Home
Class 12
MATHS
If the roots of the quadratic equation p...

If the roots of the quadratic equation `px^(2)+qx+r=0` are reciprocal to each other ,then the relation between p and r is

A

`rnep`

B

`r=p`

C

`r=q`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ARIHANT PUBLICATION JHARKHAND|Exercise Exaam Booster for Cracking Exam|25 Videos

  • NUMBER SYSTEM

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam|25 Videos

  • RATIONAL EXPRESSIONS

    ARIHANT PUBLICATION JHARKHAND|Exercise EXAM BOOSTER FOR CRACKING EXAM |22 Videos

Similar Questions

Explore conceptually related problems

If the roots of the quadratic equation 3x^(2)+5x+3(4p-1)=0 is reciprocal of each other. Find the value of p

If the roots of the equation px^(2)+qx+r=0 are in the ratio l:m then

Knowledge Check

  • If the roots of the quadratic equation px ^(2) + qx + r = 0 are reciprocal to each other, then the realtion between p and r is

    A
    `r ne p`
    B
    `r =p`
    C
    `r = q`
    D
    None of these

  • If roots of equation px^2 + qx + 3 = 0 are reciprocal, then

    A
    p= 3
    B
    q = 3
    C
    p+q = 0
    D
    p-q = 0

  • If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then

    A
    `2p^(3) = 9pq - 27r`
    B
    `2q^(3) = 9pq - 27 r`
    C
    `p^(3) = 9 pq - 27r`
    D
    `2p^(3) = 9 pq + 27r`

    • Similar Questions

    Explore conceptually related problems

    If p,q,r in R and the quadratic equation px^(2)+qx+r=0 has no real root,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 truth and lie are zeros of the polynomial px^(2)+qx+r , (p ne 0) and those zeros are reciprocal to each other, Find the relation between p and r .

    If sin theta and cos theta are the roots of the quadratic equation px^(2)+qx+r=0(p!=0), then which of the following relation holds good?

    If the roots of x^(3)+px^(2)+qx+r=0 are in GP find the relation between p,q and r

    Home
    Profile