+91-8076753736 support@wiredfaculty.com

Sponsor Area

Complex Numbers And Quadratic Equations

Question

Wired Faculty App

The conjugate of a complex number is $fraction numerator 1 over denominator straight i minus 1 end fraction$ . Then the complex number is

$fraction numerator negative 1 over denominator straight i minus 1 end fraction$
$fraction numerator 1 over denominator straight i plus 1 end fraction$
$fraction numerator negative 1 over denominator 1 plus straight i end fraction$
$fraction numerator 1 over denominator 1 plus straight i end fraction$

Solution

C.

fraction numerator negative 1 over denominator 1 plus straight i end fraction

Some More Questions From Complex Numbers and Quadratic Equations Chapter

If the roots of the equation bx²+ cx + a = 0 be imaginary, then for all real values of x, the expression 3b²x² + 6bcx + 2c² is

The quadratic equations x² – 6x + a = 0 and x² – cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

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

If the cube roots of unity are 1, ω, ω² then the roots of the equation (x – 1)³+ 8 = 0, are

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

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation