Multiple Choice QuestionsIf the roots of the quadratic equation x2 + px + q = 0 are tan30° and tan15°, respectively then the value of 2 + q − p is
2
3
0
0
All the values of m for which both roots of the equations x2 − 2mx + m2 − 1 = 0 are greater than −2 but less than 4, lie in the interval
−2 < m < 0
m > 3
−1 < m < 3Â
−1 < m < 3Â
If the cube roots of unity are 1, ω, ω2 then the roots of the equation (x – 1)3 + 8 = 0, are
-1 , - 1 + 2ω, - 1 - 2ω2
-1 , -1, - 1
-1 , 1 - 2ω, 1 - 2ω2
-1 , 1 - 2ω, 1 - 2ω2
The value of α for which the sum of the squares of the roots of the equation x2 – (a – 2)x – a – 1 = 0 assume the least value is
1
0
3
3
If roots of the equation x2 – bx + c = 0 be two consectutive integers, then b2 – 4c equals
– 2
3
2
2
If the coefficient of x7Â 
in equals the coefficient of x-7 in
then a and b satisfy the relation
a – b = 1
a + b = 1
a/b =1
a/b =1
If z1 and z2 are two non-zero complex numbers such that |z1 + z2| = |z1| + |z2| then argz1 – argz2 is equal to
Ï€/2
-Ï€
0
0
If x is so small that x3 and higher powers of x may be neglected, then 
may be approximated as
 equal to
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