Home
Class 12
MATHS
In the given figure graph of y=p(x)=x^(4...

In the given figure graph of `y=p(x)=x^(4)+ax^(3)+bx^(2)+cx+d` is given

The product of all imaginery roots of `p(x)=(0)` is

A

`1`

B

`2`

C

`1//3`

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)` `1.2(alpha+ibeta)(alpha-ibeta)=p(0)=2implies(alpha+ibeta)(alpha-ibeta)=1`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE|Exercise Comprehension|12 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise Multiple Correct Answer|6 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise JEE Advanced Previous Year|4 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|12 Videos

Similar Questions

Explore conceptually related problems

The following figure shows the graph of f(x)= ax^(2)+ bx+c , find the sign of a, b and c .

Let p(x)=0 be a polynomial equation of the least possible degree, with rational coefficients having ""^(3)sqrt7 +""^(3)sqrt49 as one of its roots. Then product of all the roots of p(x)=0 is a. 56 b. 63 c. 7 d. 49

The following figure shows the graph of f(x) =ax^(2)+bx +c , then find the sign of values of a, b and c .

Find the condition that the roots of ax^3+bx^2+cx+d=0 are in H.P.

Find the sum of the squares of the roots of ax^4+bx^3+cx^2+dx+e = 0 , a ne 0 .

For the curve y = x^(3) given in figure draw, y = - x^(3)

The polynomial P(x)=x^(3)+ax^(2)+bx+c has the property that the mean of its roots, the product of its roots, and the sum of its coefficients are all equal. If the y -intercept of the graph of y=P(x) is 2 , The value of P(1) is

The polynomial P(x)=x^(3)+ax^(2)+bx+c has the property that the mean of its roots, the product of its roots, and the sum of its coefficients are all equal. If the y -intercept of the graph of y=P(x) is 2 , The value of b is

The curve y=ax^3 + bx^2 + cx + d has a point of inflexion at x=1 , then :