JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Analyzing +4 | -1

All the values of

m

for which both roots of the equation

x^2-2 m x+m^2-1=0

are greater than

-2

but less than 4 , lie in the interval

View answer and explanation

Correct option: C

- 1 < m < 3

Option C (

-1 < m < 3

) is correct because it satisfies the condition that both roots of the quadratic equation are greater than -2 and less than 4.

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\alpha ,\beta

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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\;

\;f\left( { - 1} \right) < 1,f\left( 1 \right) > - 1,f\left( 3 \right) < - 4\;

\;a \ne 0,

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

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