Home
Class 12
MATHS
If the roots of x^(4)+qx^(2)+kx+225=0 ar...

If the roots of `x^(4)+qx^(2)+kx+225=0` are in arthmetic progression, then the value of `q`, is

A

`15`

B

`25`

C

`35`

D

`-50`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` Let the `4` roots be `x-3y`, `x-y`, `x+y`, `x+3y`
`"sum"=4x` and if `4x=0` then `4` roots are `-3y`, `-y`, `y`,`3y` and the product is `9y^(4)=225impliesy^(2)=5`.
The product taken two at a time is `-10y^(2)`
`implies q=-50`
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

It is known that the roots of the equation x^3-6x^2-4x+24=0 are in arithmetic progression. Find its roots.

Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be the roots of the equation x^2-18 x+B=0 . If p

If a and b are the roots of the equation x^(2)-kx+16=0 and satisfy a^(2)+b^(2)=32 then the value of k is …………… .

If the ratio of roots of x^(2)+bx+c=0" and "x^(2)+qx+r=0 is the same, then

If a and b are the roots of the equation x^2 - kx + 16 =0 satisfy a^2 + b^2 =32 , then the value of k is …………… .

If a and b are roots of the equation x^(2)-kx+16=0 and satisfy a^(2)+b^(2)=32 then the value of k is

If a and b are the roots of the equation x^(2)- kx + 9 = 0 and satisfy a^(2) + b^(2) = 18 then the value of k is

The roots of x^(2)+kx+k=0 are real and equal, find k.