E-Guru Up Recent Posts Forums JEE Mathematics Notifications Clear all Mathematics Posts Answers Questions Sets, Relations and Functions 20 20 40 0Votes 1Answers 180Views The set A = {x : x ∈ R, x^2 = 16 and 2x = 6} equals By Shanti, 8 months ago 1Replies 0Votes 1Answers 49Views Let A = {x : x is a multiple of 3} and B = { x : x is a multiple of 5}. Then AÇB is given ... By Shanti, 8 months ago 1Replies 0Votes 1Answers 45Views Which one of the following is an infinite set? By Shanti, 8 months ago 1Replies view all questions Complex Numbers and Quadratic Equations 15 15 30 0Votes 1Answers 46Views For the equation 1/x + a - 1/x+b = 1/x + c, if the product of roots is zero, then sum of r... By Shanti, 8 months ago 1Replies 0Votes 1Answers 39Views If a < b < c < d, then the nature of roots of (x – a) (x – c) + 2 (x – b) (x – d)... By Shanti, 8 months ago 1Replies 0Votes 1Answers 44Views Value of k such that equations 2x^2 + kx – 5 = 0 and x^2 - 3x – 4 = 0 have one common root... By Shanti, 8 months ago 1Replies view all questions Matrices and Determinants 15 15 30 0Votes 1Answers 39Views If A = [(4, 1, 0), (1, -2, 2)], B = [(2, 0, -1), (3, 1, x)], C = [1, 2, 1] and By Shanti, 8 months ago 1Replies 0Votes 1Answers 48Views If P = [(i, 0, -i), (0, -i, i), (-i, i, 0)] and Q = [-(i, i), (0, 0), (i, -i)], then PQ is... By Shanti, 8 months ago 1Replies 0Votes 1Answers 46Views If [(x+3, z+4, 2y-7), (4x+6, a-1, 0), (b-3, 3b, z+2c)] = [(0, 6, 3y-2), (2x, -3, 2c+2), (2... By Shanti, 8 months ago 1Replies view all questions Permutations And Combinations 21 21 42 0Votes 1Answers 61Views How many different nine digit numbers can be formed from the number 223355888 by rearrangi... By Salma Khan, 8 months ago 1Replies 0Votes 1Answers 46Views If the letters of the word SACHIN are arranged in all possible ways and these words are wr... By Salma Khan, 8 months ago 1Replies 0Votes 1Answers 50Views Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 (using re... By Salma Khan, 8 months ago 1Replies view all questions Mathematical Induction 16 16 32 0Votes 1Answers 151Views If n ∈ N, then 11^n+2 + 12^2n + 1 is divisible by By Shanti, 8 months ago 1Replies 0Votes 1Answers 44Views By using principle of mathematical induction for every natural number, (ab)^n = By Shanti, 8 months ago 1Replies 0Votes 1Answers 40Views By mathematical induction, 1/1.2.3 + 1/2.3.4 + .....+ 1/n(n + 1)(n+2) is equal to By Shanti, 8 months ago 1Replies view all questions Binomial Theorem and its Simple Applications 17 17 34 0Votes 1Answers 38Views If in the binomial expansion of (1 + x)^n where n is a natural number, the coefficients of... By Shanti, 8 months ago 1Replies 0Votes 1Answers 41Views If the coefficients of 2nd, 3rd and the 4th terms in the expansion of (1 + x)^n are in A.P... By Shanti, 8 months ago 1Replies 0Votes 1Answers 180Views The expansion of 1/(4 - 3x)^1/2 by binomial theorem will be valid, if By Shanti, 8 months ago 1Replies view all questions Sequences and Series 25 25 50 0Votes 1Answers 34Views The first two terms of a geometric progression add up to 12. the sum of the third and the ... By Salma Khan, 8 months ago 1Replies 0Votes 1Answers 242Views If p, q, r are in A.P., a is G.M. between p & q and b is G.M. between q and r, By Salma Khan, 8 months ago 1Replies 0Votes 1Answers 42Views In a Geometric Progression with first term a and common ratio r, what is the Arithmetic Me... By Salma Khan, 8 months ago 1Replies view all questions Limit, Continuity and Differentiability 15 15 30 0Votes 1Answers 153Views If y = √(1+ cos 2θ/1 - cos θ), then dy/dθ at θ = 3π/4 is By Shanti, 8 months ago 1Replies 0Votes 1Answers 167Views The value of λ, for which the function f(x) = {λ(x^2 - 2x) if x ≤ 0, f(x) = {4x + 1, if x ... By Shanti, 8 months ago 1Replies 0Votes 