MHT CET questions
29293 published questions with worked solutions.
- Function f(x) = cases x - 1, & x < 2 2x - 3, & x 2 cases is a continuous function
- For the function f(x) = cases x^3 - a^3 x - a , & x a b, & x = a cases if f(x) is continuous at x = a, then b is equal to
- If the function f : R R given by f(x) = cases x + a, & if x 1 3 - x^2, & if x > 1 cases is continuous at x = 1 then a is equal to
- Let f(x) = (e^x - 1)^2 ( x a ) (1 + x 4 ) for x 0 and f(0) = 12. If f is continuous at x = 0, then the value of a is equal to
- If f(x) = cases mx + 1, & x 2 x + n, & x > 2 cases is continuous at x = 2 , then
- Let f(x) = cases x 5x , & x 0 k, & x = 0 cases , if f(x) is continuous at x = 0, then k is equal to
- If f(x) = cases 1 - x x , & x 0 k, & x = 0 cases is continuous at x = 0, then the value of k is
- If f(x) = cases 1 + kx - 1 - kx x , & 1 x < 0 [1mm] 2x^2 + 3x - 2, & 0 x 1 cases is continuous at x = 0, then k is equal to
- If f(x) = cases x^k ( 1 x ), & x 0 0, & x = 0 cases is continuous at x = 0, then
- If f(x) = 1 + x - 1 - x x , then the value of f at x = 0, so that f is continuous everywhere, is
- The value of f(0), so that the function f(x) = 2x - ^ -1 x 2x + ^ -1 x is continuous at each point in its domain and is equal to
- If f(x) is continuous in [0, 1] and f ( 1 2 ) = 2, then _ n f ( n 2 n + 1 ) is equal to
- If f(x) = cases x^2 1 x , & x 0 0, & x = 0 cases , then
- The set of points of continuity of the function f(x) = 1 2 - ^2 x is
- The function f(x) = [x], where [x] denotes the greatest integers x, is
- If the function f(x) = cases 1 - x x^2 , & x 0 k, & x = 0 cases is continuous at x = 0, then the value of k is
- If f(x) = 3x + 4 x x is to be defined to make continuous at x = 0, then the defined function should be
- f(x) = cases x^2 2 , & if 0 x 1 [1mm] 2x^2 - 3x + 3 2 , & if 1 < x 2 cases is
- If f(x) = cases x^3 + x^2 - 16x + 20 (x - 2)^2 , & x 2 [1mm] k, & x = 2 cases is continuous at x = 2, then the value of k is
- If f : R A is defined by f(x) = cases 2 x - 2x 2x x , & if x 0 [1mm] a, & if x = 0 cases then the value of a so that f is...