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Mathematics · 2020 · 7 Jan · Shift 1

20 questions from this JEE Main paper

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2020 · 7 Jan · Shift 1
Mathematics

Mathematics · 2020 · 7 Jan · Shift 1

20 questions from this JEE Main paper

Permutations and Combinations1 questions Quadratic Equation and Inequalities1 questions Complex Numbers1 questions Vector Algebra1 questions Matrices and Determinants2 questions Differentiation2 questions Limits Continuity and Differentiability2 questions Statistics1 questions Straight Lines and Pair of Straight Lines1 questions Sequences and Series1 questions Differential Equations1 questions Functions1 questions Definite Integration1 questions Binomial Theorem1 questions Probability1 questions Ellipse1 questions Area Under the Curves1 questions

Q23.Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is :
Mathematics · Permutations and Combinations · MCQ
Q24.Let $α$ and $β$ be two real roots of the equation (k + 1)tan2x - $2$ . $λ$ tanx = (1 - k), where k( $e$ - 1) and $λ$ are real numbers. if tan2 ( $α$ + $β$ ) = 50, then a value of $λ$ is:
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.If $Re o l imi t s (\frac{z - 1}{2 z + i}) = 1$ , where z = x + iy, then the point (x, y) lies on a :
Mathematics · Complex Numbers · MCQ
Q26.A vector $a = α i + 2 j + β k (α, β \in R)$ lies in the plane of the vectors, $b = i + j$ and $c = i - j + 4 k$ …
Mathematics · Vector Algebra · MCQ
Q27.Let $α$ be a root of the equation x2 + x + 1 = 0 and the matrix A = $\frac{1}{3} 111 1 α α^{2} 1 α^{2} α^{4}$ …
Mathematics · Matrices and Determinants · MCQ
Q28.Let xk + yk = ak, (a, k > 0 ) and $\frac{d y}{d x} + (\frac{y}{x})^{\frac{1}{3}} = 0$ , then k is:
Mathematics · Differentiation · MCQ
Q29.If the system of linear equations 2x + 2ay + az = 0 2x + 3by + bz = 0 2x + 4cy + cz = 0, where a, b, c $\in$ R are non-zero distinct; has a non-zero solution, then:
Mathematics · Matrices and Determinants · MCQ
Q30. $x \to 2 lim \frac{3 ^{x} + 3 ^{3 - x} - 12}{3 ^{- x /2} - 3 ^{1 - x}}$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q31.If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m + n is equal to .
Mathematics · Statistics · Numerical
Q32.Let A(1, 0), B(6, 2) and C $(\frac{3}{2}, 6)$ be the vertices of a triangle ABC. If P is a Point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas, then the length of the line segment PQ,…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q33.Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x $\in$ R is not differentiable. Then $x \in S \sum f (f (x))$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q34.Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five numbers is - $\frac{1}{2}$ , then the greatest number amongst them is:
Mathematics · Sequences and Series · MCQ
Q35.If y = y(x) is the solution of the differential equation, $e^{y} (\frac{d y}{d x} - 1) = e^{x}$ such that y(0) = 0, then y(1) is equal to:
Mathematics · Differential Equations · MCQ
Q36.If $y (α) = 2 (\frac{t a n α + c o t α}{1 + t a n ^{2} α}) + \frac{1}{s i n ^{2} α}, α \in (\frac{3 π}{4}, π) \frac{d y}{d α} a t α = \frac{5 π}{6} i s$ …
Mathematics · Differentiation · MCQ
Q37.If g(x) = x2 + x - 1 and (goƒ) (x) = 4x2 - 10x + 5, then ƒ $(\frac{5}{4})$ is equal to:
Mathematics · Functions · MCQ
Q38.If ƒ(a + b + 1 - x) = ƒ(x), for all x, where a and b are fixed positive real numbers, then $\frac{1}{a + b} \int_{a}^{b} x (f (x) + f (x + 1)) d x$ is equal to:
Mathematics · Definite Integration · MCQ
Q39.The greatest positive integer k, for which 49k + 1 is a factor of the sum 49125 + 49124 + ..... + 492 + 49 + 1, is:
Mathematics · Binomial Theorem · MCQ
Q40.An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value of k when k consecutive heads are obtained for k = 3, 4, 5, otherwise X takes the value -1. Then the expected value of X, is :
Mathematics · Probability · MCQ
Q41.If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12, then the length of its latus rectum is :
Mathematics · Ellipse · MCQ
Q42.The area of the region, enclosed by the circle x2 + y2 = 2 which is not common to the region bounded by the parabola y2 = x and the straight line y = x, is:
Mathematics · Area Under the Curves · MCQ