite solutions
None of these
The maximum value of the objective function Z = 3x + 2y for linear constraints x + y 7, 2x + 3y 16, x2 0, y2 0 is
16
21
25
28
A diet of a sick person must contain atleast 4000 unit of vitamins, 50 unit of proteins and 1400 calories. Two foods A and B are available at cost rs. 4 and rs. 3 per unit respectively. If one unit of A contains 200 unit of vitamins, 1 unit of protein and 40 calories, while one unit of food B contains 100 unit of vitamins, 2 unit of protein and 40 calories. Formulate the problem, so that the diet be cheapest
None of the above
The constraints - x1 + x2 1, - x1 + 3x2 9, x1, x2 > 0 defines on
bounded feasible space
unbounded feasible space
both bounded and unbounded feasible space
None of the above
The objective function Z = x1 + x2, subject to the constraints are x1 + x2 10, - 2x1 + 3x2 15, x1 6, x1x2 0 has maximum value of _ the feasible region.
at only one point
at only two points
at every point of the segment joining two points
at every point of the line joining two points equivalent to
The objective function z = 4x1 + 5x2, subject to 2x1 + x2 7, 2x1 + 3x2 15, x2 3, x1x2 0 has minimum value at the point
on X-axis
on Y-axis
at the origin
on the line parallel to X-axis