If m is chosen in the quadratic equation (m2 + 1) x2 – 3x + (m2 + 1) – McqOptions

MCQOPTIONS

1.	If m is chosen in the quadratic equation (m2 + 1) x2 – 3x + (m2 + 1)2 = 0 such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is:
A.	\(10\sqrt 5 \)
B.	\({\rm{\;}}8\sqrt 3 \)
C.	\(8\sqrt 5 \)
D.	\(4\sqrt 3 \)
Answer» D. \(4\sqrt 3 \)

Discussion

No Comment Found

Related MCQs

If the roots of the equation x2 + px + q = 0 are in the same ratio as those of the equation x2 + lx + m = 0, then which one of the following is correct?
If 5, 5r, 5r2 are the lengths of the sides of a triangle, then r cannot be equal to:
It is given that the roots of the equation x2 – 4x – log3 P = 0 are real. For this, the minimum value of P is
If c > 0 and 4a + c < 2b, then ax2 – bx + c = 0 has a root in which one of the following intervals?
If the roots of the equation x2 - nx + m = 0, Differ by 1, then
If α and β are the roots of x2 + x + 1 = 0, then what is \(\mathop \sum \limits_{j = 0}^3 \left( {{\alpha ^j} + {\beta ^j}} \right)\) equal to?
Consider the quadratic equation (c – 5) x2 – 2cx + (c – 4) = 0, c ≠ 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:
Let [x] denote the greatest integer function. What is the number of solutions of the equation x2 - 4x + [x] = 0 in the interval [0, 2]?
If cos α and cos β (0 < α < β < π) are the roots of the quadratic 4x2 – 3 = 0, then what is the value of sec α × sec β?
If (a2 + b2) x2 + 2(ab + bd) x + c2 + d2 = 0 has no real roots then