1

JEE Advanced 2020 Paper 1 Offline

MCQ (Single Correct Answer)

+3

-1

If the function f : R $$ \to $$ R is defined by f(x) = |x| (x $$-$$ sin x), then which of the following statements is TRUE?

2

JEE Advanced 2020 Paper 1 Offline

MCQ (Single Correct Answer)

+3

-1

Let the functions f : R $$ \to $$ R and g : R $$ \to $$ R be defined by

f(x) = e

and g(x) = $${1 \over 2}$$(e

The the area of the region in the first quadrant bounded by the curves y = f(x), y = g(x) and x = 0 is

f(x) = e

^{x $$-$$ 1}$$-$$ e^{$$-$$|x $$-$$ 1|}and g(x) = $${1 \over 2}$$(e

^{x $$-$$ 1}+ e^{1 $$-$$ x}).The the area of the region in the first quadrant bounded by the curves y = f(x), y = g(x) and x = 0 is

3

JEE Advanced 2020 Paper 1 Offline

MCQ (Single Correct Answer)

+3

-1

Let a, b and $$\lambda $$ be positive real numbers. Suppose P is an end point of the latus return of the

parabola y

parabola y

^{2}= 4$$\lambda $$x, and suppose the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ passes through the point P. If the tangents to the parabola and the ellipse at the point P are perpendicular to each other, then the eccentricity of the ellipse is4

JEE Advanced 2020 Paper 1 Offline

MCQ (Single Correct Answer)

+3

-1

Let C

_{1}and C_{2}be two biased coins such that the probabilities of getting head in a single toss are $${{2 \over 3}}$$ and $${{1 \over 3}}$$, respectively. Suppose $$\alpha $$ is the number of heads that appear when C_{1}is tossed twice, independently, and suppose $$\beta $$ is the number of heads that appear when C_{2}is tossed twice, independently. Then the probability that the roots of the quadratic polynomial x^{2}$$-$$ ax + $$\beta $$ are real and equal, isPaper analysis

Total Questions

Chemistry

18

Mathematics

18

Physics

18

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