Analytical Geometry Book Back Questions

11th Standard

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Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. If m1 and m2 are the slopes of the pair of lines given by ax2+ 2hxy + by2 = 0, then the value of m1 + m2 is

    (a)

    2h/b

    (b)

    -2h/b

    (c)

    2h/a

    (d)

    -2h/a

  2. If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is

    (a)

    (-1, 1)

    (b)

    (1,1)

    (c)

    (1, -1 )

    (d)

    (-1, -1)

  3. The locus of the point P which moves such that P is always at equidistance from the line x + 2y+ 7 = 0 is

    (a)

    x+2y+2=0

    (b)

    x - 2y + 1 = 0

    (c)

    2x - y + 2 = 0

    (d)

    3x + y + 1=0

  4. (1, - 2) is the centre of the circle x2 + y2 + ax + by - 4 = 0 , then its radius

    (a)

    3

    (b)

    2

    (c)

    4

    (d)

    1

  5. The length of the tangent from (4,5) to the  circle x2 +y2 = 16 is

    (a)

    4

    (b)

    5

    (c)

    16

    (d)

    25

  6. 5 x 2 = 10
  7. Find the centre and radius of the circle x2 + y2 = 16

  8. If the lines x+ y = 6 and x + 2y = 4 are diameters of the circle , and the circle passes through the point (2,6)  then find its equation.

  9. Find the angle between the pair of lines represented by the equation 3x2+10xy+8y2+14x+22y+15=0.

  10. Find the focus, equation of the directrix, vertrix and length of latus sections of the parabola x2=6y.

  11. If the centre of the circle x2+y2+2x-6y+1=0 lies on a straight line ax+2y+2=0, then find the value of ‘a’

  12. 3 x 5 = 15
  13. Find the angle between the pair of straight lines 3x2 -5xy -2y2 +17x + y + 10 = 0

  14. Find whether the points (-1,-2), (1,0) and (-3, -4) lie above, below or on the line 3x+2y+7 =0.

  15. Show that the equation 2x2+7xy+3y2+5x+5y+2=0 represent two straight lines and find their separate equations.

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