NDA MATHS QUESTION BANK

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passing through the point (2, 4) is:
(a) 4x – y – 4= 0 (b) 2x + y – 8= 0 (c) x



  • y - 6= 0 (d) x + 2y – 10= 0



  1. The line^ = 1 cuts the x-axis at P.


The equation of the line through P
perpendicular to the given line is:
(a) x + y= ab (b) x + y= a + b (c) ax +
by=
(d) bx + ay=



  1. The value of λ for which the lines 3x



  • 4y= 5, 5x + 4y= 4 and λx + 4y= 6 meet
    at a point is:
    (a) 2 (b) 1 (c) 4 (d) 3



  1. If (-4, 5) is one vertex and 7x – y +
    8= 0 is one diagonal of a square, then
    the equation of second diagonal is:
    (a) x 3y= 21 (b) 2x – 3y= 7 (c) x + 7y=
    31 (d) 2x + 3y= 21

  2. The perpendicular distance
    between two parallel lines 3x + 4y -6=
    0 and 6x + 8y +7= 0 is:


(a)^ unit (b)^ unit (c)^ unit (d)^


unit



  1. The lines and^ = 1,


where p ≠ -q are:
(a) parallel for all values of p and q
(b) perpendicular for all values of p and
q (c) not parallel and meet at


. ( )/ (d) not parallel and meet


at ( )



  1. The line 3x + 4y – 24= 0 cuts the x-
    axis at A and y-axis at B. The incentre of


the triangle OAB, where O is the origin,
is at:
(a) (2, 2) (b) (3, 3) (c) (4, 3) (d) (3, 4)


  1. The points (3, 4) and (2, -6) lie on
    opposite sides of which one of the
    following lines?
    (a) 10x – y= 26 (b) 5x + 3y= -9 (c) 3x –
    4y= 8 (d) x – y= 10

  2. Which one of the following is the
    reflection of the point (4, 3) on the line
    x + y= 0?
    (a) (-4, 3) (b) (-3, -4) (c) (-3, 4) (d) (4,











  1. Which one of the following is the
    orthocenter of the triangle whose sides
    are x= 0, y= 1, and x + y – 2= 0?
    (a) (1, 1) (b) (0, 1) (c) (-1, 0) (d) (0, -







  1. What are the co-ordinates of the
    centroid of the triangle whose sides are
    x= 0, y= 0, x + y= 2?
    (a) (0, 0) (b) (0, 2) (c).^ / (d).^ /

  2. If the mid-point of the section of a
    straight line intercepted between the
    axes is (1, 1), then what is the equation
    of this line?
    (a) 2x + y= 3 (b) 2x – y= 1 (c) x – y= 0
    (d) x + y= 2

  3. What is the equation of the line
    passes through (4, -5) and is parallel to
    the line 3x + 4y + 5= 0?
    (a) 3x – 4y – 32= 0 (b) 3x + 4y + 8= 0
    (c) 4x – 3y – 31= 0 (d) 3x + 4y – 8= 0

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