# Recently Active Mathematics Questions

• Find the coefficient of xr in the following- (x+2)n+(x+2)n-1(x+1)+(x+2)n-2(x+2)2+.....+(x+1)n ...
replied2014-01-04 00:44:47
• The probability that a randomly chosen relation from a set A = {1, 2, . . . n}, n ≥ 1 to itself is a symmetric relation is (A) 2- n2+n/2 (B) 2 -n2/2 (C) 2 n-n2/2 (D) 2 n+1-n2/2 ...
asked2014-01-03 08:58:20
• The equation of the circle passing through the points (0, 0),(0,b) and (a,b) is a) {{x}^{2}}+{{y}^{2}}+ax+by=0 b) {{x}^{2}}+{{y}^{2}}-ax+by=0 c) {{x}^{2}}+{{y}^{2}}+x+3y=0 d) {{x}^{2}}+{{y}^{2}}+ax-by=0 ...
asked2014-01-02 06:37:38
• The equation of the tangent to the parabola {{y}^{2}}=4x+5 parallel to the line y=2x+7 is a) 2x-y-3=0 b) 2x-y+3=0 c) 2x+y+3=0 d) None of these ...
asked2014-01-01 01:33:45
• The curve described parametrically by x={{t}^{2}}+t+1,y={{t}^{2}}-t+1 represents a)A pair of straight lines b)An ellipse c)A parabola d)A hyperbola ...
asked2014-01-01 01:31:53
• Eccentricity of the parabola {{x}^{2}}-4x-4y+4=0 is__ e=0 __ e=1 __ e>4 __ e=4 ...
asked2014-01-01 01:30:16
• The axis of the parabola 9{{y}^{2}}-16x-12y-57=0 is__ 3y=2 __ x+3y=3 __ 2x=3 __ y=3 ...
asked2014-01-01 01:26:50
• If f:R o R,,f(x)=2x-1 and g:R o R, g(x)={{x}^{2}} then (gof),(x) equals ...
asked2014-01-01 01:13:15
• The period of the function f(x)=2cos frac{1}{3}(x-pi ) is ...
asked2014-01-01 00:48:57
• Which of the following is an even function? ...
asked2014-01-01 00:46:31
• If f:R o R,, then f(x),=,|x| is ...
asked2014-01-01 00:46:25
• Domain of definition of the function f(x),=frac{3}{4-{{x}^{2}}}+{{log }_{10}}({{x}^{3}}-x),, is ...
asked2014-01-01 00:43:02
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asked2014-01-01 00:41:03
• Let and c be two vectors perpendicular to each other in the xy-plane. All vectors in the same plane having projections 1 and 2 along b and c respectively, are given by ...
asked2013-12-30 05:02:44
• this question is from co-ordinate geometry... if the straight lines y=4-3x ; ay=x+10 ; 2y+bx+9=0 represent the three consecutive sides of a rectangle then what is the value of ab? plz show the work out as well thnx in advance ...
replied2013-12-27 23:36:53
• The value of i log(x – i) + i2+i3 log(x +i) + i4( 2 tan-1x), x> 0 is (A) 0 (B) 1 (C) 2 (D) 3 ...
replied2013-12-26 09:33:04
• The product of n positive numbers is unity.Then their sum is a.a positive integer b.divisible by n c.equal to n + 1/n d.never less than n Let the numbers be a1,a2,a3.......an Applying A.M>=G.M we get, a1+a2+a3+............ ...
replied2013-12-26 04:19:36
• Let f(x+y)=f(x).f(y) and f(x)=1+sin(3x).g(x) where g(x) is cont. , then f'(x) is a) f(x).g(0) b)3g(0) c) f(x).cos(3x) d)3f(x).g(0) e)3f(x).g(x) ...
replied2013-12-23 23:16:58
• A parabola is drawn touching the axis of x at the origin and having its vertex at a given distance k from the axis.Prove that the axis of the parabola always touches x2=-8k(y-2k). ...
asked2013-12-23 01:23:08
• If f(x+y)=f(x)f(y) for all x and y and f'(0) exists show that f'(x)=f'(x).f'(0) for all x ...
replied2013-12-23 01:01:16
• Consider a 25*25 grid of city streets. Let S be the points of intersection of the streets, and let P be the set of paths from the bottom left corner to the top right corner of which consist of only walking to the right and up ...
replied2013-12-23 00:58:38
• Point P(a, b) is in the first quadrant. A circle of radius r, centre P and containing points in each quadrant is drawn. If AK is the area inside the circle in the Kth quadrant, K=1, 2, 3, 4, then A1-A2+A3-A4= (a) ab (b) 2ab ( ...
replied2013-12-19 06:12:39
• *Image* ...
replied2013-12-17 22:42:55
• in how many ways we can make a 4 digit no. using 1,2,3,4 and what's the sum of all the numbers obtained?(repeatations not allowed) ...
replied2013-12-17 22:34:58
• If a,b,c be the pth,qth and rth terms of an HP respectively then prove the system of equations- (bc)x + (ca)y + (ab)z = 0 px +qy + rz =0 and x+y+z=0 has ∞ number of solutions ...
replied2013-12-12 23:38:13
• Find incenter of a triangle whose sides are 7x-5y+11=0, x + y -15=0,7x+17y+65=0 obtain the equation of the circle ...
asked2013-12-11 09:21:14
• If a,b,c are in AP ;b,c,a In GP then prove that 1/c , 1/a , 1/b are in ap ...
replied2013-12-08 21:00:24
• This is a great problem which you can probably approach in a number of different ways. All natural numbers are arranged as follows. 1 3 6 10 15 . 2 5 9 14 . . 4 8 13 . . . 7 12 . . . . 11 . . . . . and so on. Find the row and ...
asked2013-12-04 00:34:24
• In triangle ABC points L and M divide the sides AB and BC in the ratio 2:3 respectively. AM and LC intersect at point P. From point P, a line parallel to BA is drawn intersecting AC at D. Find the ratio AD:DC. Please show how ...
replied2013-12-03 08:50:19
• Three distinct numbers are selected uniformly at random from the ten-term geometric sequence with first term 10/9 and common ratio 2 . What is the expected value of their sum? ...
replied2013-11-29 07:02:49