Home
Class 12
MATHS
The quadratic equation p(x)=0 with real...

The quadratic equation `p(x)=0` with real coefficients has purely imaginary roots. Then the equation `p(p(x))=0` has A. only purely imaginary roots B. all real roots C. two real and purely imaginary roots D. neither real nor purely imaginary roots

Promotional Banner

Topper's Solved these Questions

  • JEE (ADVANCED ) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 2|6 Videos
  • JEE (ADVANCED ) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 3|6 Videos
  • JEE (ADVANCED) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION-3|6 Videos

Similar Questions

Explore conceptually related problems

The product of purely imaginary roots of the equation x^(4)+x^(2)-2=0 is

" The number of imaginary roots of the equation x^(2)+7x+2=0

The quadratic equation ax^(2)+bx+c=0 has real roots if:

The product of purely imaginary roots of the equation x^4+x^2−2=0 is

Consider a quadratic equation az^(2)bz+c=0, where a,b and c are complex numbers. The condition that the equation has one purely imaginary root , is

If roots of the equation z^(2)+az+b=0 are purely imaginary then

The equation x^(5)+x^(4)+1=0 has (1) One real and four imaginary roots (2) Five real roots (3) Three real and two imaginary roots (4) Three real roots in which two are same and two imaginary roots

If a,b,c are non-zero real numbers and the equation ax^(2)+bx+c+i=0 has purely imaginary roots,then

p,q are cube roots of i,which are not purely imaginary,Then

If a+b+c=0, then the equation 3ax^(2)+2bx+c=0 has (i) imaginary roots (ii) real and equal roots (ii) real and unequal roots (iv) rational roots