1

JEE Main 2021 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let 'a' be a real number such that the function f(x) = ax

^{2}+ 6x $$-$$ 15, x $$\in$$ R is increasing in $$\left( { - \infty ,{3 \over 4}} \right)$$ and decreasing in $$\left( {{3 \over 4},\infty } \right)$$. Then the function g(x) = ax^{2}$$-$$ 6x + 15, x$$\in$$R has a :2

JEE Main 2021 (Online) 16th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

The maximum value of

$$f(x) = \left| {\matrix{ {{{\sin }^2}x} & {1 + {{\cos }^2}x} & {\cos 2x} \cr {1 + {{\sin }^2}x} & {{{\cos }^2}x} & {\cos 2x} \cr {{{\sin }^2}x} & {{{\cos }^2}x} & {\sin 2x} \cr } } \right|,x \in R$$ is :

$$f(x) = \left| {\matrix{ {{{\sin }^2}x} & {1 + {{\cos }^2}x} & {\cos 2x} \cr {1 + {{\sin }^2}x} & {{{\cos }^2}x} & {\cos 2x} \cr {{{\sin }^2}x} & {{{\cos }^2}x} & {\sin 2x} \cr } } \right|,x \in R$$ is :

3

JEE Main 2021 (Online) 26th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let A

_{1}be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in the first quadrant. Also, let A_{2}be the area of the region bounded by the curves y = sinx, y = cosx, x-axis and x = $${\pi \over 2}$$ in the first quadrant. Then,4

JEE Main 2021 (Online) 26th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let slope of the tangent line to a curve at any point P(x, y) be given by $${{x{y^2} + y} \over x}$$. If the curve intersects the line x + 2y = 4 at x = $$-$$2, then the value of y, for which the point (3, y) lies on the curve, is :

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

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