JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\frac{x^2}{r^2-r-6}+\frac{y^2}{r^2-6 r+5}=1

will represents the ellipse, if

r

lies in the interval

View answer and explanation

Correct option: A

(-\infty,-2) \cup(5, \infty)

The correct answer is A

((-\infty,-2) \cup(5, \infty))

. For the equation to represent an ellipse, both denominators must be positive.

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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\;

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

f\left( x \right) = \log \left( {{x^2} - x - 2} \right)