If 1 is a multiple root of order 3 for the equation x4 - 2x3 + 2x - 1 = 0, then the other root is
0
- 1
1
2
The biquadratic equation, two of whose roots are , is
x4 - 4x3 + 5x2 - 2x - 2 = 0
x4 + 4x3 - 5x2 + 2x + 2 = 0
x4 + 4x3 - 5x2 + 2x - 2 = 0
x4 + 4x3 + 5x2 - 2x + 2 = 0
To remove the second term of the equation x4 - 8x3 + x2 - x + 3 = 0, diminish the roots of the equation by
1
2
3
4
Let a 0 and p(x) be a polynomial of degree greater than 2. If p(x) leaves remainders a and - a when divided respectively by x + a and x - a, then the remainder when p(x) is divided by x2 - a2 is:
x
- x
- 2x
2x
If the amplitude of z - 2 - 3i is , then the locus of z = x + iy is :
x + y - 1 = 0
x - y - 1 = 0
x + y + 1 = 0
x - y + 1 = 0
D.
x - y + 1 = 0
If w is a complex cube root of unity, then 225 + (3w + 8 w2)2 + (3w2 + 8w)2 is equal to
72
192
200
248
If (x - 2) is a common factor of the expressions x2 + ax + b and x2 + cx + d, then, is equal to
- 2
- 1
1
2
If the roots of the equation 4x3 - 12x2 + 11x + k = 0 are in arithmetic progression, then k is equal to
- 3
1
2
3