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Which axis the points such as (0,x) (0,y...

Which axis the points such as (0,x) (0,y) (0,2) and (0,-5) lie on? Why?

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In which quadrant or on which axis does each of the points (-2, 4), (3, -1), (-1, 0), (1, 2)" and "(-3, -5) lie ? Verify answer by locating them on the Cartesian plane.

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Knowledge Check

  • The production of item A is x and the production of item B is y. If the corner points of the bounded feasible region are (1, 0), (2, 0), (0, 2) and (0, 1) then the maximum profit z = 2000x + 5000y is ……..

    A
    20000
    B
    5000
    C
    4000
    D
    10000
  • The position of the points O(0, 0) and P(2, -1) is ………, in the region of the inequality 2y-3xlt5 .

    A
    O is inside the region and P is outside the region
    B
    O and P both are inside the region
    C
    O and P both are outside the region
    D
    O is outside the region and P is inside the region
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    Three identical point mass each of mass 1kg lie in the x-y plane at point (0,0), (0,0.2m) and (0.2m, 0). The net gravitational force on the mass at the origin is

    A plane passes through the points P(4, 0, 0) and Q(0, 0, 4) and is parallel to the Y-axis. The distance of the plane from the origin is

    If the points A(x,y), B(a,0) and C(0,b) are collinear, prove that (x)/(a) + (y)/(b) = 1

    If three points (h,0), (a,b) and (0,k) lie on a line, show that (a)/( h) + (b)/(k)=1 .

    Two charges - q and + q are located at points (0, 0, - a) and (0, 0, a) respectively. (a) What is the electrostatic potentiaJ at the points (0, 0, z) and (x, y, 0) ? (b) Obtain the dependence of potential on the distance r of a point from the origin when r/a gt gt 1. (c ) How much work is done in moving a small test charge from the point (5, 0, 0) to (-7, 0, 0) along the x-axis ? Does the , answer change if the path of the test charge between the same points is not along the x-axis ?

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