WB JEE 2026 | Quadratic Equations Question 21 | Mathematics

WB JEE 2026

MCQ (More than One Correct Answer)

-0

If $\left(4^{\sec ^2 \alpha}\right) x^2+2 x+\left(\beta^2-\beta+\frac{1}{2}\right)=0$ has real roots，then the value／values of $\left(\cos \alpha+\cos ^{-1} \beta\right)$ is／are

$1+\frac{\pi}{3}$ ，if $n$ is even．

$-1-\frac{\pi}{3}$ ，if $n$ is odd．

$-1+\frac{\pi}{3}$ ，if $n$ is odd．

$-1+\frac{\pi}{3}$ ，if $n$ is even．

WB JEE 2024

MCQ (More than One Correct Answer)

-0

If the quadratic equation $$a x^2+b x+c=0(a>0)$$ has two roots $$\alpha$$ and $$\beta$$ such that $$\alpha<-2$$ and $$\beta>2$$, then

$$c<0$$

$$\mathrm{a}+\mathrm{b}+\mathrm{c}>0$$

$$a - b + c<0$$

$$\mathrm{a}-\mathrm{b}+\mathrm{c}>0$$

WB JEE 2018

MCQ (More than One Correct Answer)

-0

If the equation $${x^2} - cx + d = 0$$ has roots equal to the fourth powers of the roots of $${x^2} + ax + b = 0$$, where $${a^2} > 4b$$, then the roots of $${x^2} - 4bx + 2{b^2} - c = 0$$ will be

both real

both negative

both positive

one positive and one negative

WB JEE 2017

MCQ (More than One Correct Answer)

-0

If a, b$$ \in $$ {1, 2, 3} and the equation ax² + bx + 1 = 0 has real roots, then

a > b

a $$ \le $$ b

number of possible ordered pairs (a, b) is 3

a < b

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