1

JEE Main 2022 (Online) 25th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

The curve $$y(x)=a x^{3}+b x^{2}+c x+5$$ touches the $$x$$-axis at the point $$\mathrm{P}(-2,0)$$ and cuts the $$y$$-axis at the point $$Q$$, where $$y^{\prime}$$ is equal to 3 . Then the local maximum value of $$y(x)$$ is:

2

JEE Main 2022 (Online) 30th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

If xy^{4} attains maximum value at the point (x, y) on the line passing through the points (50 + $$\alpha$$, 0) and (0, 50 + $$\alpha$$), $$\alpha$$ > 0, then (x, y) also lies on the line :

3

JEE Main 2022 (Online) 30th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let $$f(x) = 4{x^3} - 11{x^2} + 8x - 5,\,x \in R$$. Then f :

4

JEE Main 2022 (Online) 29th June Evening Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Let f : R $$\to$$ R be a function defined by f(x) = (x $$-$$ 3)^{n1} (x $$-$$ 5)^{n2}, n_{1}, n_{2} $$\in$$ N. Then, which of the following is NOT true?

Questions Asked from Application of Derivatives (MCQ (Single Correct Answer))

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