## Complex Number and Quadratic Equations Quiz-23

Complex numbers and quadratic equations is a segment of maths that deals with crucial theorems and concepts along with various formulae. It comprises of linear and quadratic equations along with roots related to the complex number's set (known as complex roots)..

Q1.  If both roots of the equation ax2+x+c-a=0 are imaginary and c>-1, then
•  3a>2+4c
•  3a<2+4c
•  c<a
•  None of these
Solution
Q2. Let Î±,Î² be the roots of x2-x+p=0 and Î³,Î´ be roots of x2-4x+q=0. If Î±,Î²,Î³,Î´ are in G.P., then the integral values of p and q, respectively are
•  -2,-32
•  -2,3
•  -6,3
•  -6,-32
Solution

Q3. If Î±,Î² be the roots of the equation ax2+bx+c=0, then value of (aÎ±2+c)/(aÎ±+b)+(aÎ²2+c)/(aÎ²+b) is
•  (b(b2-2ac))/4a
•  (b2-4ac)/2a
•  b(b2-2ac)/(a2 c)
•  None of these
Solution

Q4. Number of solutions of the equation z3+[3(z ̅ )2 ]/|z|=0 where z is a complex number is
•  2
•  3
•  6
•  5
Solution

Q5. Given z is a complex number with modulus 1. Then the equation [(1+ia)/(1-ia)]4=z has
•  All roots real and distinct
•  Two real and two imaginary
•  Three roots real and one imaginary
•  One root real and three imaginary
Solution

Q6. If the equation z4+a1 z3+a2 z2+a3 z+a4=0, where a1, a2, a3, a4 are real coefficients different from zero, has a purely imaginary root, then the expression a3/(a1 a2)+(a1 a4)/(a2 a3) has the value equal to
•  0
•  1
• -2
•  2
Solution

Q7. Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. Then n must be of the form
•  4k+1
•  4k+2
•  4k+3
•  4k
Solution

#### Written by: AUTHORNAME

AUTHORDESCRIPTION

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: Complex Numbers and Quadratic Equations-Quiz-23