If roots of the equation ax^(2)+2(a+b)x+...

If roots of the equation `ax^(2)+2(a+b)x+(a+2b+c)=0` are imaginary then roots of the equation `ax^(2)+2bx+c=0` are

A

rational

B

irrational

C

equal

D

complex

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

QUADRATIC EQUATION
MOTION|Exercise EXERCISE -2 (MCQ)|9 Videos
QUADRATIC EQUATION
MOTION|Exercise EXERCISE -3 (SUBJECTIVE)|36 Videos
QUADRATIC EQUATION
MOTION|Exercise EXERCISE -1 (OBJECTIVE PROBLEMS)|30 Videos
PERMUTATION AND COMBINATION
MOTION|Exercise EXAMPLE|23 Videos
SEQUENCE & SERIES
MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=0 then roots of the equation 3ax^(2)+4bx+5c=0 are

If a,b,c are in A.P. then the roots of the equation ax^(2)+2bx+c=0 are

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 then the roots of the equation (a+b+c)x^(2)-(b+2c)x+c=0 are

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, then what are the roots of the equation cx^(2) + bx + a = 0 ?

If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and alpha +h, beta + h are the roots of the equation Ax^(2) +2Bx + C=0 then

If the roots of the equation ax^(2)+bx+c=0 are the reciprocals of the roots of the equation px^(2)+qx+r=0 then

If alpha, beta be the roots of the equation ax^2+bx+c=0 then the roots of the equation ax^2+blambdax+clambda^2=0 are

Let a,b and c be three real and distinct numbers.If the difference of the roots of the equation ax^(2)+bx-c=0 is 1, then roots of the equation ax^(2)-ax+c=0 are always (b!=0)

if the difference of the roots of the equation x^(2)+ ax +b=0 is equal to the difference of the roots of the equation x^(2) +bx +a =0 ,then

MOTION-QUADRATIC EQUATION-EXERCISE -2 (OBJECTIVE PROBLEMS)

Consider the equation x^(2) + 2x - n = 0m where n in N and n in [5, 10...
Text Solution
|
If one root of the equation x^2+ px+ 12=0 is 4, while the equation x^...
Text Solution
|
If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then ...
Text Solution
|
Roots of the equation (a+b-c)x^(2)-2ax+(a-b+c)=0, (a,b, c, epsilonQ) a...
Text Solution
|
If the roots of the equation 6x^2-7x + k=0 are rational then value of ...
Text Solution
|
If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...
Text Solution
|
If a ,b ,p ,q are nonzero real numbers, then how many oon roots would ...
Text Solution
|
If one of the factors of ax^(2)+bx+c and bx^(2)+cx+a is common then
Text Solution
|
If two roots of the equation x^3-px^2+qx-r=0 are equal in magnitude bu...
Text Solution
|
If condition for a^(2)x^(4)+bx^(3)+cx^(2)+dx+f^(2) may be perfect squa...
Text Solution
|
If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the leas...
Text Solution
|
If y =-2x^2-6x + 9, then (A) maximum value of y is -11 and it occur...
Text Solution
|
Consider y=(2x)/(1+x^2), where x is real , then the range of expressi...
Text Solution
|
The diagram shows the grap of y=ax^(2)+bx+c. Then
Text Solution
|
All the values of m for whilch both the roots of the equation x^2-2m x...
Text Solution
|
If both the roots of the quadratic equation x^2-2kx+k^2+k-5=0 are less...
Text Solution
|
Let a,b,c be real if ax^(2)+bx+c=0 has two real roots alpha and beta w...
Text Solution
|
If both roots of the quadratic equation x^(2)+x+p=0 exceed p where p e...
Text Solution
|
for all x in R if mx^2-9mx+5m+1gt0 then m lies in the interval
Text Solution
|
If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 i...
Text Solution
|