NDA MATHS QUESTION BANK

(sacavldel) #1

  1. The intercepts of a straight line
    upon the co-ordinate axes are a and b.
    If the length of the perpendicular on
    this line from the origin be 1, then
    which one of the following relations is
    correct?


(a) (b) (^) √^ (c)
(d)



  1. For what values of k, are the lines x



  • 2y – 9= 0 and kx + 4y + 5= 0 parallel?
    (a) 2 (b) -1 (c) 1 (d) 0



  1. What is the equation of a line
    parallel to x-axis at a distance of 5 units
    below x-axis?
    (a) x= 5 (b) x= -5 (c) y= 5 (d) y= - 5

  2. What are the coordinates of the foot
    of the perpendicular from the point (2,



  1. on the line x + y – 11= 0?
    (a) (2, 9) (b) (5, 6) (c) (-5, 6) (d) (6, 5)



  1. If (p, q) be the point on the x-axis
    equidistant from the points (1, 2) and
    (2, 3), then which one of the following
    is correct?
    (a) p= 0, q= 4 (b) p= 4, q= 0 (c) p= 3/2,
    q= 0
    (d) p= 1, q= 0

  2. If p is the length of the
    perpendicular drawn from the origin to


the line^ , then which one of the


following is correct?


(a) (b) (c)


(d)


  1. What is the equation of the line
    joining the origin with the point of
    intersection of the lines 4x + 3y= 12
    and 3x + 4y= 12?
    (a) x + y= 1 (b) x – y= 1 (c) 3y= 4x (d)
    x = y

  2. If the sum of the squares of the
    distances of the point (x, y) from the
    points (a, 0) and (-a, 0) be , then
    which one of the following is correct?
    (a) (b)
    (c) (d)

  3. What is the equation of the line
    passing through (2, -3), and parallel to
    Y-axis?
    (a) Y= -3 (b) Y= 2 (c) X= 2 (d) X= - 3

  4. Two straight lines x – 3y – 2= 0 and
    2x – 6y – 6= 0
    (a) never intersect (b) intersect at a
    single point (c) intersect at infinite
    number of points (d) intersect at more
    than one points [but finite number of
    points]

  5. If (a, 0), (0, b) and (1, 1) are
    collinear, what is (a + b – ab) equal to?
    (a) 2 (b) 1 (c) 0 (d) - 1

  6. What is the equation to the straight
    line joining the origin to the point of
    intersection of the lines^ and


?^
(a) x + y= 0 (b) x + y + 1= 0 (c) x – y =
0 (d) x + y + 2= 0
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