MHT CET questions
29293 published questions with worked solutions.
- The value of f(0), if f(x) = x 2x 3x 5x is continuous at x = 0 is
- f(x) = cases 5^ x - 1 2 - x , & x 2 [1mm] 5, & x = 2 cases at x = 2 is
- The function f(x) = x^3 + x^2 - 16x + 20 x - 2 is not defined at x = 2. In order to make f(x) continuous at x = 2, the value of...
- If f(x) is continuous and f ( 9 2 ) = 2 9 , then _ x 0 f ( 1 - 3x x^2 ) is equal to
- If f(x) = cases (1 + 2x)^ 1/x , & for x 0 e^2, & for x = 0 cases , then
- If f(x) = cases x + a 2 x, & 0 < x < 4 2x x + b, & 4 x 2 a 2x - b x, & 2 < x cases is continuous at x = 4 , then a - b is equal to
- For what value of k, function f(x) = cases k x - 2x , & if x 2 [1mm] 3, & if x = 2 cases is continuous at x = 2 ?
- For what value of k, f(x) = cases 2^ x+2 - 16 4^x - 16 , & x 2 k, & x = 2 cases is continuous at x = 2?
- For what value of k, the function f(x) = cases x |x| + 2x^2 , & x 0 k, & x = 0 cases is continuous at x = 0?
- The set of points of discontinuity of the function f(x) = _ n (2 x)^ 2n 3^n - (2 x)^ 2n is given by
- The function f(x) = ( 2x)^ ^2 2x is not defined at x = 4 . The value of f( /4), so that f is continuous at x = /4, is
- The values of a, b and c which make the function f(x) = cases (a + 1)x + x x , & x < 0 [1mm] c, & x = 0 [1mm] x + bx^2 - x bx^...
- If y = 1 t^2 - t - 6 and t = 1 x - 2 , then the values of x, then which make the function y discontinuous are?
- Let f(x) = cases ^2 x - ^2 x - 1 x^2 + 4 - 2 , & x 0 [1mm] a, & x = 0 cases , then the value of a in order that f(x) may be...
- Let f(x) = cases 1 - 4x x^2 , & if x < 0 [1mm] a, & if x = 0 [1mm] x 16 + x - 4 , & if x > 0 cases for what value of a, f is...
- _ x 2 1 - ( x 2 ) (1 - x) 1 + ( x 2 ) ( - 2x)^3 is equal to
- If f(x) = 2x + A x + B x x^3 is continuous at x = 0, then the values of A, B and f(0) are
- f(x) = cases |x| + 3, & if x -3 -2x, & if -3 < x < 3 6x + 2, & if x 3 cases is
- The function f given by f(x) = cases e^ 1/x - 1 e^ 1/x + 1 , & if x 0 [1mm] 0, & if x = 0 cases is
- Which of the following is not continuous for all x?