MHT CET questions
29293 published questions with worked solutions.
- If f(x) = cases x x - 1 , & if x 1 [1mm] k, & if x = 1 cases is continuous at x = 1, then the value of k is
- If f(x) = 2 - x + 4 2x ; (x 0), is continuous function at x = 0, then f(0) equals
- If f(x) = cases [x] [x] + 1 , & for x > 0 [2mm] 2 [x] [x] , & for x < 0 [2mm] k, & at x = 0 cases where [x] denotes the greatest...
- The function f : R - 0 R given by f(x) = 1 x - 2 e^ 2x - 1 can be made continuous at x = 0 by defining f(0) as
- The value of k which makes f(x) = cases 1 x , & x 0 k, & x = 0 cases continuous at x = 0 is
- Let f : R R be defined by f(x) = cases 3x - x x^2 , & x 0 , & x = 0 cases . If f is continuous at x = 0, then is equal to
- If f(x) = cases 2x 5x , & when x 0 k, & when x = 0 cases is continuous at x = 0, then the value of k will be
- If f(x) = cases (e^ kx - 1)^2 x x^3 , & x 0 4, & x = 0 cases is continuous at x = 0, then k =
- The function 'f' is defined by f(x) = 2x - 1, of x > 2, f(x) = k if x = 2 and x^2 - 1, if x < 2 is continuous, then the value of...
- If f(x) = cases 1 - 4x x^2 , & when x < 0 [1mm] a, & when x = 0 [1mm] x (16 + x ) - 4 , & when x > 0 cases is continuous at x =...
- For the function f(x) = cases x^3 - a^3 x - a , & x a b, & x = a cases If f(x) is continuous x = a, then b is equal to
- If f(x) = 1 - x ( - 2x)^2 , when x 2 and f ( 2 ) = , then f(x) will be continuous function at x = 2 , when
- The function defined by f(x) = cases (x^2 + e^ 1 2 - x )^ -1 , & x 2 k, & x = 2 cases is continuous from right at the point x =...
- For the function f(x) = _e(1 + x) - _e(1 - x) x to be continuous at x = 0, the value of f(0), should be
- If f(x) = |x - 2|, then
- If f(x) = cases x^2 - 9 x - 3 , & if x 3 2x + k, & otherwise cases , is continuous at x = 3, then k =
- If f(x) = x^2 - 10x + 25 x^2 - 7x + 10 for x 5 and f is continuous at x = 5, then f(5) =
- If the function f(x) = cases ( x)^ 1 x , & x 0 k, & x = 0 cases is continuous at x = 0, then the value of k is
- f(x) = x ( /x) is continuous everywhere, then f(0) =
- If f(x) = cases x^2 + 3x - 10 x^2 + 2x - 15 , & when x -5 a, & when x = -5 cases is continuous at x = -5, then the value of 'a'...