Analytical Geometry One Mark Question

11th Standard

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Business Maths

Time : 00:30:00 Hrs
Total Marks : 10
    10 x 1 = 10
  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. The angle between the pair of straight lines x2 - 7xy + 4y2 = 0

    (a)

    \(tan^{-1}\left(1\over 3\right)\)

    (b)

    \(tan^{-1}\left(1\over 2\right)\)

    (c)

    \(tan^{-1}\left(\sqrt{33}\over 5\right)\)

    (d)

    \(tan^{-1}\left(5\over\sqrt{33}\right)\)

  3. 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)

  4. The x - intercept of the straight line 3x + 2y - 1 = 0 is

    (a)

    3

    (b)

    2

    (c)

    1/3

    (d)

    1/2

  5. The slope of the line 7x + 5y - 8 = 0 is

    (a)

    7/5

    (b)

    -7/5

    (c)

    5/7

    (d)

    -9/7

  6. The locus of the point P which moves such that P is at equidistance from their coordinate axes is

    (a)

    \(y={1\over x}\)

    (b)

    y=-x

    (c)

    y=x

    (d)

    \(y=-{1\over x}\)

  7. 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

  8. If kx2 + 3xy - 2y2 = 0 represent a pair of lines which are perpendicular then k is equal to

    (a)

    1/2

    (b)

    -1/2

    (c)

    2

    (d)

    -2

  9. (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

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

    (a)

    4

    (b)

    5

    (c)

    16

    (d)

    25

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