JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

Suppose

a

is an integer and

x_1

and

x_2

are positive real roots of

x^2+(2 a-1) x+a^2=0

, then value of

\left|\sqrt{x_1}-\sqrt{x_2}\right|

View answer and explanation

Correct option: A

Option A (1) is correct because simplifying the expression

\left| \sqrt{{x_1}} - \sqrt{{x_2}} \right|

using the given conditions results in a value of 1.

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{x^2} - px + q = 0

{\alpha _1},{\beta _1}

{x^2} - qx + p = 0,

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{x^2} + 4ax + 2 > 0

x

a

f\left( x \right) = a{x^2} + bx + c\;

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9{x^2} - 18\left| x \right| + 5 = 0

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