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Mathematics · 2019 · 12 Apr · Shift 2

18 questions from this JEE Main paper

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JEE Main
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2019 · 12 Apr · Shift 2
Mathematics

Mathematics · 2019 · 12 Apr · Shift 2

18 questions from this JEE Main paper

Sets and Relations1 questions Area Under the Curves1 questions Differential Equations1 questions Indefinite Integrals1 questions Quadratic Equation and Inequalities1 questions Straight Lines and Pair of Straight Lines1 questions Binomial Theorem1 questions Sequences and Series1 questions Limits Continuity and Differentiability2 questions Complex Numbers1 questions Matrices and Determinants1 questions Differentiation1 questions Definite Integration1 questions Ellipse1 questions Permutations and Combinations1 questions Circle1 questions Probability1 questions

Q23.Let A, B and C be sets such that $ϕ e$ A $\cap$ B $\subseteq$ C. Then which of the following statements is not true ?
Mathematics · Sets and Relations · MCQ
Q24.If the area (in sq. units) bounded by the parabola y2 = 4 $λ$ x and the line y = $λ$ x, $λ$ > 0, is $\frac{1}{9}$ , then $λ$ is equal to :
Mathematics · Area Under the Curves · MCQ
Q25.The general solution of the differential equation (y2 – x3)dx – xydy = 0 (x $e$ 0) is : (where c is a constant of integration)
Mathematics · Differential Equations · MCQ
Q26.Let $a \in (0, \frac{π}{2})$ be fixed. If the integral $\int \frac{t a n x + t a n α}{t a n x - t a n α} d x$ = A(x) cos 2 $α$ + B(x) sin 2 $α$ + C, where C is a constant of integration, then the…
Mathematics · Indefinite Integrals · MCQ
Q27.If $α$ , $β$ and $γ$ are three consecutive terms of a non-constant G.P. such that the equations $α$ x 2 + 2 $β$ x + $γ$ = 0 and x2 + x – 1 = 0 have a common root, then $α$ ( $β$ + $γ$ ) is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q28.A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60o with the line x + y = 0. Then an equation of the line L is…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q29.The term independent of x in the expansion of $(\frac{1}{60} - \frac{x ^{8}}{81}) . (2 x^{2} - \frac{3}{x ^{2}})^{6}$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q30.If a1, a2, a3, ..... are in A.P. such that a1 + a7 + a16 = 40, then the sum of the first 15 terms of this A.P. is :
Mathematics · Sequences and Series · MCQ
Q31.Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x $\in$ R. If f(x) attains maximum value at $α$ and g(x) attains minimum value at $β$ , then $x \to - α β lim \frac{( x - 1 ) ( x ^{2} - 5 x + 6 )}{x ^{2} - 6 x + 8}$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.Let z $\in$ C with Im(z) = 10 and it satisfies $\frac{2 z - n}{2 z + n}$ = 2i - 1 for some natural number n. Then :
Mathematics · Complex Numbers · MCQ
Q33.A value of $θ \in (0, \frac{π}{3})$ , for which $1 + cos^{2} θ cos^{2} θ cos^{2} θ sin^{2} θ 1 + sin^{2} θ sin^{2} θ 4 cos 6 θ 4 cos 6 θ 1 + 4 cos 6 θ = 0$ …
Mathematics · Matrices and Determinants · MCQ
Q34.The derivative of $tan^{- 1} (\frac{s i n x - c o s x}{s i n x + c o s x})$ , with respect to $\frac{x}{2}$ , where $(x \in (0, \frac{π}{2}))$ is :
Mathematics · Differentiation · MCQ
Q35. $x \to 0 lim \frac{x + 2 s i n x}{x ^{2} + 2 s i n x + 1 - s i n ^{2} x - x + 1}$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q36.A value of $α$ such that $α \int α + 1 \frac{d x}{( x + α ) ( x + α + 1 )} = lo g_{e} (\frac{9}{8})$ is :
Mathematics · Definite Integration · MCQ
Q37.An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?
Mathematics · Ellipse · MCQ
Q38.A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is…
Mathematics · Permutations and Combinations · MCQ
Q39.A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :
Mathematics · Circle · MCQ
Q40.A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the throw results in the sum of 9, and loses Rs. 6 for any other outcome on the throw. Then the expected gain/loss (in…
Mathematics · Probability · MCQ