NDA MATHS QUESTION BANK

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  1. The equation x- has


how many real roots?
(a) 1 (b) 0 (c) 2 (d) ∞



  1. The solution set for the equation
    ⁄^ ⁄^ - 2=0
    (a) + (b) + (c)





    • (d) * +





  1. If are roots of equation -
    px+(p-1)=0 then for what value of ‘p’ ,
    the value of ( ) is minimum?
    (a) 0 (b) -1 (c) 1 (d) 2

  2. If sum of squares of roots of
    equation - ( )x-( )=0 is 5,
    find p


(a) 0 (b) -1 (c) 1 (d)^



  1. If roots of equation ( )
    ( ) ( ) are equal,
    then which is correct?
    (a) 2b= a+c (b) = ac (c)
    b+c= 2a (d) b= ac

  2. If x= 2+ ⁄^ + ⁄^ , then find
    6x
    (a) 1 (b) 2 (c) 3 (d) -
    2

  3. If product of roots of equation -
    5x+K=15 is -3, find K.
    (a) 12 (b) 15 (c) 16 (d)
    18

  4. Find p and q are roots of equation



  • px+q=0, find p and q respectively
    (a) 1, 0 (b) 0, 1 (c) -2, 0
    (d) -2, 1



  1. If √ is one of roots of equation


a +bx+c=0 then find a, b, c
respectively
(a) 6, -4, 1 (b) 4, 6, -1 (c) 3, -
2, 1 (d) 6, 4, 1



  1. If , β are roots of equation
    a bx+b=0, find √√^ √√ √√^
    (a) 0 (b) 1 (c) 2 (d)
    3

  2. If , β are roots of equation
    2 ( ) ( )=0
    find


(a) 2 (b) 2 (c) 2
(d)


  1. If , β are roots of equation
    +6x+1=0 find | |
    (a) 6 (b) 3√ (c) 4√
    (d) 12

  2. Find √ √ √
    (a) 5 (b) √ (c) 1 (d)
    5 ⁄

  3. If , β are roots of equation
    a +bx+c=0, find (  )^
    ( )^
    (a) (b) (c)^ (d)

  4. For what value of ‘k’, the roots of
    equation (k+1) - 2(k-1)x+1=0 are real
    and equal?
    (a) 0 (b) -3 (c) 0 or 3
    (d) 0 or - 3

  5. If , β are roots of equation - 2x-


1=0 find ^


(a) - 2 (b) 0
(c) 30 (d) 34
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