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Mathematics · 2011 · Shift 0

24 questions from this JEE Main paper

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2011 · Shift 0
Mathematics

Mathematics · 2011 · Shift 0

24 questions from this JEE Main paper

Statistics1 questions Limits Continuity and Differentiability2 questions Functions1 questions Complex Numbers2 questions Application of Derivatives1 questions Vector Algebra2 questions Probability1 questions Differential Equations2 questions Area Under the Curves1 questions Definite Integration1 questions Matrices and Determinants2 questions Differentiation1 questions Ellipse1 questions Sequences and Series1 questions Permutations and Combinations2 questions Trigonometric Ratio and Identites1 questions 3D Geometry1 questions Sets and Relations1 questions

Q29.If the mean deviation about the median of the numbers a, 2a,........., 50a is 50, then |a| equals
Mathematics · Statistics · MCQ
Q30.The value of $p$ and $q$ for which the function $f (x) = ⎩ ⎨ ⎧ \frac{s i n ( p + 1 ) x + s i n x}{x} q \frac{x + x ^{2} - x}{x ^{3/2}}, x < 0, x = 0, x > 0$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q31. $x \to 2 lim (\frac{1 - c o s { 2 ( x - 2 ) }}{x - 2})$
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.The domain of the function f(x) = $\frac{1}{∣ x ∣ - x}$ is
Mathematics · Functions · MCQ
Q33.Let $α, β$ be real and z be a complex number. If $z^{2} + α z + β = 0$ has two distinct roots on the line Re z = 1, then it is necessary that :
Mathematics · Complex Numbers · MCQ
Q34.For $x \in (0, \frac{5 π}{2}),$ define $f (x) = 0 \int x t sin t d t .$ Then $f$ has
Mathematics · Application of Derivatives · MCQ
Q35.The vectors $a$ and $b$ are not perpendicular and $c$ and $d$ are two vectors satisfying $b \times c = b \times d$ …
Mathematics · Vector Algebra · MCQ
Q36.If $C$ and $D$ are two events such that $C \subset D$ and $P (D) e 0,$ then the correct statement among the following is :
Mathematics · Probability · MCQ
Q37.If $\frac{d y}{d x} = y + 3 > 0$ and $y (0) = 2,$ then $y (ln 2)$ is equal to :
Mathematics · Differential Equations · MCQ
Q38.Let $I$ be the purchase value of an equipment and $V (t)$ be the value after it has been used for $t$ years. The value $V (t)$ depreciates at a rate given by differential equation $\frac{d v ( t )}{d t} = - k (T - t),$ …
Mathematics · Differential Equations · MCQ
Q39.The area of the region enclosed by the curves $y = x, x = e, y = \frac{1}{x}$ and the positive $x$ -axis is :
Mathematics · Area Under the Curves · MCQ
Q40.The value of $0 \int 1 \frac{8 l o g ( 1 + x )}{1 + x ^{2}} d x$ is
Mathematics · Definite Integration · MCQ
Q41.The number of values of $k$ for which the linear equations $4 x + k y + 2 z = 0, k x + 4 y + z = 0$ and $2 x + 2 y + z = 0$ possess a non-zero solution is :
Mathematics · Matrices and Determinants · MCQ
Q42.Let $A$ and $B$ be two symmetric matrices of order $3$ . Statement - 1 : $A (B A)$ and $(A B) A$ are symmetric matrices. Statement - 2 : $A B$ is symmetric matrix if matrix multiplication of $A$ with $B$ is commutative.
Mathematics · Matrices and Determinants · MCQ
Q43. $\frac{d ^{2} x}{d y ^{2}}$ equals:
Mathematics · Differentiation · MCQ
Q44.Equation of the ellipse whose axes of coordinates and which passes through the point $(- 3, 1)$ and has eccentricity $\frac{2}{5}$ is :
Mathematics · Ellipse · MCQ
Q45.A man saves ₹ 200 in each of the first three months of his service. In each of the subsequent months his saving increases by ₹ 40 more than the saving of immediately previous month. His total saving from the start of service will be ₹…
Mathematics · Sequences and Series · MCQ
Q46.Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is emply is $^{9} C_{3}$ . Statement - 2: The number of ways of choosing any 3 places from 9 different places is $^{9} C_{3}$ .
Mathematics · Permutations and Combinations · MCQ
Q47.These are 10 points in a plane, out of these 6 are collinear, if N is the number of triangles formed by joining these points. then:
Mathematics · Permutations and Combinations · MCQ
Q48.If $ω (e 1)$ is a cube root of unity, and $(1 + ω)^{7} = A + B ω$ . Then $(A, B)$ equals :
Mathematics · Complex Numbers · MCQ
Q49.If $A = sin^{2} x + cos^{4} x,$ then for all real $x$ :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q50.Statement - 1 : The point $A (1, 0, 7)$ is the mirror image of the point $B (1, 6, 3)$ in the line : $\frac{x}{1} = \frac{y - 1}{2} = \frac{z - 2}{3}$ Statement - 2 : The line $\frac{x}{1} = \frac{y - 1}{2} = \frac{z - 2}{3}$ bisects…
Mathematics · 3D Geometry · MCQ
Q51.Let $R$ be the set of real numbers. Statement I : $A = {(x, y) \in R \times R : y - x$ is an integer $}$ is an equivalence relation on $R$ . Statement II : $B = {(x, y) \in R \times R : x = α y$ for some rational number $α}$ is an…
Mathematics · Sets and Relations · MCQ
Q52.Let $a$ , $b$ , $c$ be three non-zero vectors which are pairwise non-collinear. If $a + 3 b$ is collinear with $c$ and $b + 2 c$ …
Mathematics · Vector Algebra · MCQ