WB JEE 2022 | Quadratic Equations Question 22 | Mathematics

PREVIOUS NEXT

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

If a, b are odd integers, then the roots of the equation $$2a{x^2} + (2a + b)x + b = 0$$, $$a \ne 0$$ are

rational

irrational

non-real

equal

WB JEE 2022

MCQ (Single Correct Answer)

-0.5

The value of a for which the sum of the squares of the roots of the equation $${x^2} - (a - 2)x - a - 1 = 0$$ assumes the least value is

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

Let $$\alpha$$, $$\beta$$ be the roots of the equation x² $$-$$ 6x $$-$$ 2 = 0 with $$\alpha$$ > $$\beta$$. If a_n = $$\alpha$$ⁿ $$-$$ $$\beta$$ⁿ for n $$\ge$$ 1, then the value of $${{{a_{10}} - 2{a_8}} \over {2{a_9}}}$$ is

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

The expression ax² + bx + c (a, b and c are real) has the same sign as that of a for all x if

b² $$ - $$ 4ac > 0

b² $$ - $$ 4ac $$ \ne $$ 0

b² $$ - $$ 4ac $$ \le $$ 0

b and c have the same sign as that of a

PREVIOUS NEXT

WB JEE Subjects