If α,β are the roots of x²+px+q=0 and γ,δ are the roots of x²+px+r=0, then

$$ \left(\alpha -\gamma \right) \left(\alpha -\delta \right)/\left(\beta -\gamma \right) \left(\beta -\delta \right) =$$

1) 1

2) q

3) r

4) q + r

If a_ij = 0(i≠j) and aij=2(i=j) then the matrix A=[aij]_n×n is a _______ matrix

1) unit
2) null
3) scalar
4) skew symmetric

The number of solutions of the equation 6cos⁵θ  – 6cos⁴θ – 5cos³θ + 5cos²θ + cosθ – 1 = 0, where 0 < q < 360° is-

1)  2
2) 4
3) 6
4) 8

Let  S _k be the sum of an infinite GP series whose first term k is k and common  ratio is k/(k + 1) (k> 0). Then, the value of

1) log_e 4
2) log_e 2 – 1
3) 1 - log_e 2
4) 1 - log_e 4

If the mean of a binomial distribution is $$25$$, then its standard deviation lies in the interval given below:

1) $$[0,5)$$
2) $$(0,5]$$
3) $$[0,25)$$
4) $$(0,25]$$

Let α and β be the roots of equation x² – 6x – 2 = 0.
 

is equal to

1) – 6
2) 3
3) – 3
4) 6

The number of solutions of the equation $$z^2+\overline {z}=0$$ is

1) 4
2) 2
3) 8
4) 6

Let O be centre, S, S' be foci of hyperbola. If tangent at any point P on hyperbola cuts asymptotes at M and N then OM + ON =

1)  |SP - S'P|
2)  SP + S'P
3) SS'
4) distance between vertices

If heads means one and tail means two, then coefficients of quadratic equation $$a{x}^{2}+bx+c=0$$ are chosen by tossing three fair coins. The probability that roots of the equation are imaginary is

1) $$\displaystyle\frac { 5 }{ 8 } $$
2) $$\displaystyle\frac { 3 }{ 8 } $$
3) $$\displaystyle\frac { 7 }{ 8 } $$
4) $$\displaystyle\frac { 1 }{ 8 } $$

The value of    

1) 1/ 30 
2) 0
3) 1/4
4) 1/5