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Mathematics · 2017 · 9 Apr · Shift 1

22 questions from this JEE Main paper

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2017 · 9 Apr · Shift 1
Mathematics

Mathematics · 2017 · 9 Apr · Shift 1

22 questions from this JEE Main paper

Sequences and Series1 questions Binomial Theorem1 questions Permutations and Combinations1 questions Matrices and Determinants1 questions Complex Numbers1 questions Quadratic Equation and Inequalities1 questions Functions1 questions Circle2 questions Statistics1 questions Probability2 questions Inverse Trigonometric Functions1 questions Vector Algebra1 questions Ellipse1 questions Differential Equations1 questions Limits Continuity and Differentiability1 questions Application of Derivatives1 questions Indefinite Integrals1 questions Differentiation1 questions Straight Lines and Pair of Straight Lines1 questions Definite Integration1 questions

Q24.If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :
Mathematics · Sequences and Series · MCQ
Q25.The coefficient of x−5 in the binomial expansion of $(\frac{x + 1}{x ^{\frac{2}{3}} - x ^{\frac{1}{3}} + 1} - \frac{x - 1}{x - x ^{\frac{1}{2}}})^{10},$ where x $e$ 0, 1, is :
Mathematics · Binomial Theorem · MCQ
Q26.The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B1 and a particular girl G1 never sit adjacent to each other, is :
Mathematics · Permutations and Combinations · MCQ
Q27.For two 3 × 3 matrices A and B, let A + B = 2BT and 3A + 2B = I3, where BT is the transpose of B and I3 is 3 × 3 identity matrix. Then :
Mathematics · Matrices and Determinants · MCQ
Q28.The equation Im $(\frac{i z - 2}{z - i})$ + 1 = 0, z $\in$ C, z $e$ i represents a part of a circle having radius equal to :
Mathematics · Complex Numbers · MCQ
Q29.The sum of all the real values of x satisfying the equation 2(x $-$ 1)(x2 + 5x $-$ 50) = 1 is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q30.The function f : N $\to$ N defined by f (x) = x $-$ 5 $[\frac{x}{5}],$ Where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is :
Mathematics · Functions · MCQ
Q31.The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60o. If the area of the quadrilateral is $43$ , then the perimeter of the quadrilateral is :
Mathematics · Circle · MCQ
Q32.The sum of 100 observations and the sum of their squares are 400 and 2475, respectively. Later on, three observations, 3, 4 and 5, were found to be incorrect. If the incorrect observations are omitted, then the variance of the remaining…
Mathematics · Statistics · MCQ
Q33.Let E and F be two independent events. The probability that both E and F happen is $\frac{1}{12}$ and the probability that neither E nor F happens is $\frac{1}{2}$ , then a value of $\frac{P ( E )}{P ( F )}$ is…
Mathematics · Probability · MCQ
Q34.A value of x satisfying the equation sin[cot−1 (1+ x)] = cos [tan−1 x], is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q35.If the vector $b = 3 j + 4 k$ is written as the sum of a vector $b_{1},$ paralel to $a = i + j$ and a vector $b_{2},$ perpendicular to $a,$ …
Mathematics · Vector Algebra · MCQ
Q36.From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men, is :
Mathematics · Probability · MCQ
Q37.The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate axes and passing through the points (4, −1) and (−2, 2) is :
Mathematics · Ellipse · MCQ
Q38.If 2x = y $^{\frac{1}{5}}$ + y $^{- \frac{1}{5}}$ and (x2 $-$ 1) $\frac{d ^{2} y}{d x ^{2}}$ + $λ$ x $\frac{d y}{d x}$ + ky = 0, then $λ$ + k is equal to :
Mathematics · Differential Equations · MCQ
Q39.The value of k for which the function $f (x) = {(\frac{4}{5})^{\frac{t a n 4 x}{t a n 5 x}}, k + \frac{2}{5}, 0 < x < \frac{π}{2} x = \frac{π}{2}$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q40.The function f defined by f(x) = x3 $-$ 3x2 + 5x + 7 , is :
Mathematics · Application of Derivatives · MCQ
Q41.If f $(\frac{3 x - 4}{3 x + 4})$ = x + 2, x $e - \frac{4}{3}$ , and $\int$ f(x) dx = A log $∣$ 1 $-$ x $∣$ + Bx + C, then the ordered pair (A, B) is equal to : (where C is a…
Mathematics · Indefinite Integrals · MCQ
Q42.Let f be a polynomial function such that f (3x) = f ' (x) . f '' (x), for all x $\in$ R. Then :
Mathematics · Differentiation · MCQ
Q43.A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle 30o with the positive direction of the x-axis, then the sum of the x-coordinates of the…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q44.A line drawn through the point P(4, 7) cuts the circle x2 + y2 = 9 at the points A and B. Then PA⋅PB is equal to :
Mathematics · Circle · MCQ
Q45.If $1 \int 2 \frac{d x}{( x ^{2} - 2 x + 4 ) ^{\frac{3}{2}}} = \frac{k}{k + 5},$ then k is equal to :
Mathematics · Definite Integration · MCQ