Question

IF THE ROOTS OF THE EQUATION q^2x^2 + p^2x + r^2 = 0 ARE THE SQUARES OF THE ROOTS OF THE EQUATION qx^2 + px + r = 0 , THEN q,p,r ARE IN

A)A.P B)G.P

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Answer 1

Step-by-step explanation:

Equation px

2

+2qx+r=0 and qx

2

−2

pr

x+q=0 have real roots, then

b

2

−4ac≥0 for both equations

From first

4q

2

−4pr≥0⇒q

2

≥pr ...............(1)

and from second

4(pr)−4q

2

≥0 (for real root)

⇒pr≥q

2

...............(2)

Answer 2

Step-by-step explanation:

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