Home
Class 12
MATHS
IF a^2=5a-3 and b^2=5b-3, (aneb), find t...

IF `a^2=5a-3` and `b^2=5b-3`, (`aneb`), find the quadratic equation whose roots are `a/b` and `b/a`.

Text Solution

Verified by Experts

The correct Answer is:
0
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Multiple Choice type question)|20 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

Find the quadratic equation whose one of the root is 2+sqrt5 .

Find the quadratic equation whose roots are the cubes of the roots of x^2-4x+3=0 .

Knowledge Check

  • If alpha,beta are the roots of the quadratic equation x^2+ax+b=0 , (bne0) , then the quadratic equation whose roots are alpha-1/beta,beta-1/alpha is

    A
    `ax^2+a(b-1)x+(a-1)^2=0`
    B
    `bx^2+a(b-1)x+(b-1)^2=0`
    C
    `x^2+ax+b=0`
    D
    `abx^2+bx+a=0`

  • If 2a+3b+6c=0 (a,b,cinR) , then the quadratic equation ax^2+bx+c =0 has

    A
    at least one root in [0,1]
    B
    at least one root in (-1,1]
    C
    at least one root in [0,2]
    D
    none of the above

    • Similar Questions

    Explore conceptually related problems

    Form the quadratic equation,one of whose root is 2+ sqrt3

    If alpha, beta are the roots of the quadratic x^(2)+ax+b=0, (b ne 0) , then the quadratic equation whose roots are alpha - (1)/(beta), beta-(1)/(alpha) is

    If a cos theta+ b sin theta= c then find the quadratic equation whose root are sin^(2) alpha and sin^(2) beta

    IF 3a^2=4a-5 and 3b^2=4b-5 where a ne b, find the value of a^2+b^2 .

    if a=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose roots are alpha=a+a^2+a^4 and beta=a^3+a^5+a^6 .

    If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

    Home
    Profile