For what values of a, does the equation `ax^2 -(a + 1)x + 3 = 0`, have roots lying between 1 and 2.

For what values of 'a' does the quadratic equation x^(2) - ax + 1 = 0 not have real roots ?

For what values of 'a' does the quadratic equation x^(2)-ax+1=0 not have real roots?

For what values of m does the equation, mx^(2) + (3x-1)m + 2x + 5 = 0 have equal roots of opposite sign ?

By giving a counter example, show that the following statements are not true. The equation x^(2) - 1 = 0 does not have a root lying between 0 and 2.

By giving a counter example, show that the following statement is not true:- q: The equation x^2 -1 = 0 does not have a root lying between 0 and 2.

By giving counter examples , show that the equation x^2 -1 =0 does not have any root lying between 0 and 2 are not true:

By giving a counter example, show that the following statements are not true q: The equation x^2-1=0 does not have a root lying between 0 and 2.

By giviing a counter example, show that the following statements are not ture. q : The equations x^(2) - 1 =0 does not have a root lying between 0 and 2.

By giving a counter example, show that the following statement are not true : The equation x^(2) - 4 = 0 does not have a root lying between 0 and 3.

By giving a counter example, show that the following statements are not true. (ii) q: The equation x^(2) - 1 = 0 does not have a root lying between 0 and 2.