Math Chapter Wise question with answer

Q01 The value of C for which the function (())) 3 9x 3sin3x C x 0 f x 5x x 0 − = ≠ = is continuous at x = 0, is English · PGT 2010 Q02 Let (()) 3 x 1 acosx bsinx f(x),x 0,f(0) 1 x + − = ≠ = ≠ = ≠ = ≠ = if f(x) is continuous at x=0, a and b are given... English · PGT 2002 Q03 The function x a 2 sinx 0 x 4 f(x) 2xcotx b, x 4 2 acos2x bsinx, x 2 π + ≤ < + ≤ < + ≤ < + ≤ < π = + ≤ = + ≤ = + ≤... English · TGT 2010 Q04 If 2 1 k 1 k, () 1 0 x,0 1 2 3 2 + − − = − ≤ < ≤ + − x x f x x x x x is continuous at x = 0, then k equals: English · EMRS PGT-2023 Q05 If a function on R is defined by f(x) = 1 when x is rational and f(x) = –1 when x is irrational, then f(x) is disco... English · OAVS TGT 2018 Q06 If Signum function () x f x | x | = when x 0 and f(x)=0 when x = 0, then it is discontinuous at: English · OAVS TGT 2018