Recent questions in Complex Numbers and Quadratic Equations

$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.The common root is :

asked Apr 15, 2014 by sreemathi.v

1 answer

The set of values of 'a' for which roots of equation $3x^2+2x+(a-1)a=0$ are of opposite sign

asked Apr 15, 2014 by sreemathi.v

1 answer

$\sin \theta$ and $\cos\theta$ are roots of equation $ax^2+bx+c=0$ then,

asked Apr 15, 2014 by sreemathi.v

1 answer

Roots of equation $x^2+px-q=0$ are $\tan 30^{\large\circ}$ and $\tan 15^{\large\circ}$ ,then value of $2-q-p$ is :

asked Apr 15, 2014 by sreemathi.v

1 answer

If one root of $(a^2-5a+3)x^2+(3a-1)x+2=0$ is double the other,then the value of a is :

asked Apr 15, 2014 by sreemathi.v

1 answer

If one root of the equation $8x^2-6x-k-3=0$ is square of other,then value of $k$ is

asked Apr 14, 2014 by sreemathi.v

1 answer

Values of $\lambda$ for which $(\lambda^2-5\lambda+6)x^2+(\lambda-3\lambda+2)x+\lambda^2-4=0$ is an identity in x is:

asked Apr 14, 2014 by sreemathi.v

1 answer

$\alpha^2=5\alpha-3,\beta^2=5\beta-3\quad(\alpha\neq \beta)$ ,then the equation whose roots are $\large\frac{\alpha}{\beta}$ and $\large\frac{\beta}{\alpha}$ is :

asked Apr 14, 2014 by sreemathi.v

1 answer

The equation whose roots A.M=9 and G.M=4 is

asked Apr 14, 2014 by sreemathi.v

1 answer

Roots of equation $(b-c)x^2+(c-a)x+(a-b)=0$ are

asked Apr 14, 2014 by sreemathi.v

1 answer

Number of roots of equation $x-\large\frac{2}{x-1}$ $=1-\large\frac{2}{x-1}$ is

asked Apr 14, 2014 by sreemathi.v

1 answer

If $\alpha,\beta$ are the roots of $ax^2+bx+c=0$ then equation whose roots are $2+\alpha,2+\beta$ are

asked Apr 14, 2014 by sreemathi.v

1 answer

Roots of the equation $12x^2+mx+5=0$ are in the ratio $3 : 2$ ,then $m$ equals

asked Apr 14, 2014 by sreemathi.v

1 answer

If $x$ is real, $\large\frac{x^2+3yx-71}{x^2+2x-7}$ cannot lie between

asked Apr 14, 2014 by sreemathi.v

1 answer

Range of $y=\large\frac{x+2}{2x^2+3x+6}$ if $x$ is real is :

asked Apr 14, 2014 by sreemathi.v

1 answer

The range of $y=\large\frac{x^2-x+1}{x^2+x+1}$ if $x$ is real

asked Apr 14, 2014 by sreemathi.v

1 answer

If $ax^2-bx+5=0$ does not have two distinct real roots,then minimum value of $5a+b$ is

asked Apr 14, 2014 by sreemathi.v

1 answer

$\alpha,\beta$ are roots of equation $ax^2+bx+c=0$ .Equation whose roots are $\large\frac{1-\alpha}{\alpha}$ and $\large\frac{1-\beta}{\beta}$ are

asked Apr 14, 2014 by sreemathi.v

1 answer

Find the real numbers x and y if $\;(x-iy)(3+5i)\;$ is the conjugate of $\;-6-24i$

asked Apr 14, 2014 by yamini.v

1 answer

Find the modulus and argument of the complex number $\;\large\frac{1+2i}{1-3i}$

asked Apr 14, 2014 by yamini.v

1 answer