Recently Active Mathematics Questions

After several operations of differentiation and multiplication by (x+1) performed in an arbitrary order, the poylnomial (x8+x7) is changed to (ax+b). Show that |(a-b)| is divisible by 49..... ...

*Image* why have they used h---->1 for LHL and h----->0 for RHL??can u account for this! ...

N people are standing in a line, facing forward down the line. How many of them, on average, are able to say, “I am taller than everyone in front of me.”? ...

If direction cosines of a variable line in 2 adjacent points be l,m,n and l+δl,m+δm,n+δn .Show that small angle δθ between two positions is given by δθ2=δl2+δm2+δn2 ...

An ellipse with axes parallel to OX & OY cuts the parabola y2 = 4x at (1,-2) & touches it at (4,4) , the coordinates of the other points of intersection is (A) (9,-6) (B) (9,6) (C) (4,-4) (D) (1,-2) ...

A red card is removed from a pack of 52 cards. Then thirteen cards are drawn and are found to be of the same colour. Let p and q respectively conditional probabilities that the colour of the cards is black and red then (A) p ...

2 POSITIVE REAL NO.S x & y satisfying x≤1 & y≤1 r chosen at random.The probability that x+y≤1 , given that x2 + y2 ≥ 1/4 , is a) (8-∩) / (16-∩) b) (4-∩) / (16-∩) c)(4-∩) / (8-∩) d) None ...

A delegation of 5 students is to be formed from a group of 10 students. If 3 particular students want to remain together whereas two particular students do not want to remain together, then the number of selection is (A) 10 ( ...

2 positive real numbers x & y satisfy x <= 1 and y <= 1 are chosen at random. The probability that x + y ≤ 1, given that x2 + y2 ≥ 1/4 is (A) [(8-pi)/(16-pi)] (B) [(4 - pi)/(16-pi)] (C) [(4-pi)/(8-pi)] (D) None of t ...

Consider the set X = {4, 5, 6, 8} and Y = {6, 8, 9, 10, 11, 12, 13}, the probability of a strictly decreasing function from set X to set Y, is (A) (120)/(343) (B) (35)/(343) (C) (35)/(2401) (D) (280)/(729) ...

How to solve these kind of questions effectively ????I always make blunders in theses...so plzz help...........experts are requested t o help ASAP [1] Eg. there are two sets A={a1,a2,a3......,an} and B={b1,b2,b3,.....,bm} wha ...

Consider an ellipse x2/sec2a + y2/tan2 a = 1 ,0<a<pi/4 with foci S1 & S2 . Let M be a point on the y-axis such that OM = OS1 , where O is origin. Which of the following r correct? (A)M lise inside the ellipse (B) M lies ...

IF DELHI IS CAPITAL OF INDIA THEN , INDIA IS ----------------- OF DELHI [fill in the blank] ...

Find the no of solutions. 2cosx= \left|sinx \right| x belongs to 0 to 2pie ...

prove that the equation x3-2x+1=0 has roots as √2sin(π/4),2sin(π/10),2sin(3π/10) q is from adg ...

If the minimum distance of the point (1,1,1) from the plane x+y+z=1 measured perpendicular to the lines (x-a)/1 =( y-b)/2 =( z-c)/3 be ' l ' then the value of 21 l is ...... double integer answer ...

From a variable point P on y=x-3 tangents PQ& PR are drawn to the circle x2+y2 = 4 , Q' & R' r the corresponding points of Q & R on the ellipse x2/4+y2=1 in the same quadrants as Q & R The locus of the midpoint of Q' R' is an ...

a spider(with 8 diff legs) has 8 diff socks n 8 diff shoes. in how many ways can the spidey wear the stuff?? HINT: a shoe is worn only ater wearing a sock!!!!!! ...

1. If A and B are symmetric matrices of the same order,then (A) AB is a symmetric matrix (B) A - B is a skew-symmetric matrix (C) AB + BA is a symmetric matrix (D) AB - BA is a symmetric matrix 2. If A,B,C are three matrices ...

1)Find the value of "t" for which- e2x= t x , has only one solution. 2)Let "g" be the inverse function of a differenciable function "f" such that, G(x) = 1/g(x). If f(4)=2 & f'(4)= 1/16, then (G'(2))2 =? 3) Value of "a" for w ...

1> If 84^n divides (496)! , then what is the maximum value of n ?? 2> What is the number of 5 digit multiples of 3 that end with digit 6 ?? ...

Functions f(x) & g(x) are such that - (f.g)'= (f'.g'). If f(x) = ex2 and g(1)=e, the domain of g(x) being (1/2,∞), find (a+b) if g(5) = aeb. ...

Q1 : If p(x) is a reciprocal polynomial of odd degree , then one of the roots of p(x)= 0 , is ?? Q2: Sum of rational roots of x5 = (133x - 78) / (133 - 78 x ) ...

In how many ways we can place one white and one black rook on a chessboard so that they do not attack each other ? ...

f(x)=ax3+bx2+cx+d g(y)=ay3+f'''(m)y2/2+cf''(m)/1+f(m)=0. f(x) has roots α1, α2, α3 and g(y) has corresponding β roots. PT difference between the corresponding roots are equal. ...

*Image* i dont have the answer ...

the coordinates of othocenter of triangle A(x1,y1),B(x2,y2),C(x3,y3) is {(x1 tanA+x2 tanB+x3 tanC)/(tanA+tanB+tanC)},{(y1 tanA+y2 tanB+y3 tanC)/(tanA+tanB+tanC)} give me the proof of it. ...

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The value of -- \frac{2Sin(2) + 4Sin(4) + 6Sin(6) +...+ 180Sin(180)}{90} = \ ? ...