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Mathematics · 2020 · 8 Jan · Shift 2

17 questions from this JEE Main paper

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2020 · 8 Jan · Shift 2
Mathematics

Mathematics · 2020 · 8 Jan · Shift 2

17 questions from this JEE Main paper

Application of Derivatives1 questions Permutations and Combinations1 questions Quadratic Equation and Inequalities2 questions Probability1 questions Statistics1 questions Definite Integration2 questions Matrices and Determinants2 questions Trigonometric Ratio and Identites1 questions Binomial Theorem1 questions Functions1 questions Sequences and Series1 questions Limits Continuity and Differentiability1 questions Area Under the Curves1 questions Vector Algebra1 questions

Q20.Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = .
Mathematics · Application of Derivatives · Numerical
Q21.The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATION' is .
Mathematics · Permutations and Combinations · Numerical
Q22.Let $α = \frac{- 1 + i 3}{2}$ . If $a = (1 + α) k = 0 \sum 100 α^{2 k}$ and $b = k = 0 \sum 100 α^{3 k}$ , then a and b are the roots of the quadratic equation :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q23.Let A and B be two events such that the probability that exactly one of them occurs is $\frac{2}{5}$ and the probability that A or B occurs is $\frac{1}{2}$ , then the probability of both of them occur together is :
Mathematics · Probability · MCQ
Q24.The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an observation 9 was incorrect and the correct observation was 11. Then the correct variance is
Mathematics · Statistics · MCQ
Q25. $x \to 0 lim \frac{\int _{0}^{x} t s i n ( 10 t ) d t}{x}$ is equal to
Mathematics · Definite Integration · MCQ
Q26.Let S be the set of all real roots of the equation, 3x(3x – 1) + 2 = |3x – 1| + |3x – 2|. Then S :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q27.If $A = (2924)$ and $I = (1001)$ then 10A–1 is equal to :
Mathematics · Matrices and Determinants · MCQ
Q28.If $I = 1 \int 2 \frac{d x}{2 x ^{3} - 9 x ^{2} + 12 x + 4}$ , then :
Mathematics · Definite Integration · MCQ
Q29.If $\frac{2 s i n α}{1 + c o s 2 α} = \frac{1}{7}$ and $\frac{1 - c o s 2 β}{2} = \frac{1}{10} α, β \in (0, \frac{π}{2})$ then tan( $α$ + 2 $β$ ) is…
Mathematics · Trigonometric Ratio and Identites · Numerical
Q30.The system of linear equations $λ$ x + 2y + 2z = 5 2 $λ$ x + 3y + 5z = 8 4x + $λ$ y + 6z = 10 has
Mathematics · Matrices and Determinants · MCQ
Q31.If $α$ and $β$ be the coefficients of x4 and x2 respectively in the expansion of $(x + x^{2} - 1)^{6} + (x - x^{2} - 1)^{6}$ , then
Mathematics · Binomial Theorem · MCQ
Q32.Let ƒ : (1, 3) $\to$ R be a function defined by $f (x) = \frac{x [ x ]}{1 + x ^{2}}$ , where [x] denotes the greatest integer $\leq$ x. Then the range of ƒ is
Mathematics · Functions · MCQ
Q33.If the 10th term of an A.P. is $\frac{1}{20}$ and its 20th term is $\frac{1}{10}$ , then the sum of its first 200 terms is
Mathematics · Sequences and Series · MCQ
Q34.Let S be the set of all functions ƒ : [0,1] $\to$ R, which are continuous on [0,1] and differentiable on (0,1). Then for every ƒ in S, there exists a c $\in$ (0,1), depending on ƒ, such that
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.The area (in sq. units) of the region {(x,y) $\in$ R2 : x2 $\leq$ y $\leq$ 3 – 2x}, is :
Mathematics · Area Under the Curves · MCQ
Q36.Let $a = i - 2 j + k$ and $b = i - j + k$ be two vectors. If $c$ is a vector such that $b \times c = b \times a$ …
Mathematics · Vector Algebra · MCQ