MHT CET questions
29293 published questions with worked solutions.
- Let f(x) = x^3 + x be function and g(x) = cases f(|x|), & x 0 f(-|x|), & x < 0 cases then
- The jump of the function at the point of the discontinuity of the function f(x) = 1 - k^ 1/x 1 + k^ 1/x (k > 0) is
- If the function f(x) = cases x + a^2 2 x, & 0 x < 4 x x + b, & 4 x < 2 b 2x - a x, & 2 x cases is continuous in the interval [0,...
- If f(x) = cases x, & if x is rational -x, & if x is irrational cases then
- If f(x) = cases ( x + 3 x)^ 5 cosec x , & x ( - 2 , 2 ) - 0 , & x = 0 cases is continuous at x = 0, then will be
- Let f(x) = cases 1 + x^2 , & x < 3 3 x - 1, & 3 x < 4 [x], & 4 x < 5 |1 - x|, & x 5 cases , where [x] is the greatest integer x....
- The value of f(0), so that the function f(x) = a^2 - ax + x^2 - a^2 + ax + x^2 a + x - a - x becomes continuous for all x, is...
- The function f(x) = x - |x - x^2| is
- For the function f(x) = _e(1 + x) + _e(1 - x) x to be continuous at x = 0, the value of f(0) is
- If f : R R given by f(x) = cases 2 x, & if x - 2 a x + b, & if - 2 < x < 2 1 + ^2 x, & if x 2 cases is a continuous function on...
- If the function f(x) = cases x^2 - (k + 2)x + 2k x - 2 , & for x 2 [1mm] 2, & for x = 2 cases is continuous at x = 2, then k is...
- If the function f(x) = cases x, & if x 1 cx + k, & if 1 < x < 4 -2x, & if x 4 cases is continuous everywhere, then the values of...
- If f(x) = cases 3 x 5x , & x 0 [1mm] 2k, & x = 0 cases is continuous at x = 0, then the value of k is equal to
- If f(x) = cases ax + 3, & x 2 a^2x - 1, & x > 2 cases , then the values of a for which f is continuous for all x are
- Which of the following function is not continuous at x = 0?
- If the function f(x) = (1 + ax) - (1 - bx) x , x 0 is contintious at x = 0, then
- If f(x) = cases x^2 + , & x 0 2 x^2 + 1 + , & x < 0 cases is continuous at x = 0 and f ( 1 2 ) = 2, then ^2 + ^2 is
- If f(x) = e^ x^2 - x x^2 , for x 0 is continuous at x = 0, then value of f(0) is
- If the function f(x) = [ ( 4 + x ) ]^ 1 x for x 0 is continuous at x = 0, then f(0) =
- The cellular micromolecules are