MHT CET questions
29293 published questions with worked solutions.
- The continuity of the function f, where f is defined by f(x) = cases -2, & if x -1 2x, & if -1 < x 1 2, & if x > 1 cases for
- The function f(x) = 9 - x^2 is continuous at
- The function f(x) = [x] is not continuous at which point in the interval [-1, 2)?
- Find the value of k, if f(x) is continuous at x = 0, where f(x) = cases xe^x + x 3x , & x 0 [1mm] k, & x = 0 cases
- If f(x) = ( 3x + 2 2 - 5x )^ 1 x , for x 0, is continuous at x = 0. Then f(0) is
- If f(x) = cases (1 + x) - (1 - x) x , & when x 0 [1mm] 3, & when x = 0 cases is
- The function f(x) = 2x^2 + 7 x^3 + 3x^2 - x - 3 is discontinuous
- The number of points at which the function f(x) = (|x - 1| + |x - 2| + x), where x [0, 4] is not continuous, is
- If f(x) = cases ax^2 + b, & 0 x < 1 4, & x = 1 x + 3, & 1 < x 2 cases then the value of (a, b) for which f cannot be continuous...
- The set of points of discontinuity of the function f(x) = |x| is
- If f(x) = 1 1 - x , then the points of discontinuity of the function f[f f(x) ] are
- The function f(x) = 2[ sgn (2x)] + 2 has
- Which of the following functions have finite number of points of discontinuity in R (where [.] represents greatest integer...
- The number or points at which the function f(x) = 1 x - [x] ([ ] denotes the greatest integer function) is not continuous, is
- If f(0) = 0 and f(x) = 1 (1 - e^ - x ) for x 0. Then, only one of the following statements on f(x) is true. That is f(x) is
- The function f(x) = cases 5^ x - e^ ( 2 - x ) x , & x 2 [2mm] 5 - e, & x = 2 cases has a ......... discontinuity at x = 2 .
- There is a root for the equation x^3 - x - 1 = 0 between
- If f(x) be a continuous function and g(x) be discontinuous, then
- The function y = 3 x - |x - 1| is continuous at
- At x = 3, f(x) = cases x^5 - 243, & if x 3 x^3 - 27, & if x = 3 cases is