Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Functions question

2005 · Shift 0 · Q61
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2005 · Shift 0 · Q61

Functions question

2005 · Shift 0 · Q61

JEE MainMathematicsFunctionsMCQ+4 / −1
A real valued function f(x) satisfies the functional equation f(x - y) = f(x)f(y) - f(a - x)f(a + y) where a is given constant and f(0) = 1, f(2a - x) is equal to
  1. A
    - f(x)
  2. B
    f(x)
  3. C
    f(a) + f(a - x)
  4. D
    f(- x)
PreviousNext

More from Functions

  • The graph of the function y = f(x) is symmetrical about the line x = 2, then2004 · MCQ
  • The range of the function f(x) = 7−xPx−3​ is2004 · MCQ
  • If f:R→S, defined by f(x)=sinx−3​cosx+1, is onto, then the interval of S is2004 · MCQ
  • The domain of the function f(x)=9−x2​sin−1(x−3)​2004 · MCQ
  • The function f(x)=log(x+x2+1​), is2003 · MCQ
  • A function f from the set of natural numbers to integers defined by f(n)={2n−1​,whennisodd−2n​,whenniseven​ is2003 · MCQ
  • If f:R→R satisfies f(x + y) = f(x) + f(y), for all x, y ∈ R and f(1) = 7, then r=1∑n​f(r) is2003 · MCQ
  • Domain of definition of the function f(x) = 4−x23​+log10​(x3−x), is2003 · MCQ