1Answers 131Views If a function f(x) is defined as f(x) = { x/√x^2, x ≠0, f(x) = 0, x = 0 then By Shanti, 8 months ago 1Replies view all questions Integral Calculus 15 15 30 0Votes 1Answers 133Views The value of integral, ∫√x/√9-x + √x dx, x ∈ 3, 6 is By Shanti, 8 months ago 1Replies 0Votes 1Answers 161Views ∫e^3logx(x^4+1)^-1 dx is equal to By Shanti, 8 months ago 1Replies 0Votes 1Answers 174Views ∫cos {2 tan^-1√(1-x/(1+x)}dx is equal to By Shanti, 8 months ago 1Replies view all questions Differential Equations 17 17 34 0Votes 1Answers 37Views The differential equation representing the family of curves y = A cos (x + B), where A, B ... By Shanti, 8 months ago 1Replies 0Votes 1Answers 44Views The order and degree of the differential equation d^2y/dx^2 + (dy/dx)^1/3 + x^1/4 = 0 is By Shanti, 8 months ago 1Replies 0Votes 1Answers 44Views The order of the differential equation of a family of curves represented by an equation co... By Shanti, 8 months ago 1Replies view all questions Co-ordinate Geometry 17 17 34 0Votes 1Answers 176Views The lines x + 2y – 5 = 0, 2x – 3y + 4 = 0, 6x + 4y - 13 = 0 By Shanti, 8 months ago 1Replies 0Votes 1Answers 52Views Let the perpendiculars from any point on the line 7x + 56y = 0 upon 3x + 4y = 0 and 5x – 1... By Shanti, 8 months ago 1Replies 0Votes 1Answers 42Views Line through the points (–2, 6) and (4, 8) is perpendicular to the line through the points... By Shanti, 8 months ago 1Replies view all questions Three Dimensional Geometry 20 20 40 0Votes 1Answers 260Views A plane is parallel to yz-plane, so it is perpendicular to: By Shanti, 8 months ago 1Replies 0Votes 1Answers 44Views The point (-2, -3, -4) lies in the By Shanti, 8 months ago 1Replies 0Votes 1Answers 43Views x-axis is the intersection of two planes are By Shanti, 8 months ago 1Replies view all questions Vector Algebra 15 15 30 0Votes 1Answers 59Views If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) and (y, -2, -5) resp... By Shanti, 7 months ago 1Replies 0Votes 1Answers 44Views Three points (2, -1, 3), (3, –5, 1) and (-1, 11, 9) are By Shanti, 7 months ago 1Replies 0Votes 1Answers 131Views If vector a = i + j + k, vector b = 4i + 3j + 4k and vector c = i + αj + βk are linearly d... By Shanti, 7 months ago 1Replies view all questions Statistics and Probability 21 21 42 0Votes 1Answers 54Views Number which is mean of the squares of deviations from mean, is called ...... By Shanti, 7 months ago 1Replies 0Votes 1Answers 73Views When tested, the lives (in hours) of 5 bulbs were noted as follows By Shanti, 7 months ago 1Replies 0Votes 1Answers 52Views We can grouped data into ....... ways. By Shanti, 7 months ago 1Replies view all questions Trigonometry 15 15 30 0Votes 1Answers 147Views Value of (1 + cos π/8)(1+cos 3π/8)(1+cos 5π/8)(1+cos 7π/8) is By Salma Khan, 8 months ago 1Replies 0Votes 1Answers 60Views The large hand of a clock is 42 cm long. How much distance does its extremity move in 20 m... By Salma Khan, 8 months ago 1Replies 0Votes 1Answers 274Views Value of tan15°. tan45° tan75° is By Salma Khan, 8 months ago 1Replies view all questions Mathematical Reasoning 15 15 30 0Votes 1Answers 42Views The sentence “New Delhi is in India”, is By Saumya, 8 months ago 1Replies 0Votes 1Answers 40Views The sentence “There are 35 days in a month” is By Saumya, 8 months ago 1Replies 0Votes 1Answers 39Views Which of the following statement is a conjunction? By Saumya, 8 months ago 1Replies view all questions Mathematics Topic Title Last Post The area (in sq. units) of the region ((x, y) ∈ R^2|4x^2 ≤ y ≤ 8x + 12... Nishu, 11 months ago 1Votes 1Answers 1564Views By aditi01 11 months ago Let y = y(x) be a function of x satisfying y√(1 - x^2) = k - x√(1 - y^... Nishu, 11 months ago 1Votes 1Answers 1558Views By aditi01 11 months ago Share: