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Mathematics · 2020 · 4 Sep · Shift 2

19 questions from this JEE Main paper

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2020 · 4 Sep · Shift 2
Mathematics

Mathematics · 2020 · 4 Sep · Shift 2

19 questions from this JEE Main paper

Permutations and Combinations1 questions Statistics1 questions Matrices and Determinants2 questions Definite Integration2 questions Probability1 questions Application of Derivatives1 questions Sequences and Series2 questions Limits Continuity and Differentiability2 questions Straight Lines and Pair of Straight Lines1 questions Complex Numbers1 questions Vector Algebra1 questions Circle1 questions Sets and Relations1 questions Quadratic Equation and Inequalities1 questions Differential Equations1 questions

Q22.A test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct. The number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct, is …
Mathematics · Permutations and Combinations · Numerical
Q23.If the variance of the following frequency distribution : Class : 10–20 20–30 30–40 Frequency : 2 x 2 is 50, then x is equal to
Mathematics · Statistics · Numerical
Q24.If the system of equations x+y+z=2 2x+4y–z=6 3x+2y+ $λ$ z= $μ$ has infinitely many solutions, then
Mathematics · Matrices and Determinants · MCQ
Q25.The integral $\frac{π}{6} \int \frac{π}{3} tan^{3} x . sin^{2} 3 x (2 sec^{2} x . sin^{2} 3 x + 3 tan x . sin 6 x) d x$ is equal to:
Mathematics · Definite Integration · MCQ
Q26.In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A wins the game if he throws total a of 6 before B throws a total of 7 and B wins…
Mathematics · Probability · MCQ
Q27.The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y = x2–1 below the x-axis, is :
Mathematics · Application of Derivatives · MCQ
Q28.The minimum value of 2sinx + 2cosx is :
Mathematics · Sequences and Series · MCQ
Q29.Let $f : (0, \infty) \to (0, \infty)$ be a differentiable function such that f(1) = e and $t \to x lim \frac{t ^{2} f ^{2} ( x ) - x ^{2} f ^{2} ( t )}{t - x} = 0$ . If f(x) = 1, then x is equal…
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.If the perpendicular bisector of the line segment joining the points P(1 ,4) and Q(k, 3) has y-intercept equal to –4, then a value of k is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31.If a and b are real numbers such that $(2 + α)^{4} = a + b α$ where $α = \frac{- 1 + i 3}{2}$ then a + b is equal to :
Mathematics · Complex Numbers · MCQ
Q32.Suppose the vectors x1, x2 and x3 are the solutions of the system of linear equations, Ax = b when the vector b on the right side is equal to b1, b2 and b3 respectively. if $x_{1} = 111$ …
Mathematics · Matrices and Determinants · MCQ
Q33.If $a = 2 i + j + 2 k$ , then the value of $i \times (a \times i)^{2} + j \times (a \times j)^{2} + k \times (a \times k)^{2}$ …
Mathematics · Vector Algebra · Numerical
Q34.Let PQ be a diameter of the circle x2 + y2 = 9. If $α$ and $β$ are the lengths of the perpendiculars from P and Q on the straight line, x + y = 2 respectively, then the maximum value of $α β$ is .
Mathematics · Circle · Numerical
Q35.Let {x} and [x] denote the fractional part of x and the greatest integer $\leq$ x respectively of a real number x. If $\int_{0}^{n} {x} d x, \int_{0}^{n} [x] d x$ and 10(n2 – n), $(n \in N, n > 1)$ …
Mathematics · Definite Integration · Numerical
Q36.Let a1, a2, ..., an be a given A.P. whose common difference is an integer and Sn = a1 + a2 + .... + an. If a1 = 1, an = 300 and 15 $\leq$ n $\leq$ 50, then the ordered pair (Sn-4, an–4) is equal to:
Mathematics · Sequences and Series · MCQ
Q37.Let $i = 1 \cup 50 X_{i} = i = 1 \cup n Y_{i} = T$ where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi’s and…
Mathematics · Sets and Relations · MCQ
Q38.Let $λ e 0$ be in R. If $α$ and $β$ are the roots of the equation, x2 - x + 2 $λ$ = 0 and $α$ and $γ$ are the roots of the equation, $3 x^{2} - 10 x + 27 λ = 0$ , then $\frac{β γ}{λ}$ is…
Mathematics · Quadratic Equation and Inequalities · MCQ
Q39.The solution of the differential equation $\frac{d y}{d x} - \frac{y + 3 x}{l o g _{e} ( y + 3 x )} + 3 = 0$ is: (where c is a constant of integration)
Mathematics · Differential Equations · MCQ
Q40.The function $f (x) = {\frac{π}{4} + tan^{- 1} x, \frac{1}{2} (∣ x ∣ - 1), ∣ x ∣ \leq 1 ∣ x ∣ > 1$ is :
Mathematics · Limits Continuity and Differentiability · MCQ