1

JEE Main 2019 (Online) 12th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

If $$\lambda $$ be the ratio of the roots of the quadratic equation in x, 3m

^{2}x^{2}+ m(m – 4)x + 2 = 0, then the least value of m for which $$\lambda + {1 \over \lambda } = 1,$$ is2

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let $$\alpha $$ and $$\beta $$ be the roots of the quadratic equation x

^{2}sin $$\theta $$ – x(sin $$\theta $$ cos $$\theta $$ + 1) + cos $$\theta $$ = 0 (0 < $$\theta $$ < 45^{o}), and $$\alpha $$ < $$\beta $$. Then $$\sum\limits_{n = 0}^\infty {\left( {{\alpha ^n} + {{{{\left( { - 1} \right)}^n}} \over {{\beta ^n}}}} \right)} $$ is equal to :3

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

If one real root of the quadratic equation 81x

^{2}+ kx + 256 = 0 is cube of the other root, then a value of k is4

JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

The value of $$\lambda $$ such that sum of the squares of the roots of the quadratic equation, x

^{2}+ (3 – $$\lambda $$)x + 2 = $$\lambda $$ has the least value is -Questions Asked from Quadratic Equation and Inequalities (MCQ (Single Correct Answer))

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