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Mathematics · 2020 · 9 Jan · Shift 2

20 questions from this JEE Main paper

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2020 · 9 Jan · Shift 2
Mathematics

Mathematics · 2020 · 9 Jan · Shift 2

20 questions from this JEE Main paper

Probability2 questions Sequences and Series2 questions Binomial Theorem1 questions Functions1 questions Complex Numbers1 questions Indefinite Integrals1 questions Differential Equations1 questions Definite Integration1 questions Vector Algebra1 questions Sets and Relations1 questions Trigonometric Ratio and Identites1 questions Area Under the Curves1 questions Differentiation2 questions Quadratic Equation and Inequalities1 questions Matrices and Determinants1 questions Limits Continuity and Differentiability1 questions Circle1 questions

Q21.If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes contain exactly 2 and 3 balls is :
Mathematics · Probability · MCQ
Q22.The number of terms common to the two A.P.'s 3, 7, 11, ....., 407 and 2, 9, 16, ....., 709 is .
Mathematics · Sequences and Series · Numerical
Q23.In the expansion of $(\frac{x}{c o s θ} + \frac{1}{x s i n θ})^{16}$ , if $ℓ_{1}$ is the least value of the term independent of x when $\frac{π}{8} \leq θ \leq \frac{π}{4}$ and $ℓ_{2}$ is the…
Mathematics · Binomial Theorem · MCQ
Q24.Let a – 2b + c = 1. If $f (x) = x + a x + b x + c x + 2 x + 3 x + 4 x + 1 x + 2 x + 3$ , then:
Mathematics · Functions · MCQ
Q25.If z be a complex number satisfying |Re(z)| + |Im(z)| = 4, then |z| cannot be :
Mathematics · Complex Numbers · MCQ
Q26.If $\int \frac{d θ}{c o s ^{2} θ ( t a n 2 θ + s e c 2 θ )} = λ tan θ + 2 lo g_{e} ∣ f (θ) ∣ + C$ where C is a constant of integration, then the ordered pair ( $λ$ …
Mathematics · Indefinite Integrals · MCQ
Q27.If $\frac{d y}{d x} = \frac{x y}{x ^{2} + y ^{2}}$ ; y(1) = 1; then a value of x satisfying y(x) = e is :
Mathematics · Differential Equations · MCQ
Q28.Let a function ƒ : [0, 5] $\to$ R be continuous, ƒ(1) = 3 and F be defined as : $F (x) = 1 \int x t^{2} g (t) d t$ , where $g (t) = 1 \int t f (u) d u$ Then for the function F, the point x = 1 is :
Mathematics · Definite Integration · MCQ
Q29.Let $a$ , $b$ and $c$ be three vectors such that $a = 3$ , $b = 5, b . c = 10$ and…
Mathematics · Vector Algebra · Numerical
Q30.If A = {x $\in$ R : |x| < 2} and B = {x $\in$ R : |x – 2| $\geq$ 3}; then :
Mathematics · Sets and Relations · MCQ
Q31.If $x = n = 0 \sum \infty (- 1)^{n} tan^{2 n} θ$ and $y = n = 0 \sum \infty cos^{2 n} θ$ for 0 < $θ$ < $\frac{π}{4}$ , then :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q32.Given : $f (x) = ⎩ ⎨ ⎧ x, \frac{1}{2}, 1 - x, 0 \leq x < \frac{1}{2} x = \frac{1}{2} \frac{1}{2} < x \leq 1$ and $g (x) = (x - \frac{1}{2})^{2}, x \in R$ …
Mathematics · Area Under the Curves · MCQ
Q33.If $x = 2 sin θ - sin 2 θ$ and $y = 2 cos θ - cos 2 θ$ , $θ \in [0, 2 π]$ , then $\frac{d ^{2} y}{d x ^{2}}$ at $θ$ = $π$ is :
Mathematics · Differentiation · MCQ
Q34.A random variable X has the following probability distribution : Then P(X > 2) is equal to : Includes table
Mathematics · Probability · MCQ
Q35.Let a, b $\in$ R, a $e$ 0 be such that the equation, ax2 – 2bx + 5 = 0 has a repeated root $α$ , which is also a root of the equation, x2 – 2bx – 10 = 0. If $β$ is the other root of this equation, then $α$ 2 + $β$ 2 is…
Mathematics · Quadratic Equation and Inequalities · MCQ
Q36.The following system of linear equations 7x + 6y – 2z = 0 3x + 4y + 2z = 0 x – 2y – 6z = 0, has
Mathematics · Matrices and Determinants · MCQ
Q37.Let [t] denote the greatest integer $\leq$ t and $x \to 0 lim x [\frac{4}{x}] = A$ . Then the function, f(x) = [x2]sin( $π$ x) is discontinuous, when x is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q38.If the curves, x2 – 6x + y2 + 8 = 0 and x2 – 8y + y2 + 16 – k = 0, (k > 0) touch each other at a point, then the largest value of k is .
Mathematics · Circle · Numerical
Q39.Let ƒ and g be differentiable functions on R such that fog is the identity function. If for some a, b $\in$ R, g'(a) = 5 and g(a) = b, then ƒ'(b) is equal to :
Mathematics · Differentiation · MCQ
Q40.Let an be the nth term of a G.P. of positive terms. $n = 1 \sum 100 a_{2 n + 1} = 200$ and $n = 1 \sum 100 a_{2 n} = 100$ , then $n = 1 \sum 200 a_{n}$ is equal to :
Mathematics · Sequences and Series · MCQ