Recently Active Fundamentals Questions

The remainder when 1992 is divided by 92 is a) 41 b) 49 c)32 d)44 ...

Pick the odd one out. 1.JOT 2.OUT 3.DOG 4.DIN 5.FED We eat so that we ...... live 1.MAY 2.CAN 3.MUST 4.MIGHT The area of the parallelogram formed by the tangents at the extremities of cojugate diameters of the standard hyperb ...

*Image* Find the missing number: (a) 72 (b) 70 (c) 68 (d) 66 ...

2. Triangle ABC is divided into four parts by straight lines from two of its vertices. Area of three triangular parts are 8 , 5 and 10. what is the area of remaining part? *Image* . ...

The men square deviation of a set of n observations x1,x2,x3,.....xn about a point c is defined as \left(1/n \right)\sum_{i=1}^{n}{\left(x_{i}-c \right)^{2}} The mean square deviation about -2 and 2 are 18 and 10 respectively ...

prove that locus of moving points such that the sum of squares of distances of any point from two fixed points is always a constant is a circle. can someone prove it without using co-ordinate geometry... i mean using plane ge ...

How many common points can 3 or more planes have? ...

let S ≡ f(x,y) , |||x|-2|-1|| + |||y|-2|-1| = 1. If S is made out of a wire then the length of the wire required is? ...

Question of Ramanujan contest... ...

Find range of the following functions 1. y = sin2x+sinx-1/sin2x-sinx+2 2. y = (tan-1x)2 + 2/√(1+x2) ...

1,Prove for positive a,b,c (b≠1) , alogbc = clogba 2,In a small sweet shop people usually buy either one cake or one box of chocolate ,One day the shop sold 57 cakes and 36 boxes of chocolate,How many customers were there t ...

1. Please tell me the difference between subset and a proper-subset. 2. And that between the powerset and proper-power set 3. What does P(A) denote? 4. Prove that, (A U B)' = (A' ∩ B') Thanks in advance !! ...

I want some chapterwise test papers to download.... For revision... especially for Physics .... So anybody with A LINK??? *Image* ...

This is not a doubt. Given two circles in plane.They may intersect, may touch or may neither. How will you find their radical axis? a similar thread, http://www.targetiit.com/iit-jee-forum/posts/19-06-2011-parabola-19567.html ...

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Can someone tell me that... Is there any other congruency criteria for triangles other than SAS SSS AAS ASA RHS ?????? ...

Q1. L1 ≡ ax+by+c and L2 ≡ lx+my+n , where a,b,c,l,m,n are real. L1+λL2=0 represent all lines passing through intersection of L1=0 and L2=0 (True/False)? ______________________________________________________ Q2. Lim(x→ ...

In wolfram i read that 1 is a special case: It is neither prime nor composite. The fundamental theorem of arithmetic fails if we consider 1 to be a prime. But somewhere else i read that 1 is a prime. So, what's the truth? PS- ...

If the length of the equal sides of an isoceles triangle is 2011, find the length of the third side such that its area is maximum. ...

If x,y,p satisfy x2+y2=p where p is a prime (4k+1) Then prove that the above equation has one and only one solution in Z ...

Is it possible to find a continuous function defined over all real numbers such that its graph intersects any non-vertical line in infinitely many points? ...

Prove that the number nm(n-m) is even for any integers n & m ...

what is the remainder of -17/3??:D a very basic and simple one!! ...

Let f be a function from the set of points in the plane to the set of real numbers ,with the property that for any square ABCD, f(A)+f(B)+f(C)+f(D) = 0 Prove that f(P) = 0 , for any point P in the plane. Not a doubt. ...

Let \, \, y= f(x)\, \, \textrm{be continous ,positive,and increasing over the interval [a,b] } Show \,\, that\, \,\rightarrow \boxed{\, \, \int_{a}^{b}f(x)dx+\int_{f(a)}^{f(b)}f^{-1}(y)dy=bf(b)-af(a)} ...

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Three vertices are chosen at randomly from seven vertices of regular seven sided polygon. Probability that they form vertices of an isosceles triangle is: a) 1/7 b) 1/3 c) 3/7 d) 3/5 ...

Q. Find the number of ways of selecting 10 objects out of 30 objects of which 10 are alike and rest are different? ...

Aieee maths- http://www.scribd.com/doc/37965921/Arihant-AIEEE-Mathematics Aieee physics- http://www.scribd.com/doc/37966495/Arihant-AIEEE-Physics chemistry- solomons,graham-fundamentals of Organic Chemistry - http://www.scrib ...

I felt this qsn was nice on sequences....I liked it.... Let \left\{t_n \right\} define a sequence of reals, such that sum of every 5 terms is positive, while sum of every 9 terms is negative. Find the maximum number of terms ...