NDA MATHS QUESTION BANK

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  1. If x= cos t, y= sin t, then what is^


(^)
equal to?
(a) (b) (c) - (d) -



  1. What is the derivative of f(x)= x| |?
    (a) | |+x (b) 2x (c) 2| | (d) - 2 | |

  2. If y= x + , then what is^


(^)
equal
to?
(a) (b) -
( )^ (c) -^
( )^ (d) -^
( )^



  1. If y= ( ⁄^ ) ( ⁄^ )


( ⁄^ ), then what is^ equal to?


(a) 1 (b) – 1 (c) x (d) ⁄^



  1. If y= log √ , then what is the


value of^ at x=^?


(a) 0 (b) – 1 (c)^ (d) 1



  1. What is the derivative of x with
    respect to x?
    (a) x (b) x (c) – 1 (d) 1

  2. If x= k(Ѳ + sin Ѳ) and y= k(1 + cos
    Ѳ), then what is the derivative of y with
    respect to x at Ѳ= ⁄?
    (a) – 1 (b) 0 (c) 1 (d) 2

  3. If √ + √ = 2, then what is^ at y=


1 equal to?
(a) 5 (b) 4 (c) 2 (d) - 1



  1. If x= cos 2t and y= t, then what


is^


(^)
equal to?^
(a) 0 (b) sin (2t) (c) – cos (2t) (d) -
25. If y= (^). /, then what is^
equal to?
(a) (b) - (c) (d)



  1. If x= , y= , then what is^


(^)
equal
to?
(a) 1 (b) (c) (d)^



  1. What is the differentiation of x
    with respect to log x?
    (a) 0 (b) 1 (c)^ (d) x

  2. If + xy= e, then what is the value
    of^


(^)
at x= 0?^
(a) (b) (c) e (d) 1



  1. If √ + √ = a, then what
    is^ equal to?


(a) √( )( ) (b) √^
(c)

√^
(d) None of these


  1. If x= log t and y= - 1, then what is


at t=1 equal to?^
(a) 2 (b) 3 (c) – 4 (d) 4


  1. If f(x)= and g(x)= log x, then what
    is the value of (gof)’ (x)?
    (a) 0 (b) 1 (c) e (d) None of these

  2. If f(x)= tan x + , then
    what is the value of f ‘ (0)?
    (a) – 2 (b) – 1 (c) 0 (d) 3

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