The roots of the equation x4 + x3 - 4x2 + x + 1 = 0 are diminished by h so that the transformed equation does not contain x2 term. If the values of such h are α and β, then 12(α - β)2 =
35
25
105
115
If A is a square matrix of order 3, then |Adj(Adj A2)| =
Match the following List -I (Complex) List II (Spin only Magnetic Moment)
List -I (Complex) | List II (Spin only Magnetic Moment) | ||
A) | [CoF6]3- | I) | 0 |
B) | [Co(C2O4)3]3- | II) | √24 |
C) | [FeF6]3+ | III) | √8 |
D) | [Mn(CN)6]3- | IV) | √35 |
V) | √15 |
the correct answer is:
If (h,k) is the image of the point (3,4) with respect to the line 2x - 3y -5 = 0 and (l,m) is the foot of the perpendicular from (h,k) on the line 3x + 2y + 12 = 0, then lh + mk + 1 = 2x - 3y - 5 = 0.
If a line ax + 2y = k forms a triangle of area 3 sq.units with the coordinate axis and is perpendicular to the line 2x - 3y + 7 = 0, then the product of all the possible values of k is
A polynomial that has two roots or is of degree 2 is called a quadratic equation. The general form of a quadratic equation is y=ax²+bx+c. Here a≠0, b, and c are the real numbers.
Consider the following equation ax²+bx+c=0, where a≠0 and a, b, and c are real coefficients.
The solution of a quadratic equation can be found using the formula, x=((-b±√(b²-4ac))/2a)
Read More: Nature of Roots of Quadratic Equation