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11th Standard English Medium Business Maths Subject Analytical Geometry Book Back 3 Mark Questions with Solution Part - II

11th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 15
    5 x 3 = 15
  1. Find the value of p for which the straight lines 8px + (2 - 3p)y + 1 = 0 and px + py - 7 = 0 are perpendicular to each other.

  2. Find the equation of the parabola whose focus is the point F(-1, -2) and the directrix is the line 4x - 3y + 2 = 0

  3. If the slope of one of the straight lines ax2 + 2hxy + by2 = 0 is thrice that of the other, then show that 3h2 = 4ab.

  4. If (4,1) is one extremity of a diameter of the circle x2 + y2 - 2x + 6y -15 = 0, find the other extremity.

  5. The average variable cost of a monthly output of x tonnes of a firm producing a valuable metal is  Rs. \(\frac { 1 }{ 5 } { x }^{ 2 }-6x+100\). Show that the average variable cost curve is a parabola. Also find the output and the  average cost at the vertex of the parabola.

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