Consider the quadratic equation `(c-3) x^2 - 2cx + (c - 2) = 0 , c ne 3` . Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the number of elements in S is:

Consider the quadratic equation (c - 5)x^(2) - 2cx + (c - 4) = 0, c ne 5 . Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the number of elements in S is

Consider the quadratic equation (c - 5)x^(2) - 2cx + (c - 4) = 0, c ne 5 . Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the number of elements in S is a. 11 b. 18 c. 10 d. 12

Consider the quadratic equation (c - 5)x^(2) - 2cx + (c - 4) = 0, c ne 5 . Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the number of elements in S is a. 11 b. 18 c. 10 d. 12

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

One root of the equation cosx-x+1/2=0 lies in the interval

Find all the values of 'a' for which both the roots of the equation (a - 2)x^2 - 2ax + a = 0 lies in the interval (-2,1) .

Find all the values of 'a' for which both the roots of the equation (a-2)x^(2)-2ax+a=0 lies in the interval (-2,1).