Math Chapter Wise question with answer

Q01 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 Q02 For x > 1, if (2x)2y = 4e2x–2y, then (1 + loge 2x)2 d y x is equal to: English · EMRS PGT-2023 Q03 If x loge (loge x) – x2 +y2 = 4 (y > 0), then dy dx at x = e is equal to: English · EMRS PGT-2023 Q04 2 d log x +1 dx equals English · EMRS TGT-2023 Q05 If y = sec(tan-1 x), then dy dx at x = 1 is equal to: English · KVS PGT 2023 Q06 2 x 0 tan 3x 2x lim 3x sin x → − is equal to: English · OAVS TGT 2022