NTSE Stage 2 SAT 2019 Exam Question Paper

© examsiri.com

Question : 44 of 100

Marks: +1, -0

If a and p are the roots of the equation

3x^2-5x+3=0

then the quadratic equation whose roots are

α^2β

and

αβ^2

is

$3x^2-5x+3=0$
$3x^2—8x+5=0$
$3x^2-8x+3=0$
$3x^2-5x-3=0$

Solution:

∵

3x^2-5x+3=0

and

α

&

β

are its roots

∴α+β=\;\;{5}/{3}

and

αβ=1

∴ equation whose roots are

α^{2}β

&

αβ^{2}

is

x^{2}-(α^{2}β+β^{2}α)x+(αβ^{2}-α^{2}β)=0

or

x^{2}-[αβ(α+β)]x+(αβ)^{3}=0

or

x^{2}-\;\;{5}/{3}x+1=0\;\text"or"\;3x^{2}-5x+3=0

© examsiri.com

Go to Question:

Prev Question

Next Question