New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

Mathematics · 2019 · 12 Jan · Shift 1

23 questions from this JEE Main paper

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2019 · 12 Jan · Shift 1
Mathematics

Mathematics · 2019 · 12 Jan · Shift 1

23 questions from this JEE Main paper

Statistics1 questions Binomial Theorem1 questions Definite Integration1 questions Complex Numbers1 questions Sets and Relations1 questions Probability1 questions Parabola2 questions Hyperbola1 questions Permutations and Combinations1 questions Matrices and Determinants2 questions Quadratic Equation and Inequalities1 questions Trigonometric Ratio and Identites1 questions Limits Continuity and Differentiability2 questions Indefinite Integrals1 questions Area Under the Curves1 questions Differentiation1 questions Straight Lines and Pair of Straight Lines1 questions Inverse Trigonometric Functions1 questions Sequences and Series1 questions Differential Equations1 questions

Q23.If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is :
Mathematics · Statistics · MCQ
Q24.A ratio of the 5th term from the beginning to the 5th term from the end in the binomial expansion of $(2^{1/3} + \frac{1}{2 ( 3 ) ^{1/3}})^{10}$ is :
Mathematics · Binomial Theorem · MCQ
Q25.Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then $0 \int a$ f(x) g(x) dx is equal to :
Mathematics · Definite Integration · MCQ
Q26.If $\frac{z - α}{z + α} (α \in R)$ is a purely imaginary number and | z | = 2, then a value of $α$ is :
Mathematics · Complex Numbers · MCQ
Q27.Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :
Mathematics · Sets and Relations · MCQ
Q28.In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to :
Mathematics · Probability · MCQ
Q29.The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12 – x2 such that the rectangle lies inside the parabola, is :
Mathematics · Parabola · MCQ
Q30.If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the following points does not lie on this hyperbola?
Mathematics · Hyperbola · MCQ
Q31.Let P(4, –4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of $Δ$ PXQ is maximum. Then this maximum area (in sq.…
Mathematics · Parabola · MCQ
Q32.Consider three boxes, each containing, 10 balls labelled 1, 2, … , 10. Suppose one ball is randomly drawn from each of the boxes. Denote by ni, the label of the ball drawn from the ith box, (i = 1, 2, 3). Then, the number of ways in which…
Mathematics · Permutations and Combinations · MCQ
Q33.Let P = $139013001$ and Q = [qij] be two 3 $\times$ 3 matrices such that Q – P5 = I3. Then $\frac{q _{21} + q _{31}}{q _{32}}$ is…
Mathematics · Matrices and Determinants · MCQ
Q34.If $λ$ be the ratio of the roots of the quadratic equation in x, 3m2x2 + m(m – 4)x + 2 = 0, then the least value of m for which $λ + \frac{1}{λ} = 1,$ is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q35.An ordered pair ( $α$ , $β$ ) for which the system of linear equations (1 + $α$ ) x + $β$ y + z = 2 $α$ x + (1 + $β$ )y + z = 3 $α$ x + $β$ y + 2z = 2 has a unique solution, is :
Mathematics · Matrices and Determinants · MCQ
Q36.The maximum value of 3cos $θ$ + 5sin $(θ - \frac{π}{6})$ for any real value of $θ$ is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q37.Let S be the set of all points in (– $π$ , $π$ ) at which the function, f(x) = min{sin x, cos x} is not differentiable. Then S is a subset of which of the following ?
Mathematics · Limits Continuity and Differentiability · MCQ
Q38.The integral $\int$ cos(loge x) dx is equal to : (where C is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q39. $x \to π /4 lim \frac{c o t ^{3} x - t a n x}{c o s ( x + \frac{π}{4} )}$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q40.The area (in sq. units) of the region bounded by the parabola, y = x2 + 2 and the lines, y = x + 1, x = 0 and x = 3, is
Mathematics · Area Under the Curves · MCQ
Q41.For x > 1, if (2x)2y = 4e2x $-$ 2y, then (1 + loge 2x)2 $\frac{d y}{d x}$ is equal to :
Mathematics · Differentiation · MCQ
Q42.If the straight line, 2x – 3y + 17 = 0 is perpendicular to the line passing through the points (7, 17) and (15, $β$ ), then $β$ equals :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q43.Considering only the principal values of inverse functions, the set A = { x $\geq$ 0: tan $-$ 1(2x) + tan $-$ 1(3x) = $\frac{π}{4}$ }
Mathematics · Inverse Trigonometric Functions · MCQ
Q44.The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is :
Mathematics · Sequences and Series · MCQ
Q45.Let y = y(x) be the solution of the differential equation, x $\frac{d y}{d x}$ + y = x loge x, (x > 1). If 2y(2) = loge 4 $-$ 1, then y(e) is equal to :
Mathematics · Differential Equations · MCQ