Frequent Fundamentals Questions

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 ...

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? ...

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 ...

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

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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. ...

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 ...

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? ...

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)} ...

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 ...

Prove that for any " x , y > 0 " , x x + y y ≥ x y + y x ...

A four-digit number has the following properties: (a) It is a perfect square; (b) Its first two digits are equal (c) Its last two digits are equal. Find all such four-digit numbers. (RMO '91) ...

What digit is the least frequent between the numbers 1 and 1,000? ...

A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the s ...

Find the sum of all four digit palindromes. ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

Given a cyclic quadrilateral with side lengths a,b,c,d the area K can be found as: K=\sqrt{(s-a)(s-b)(s-c)(s-d)} ...

I was going through Play with graphs. There the graph of \sin^{-1} sinx is given . Though the graph happens to be okay. I got one problem. IT SUGGESTS students to learn defination of it like x+2Î ; -5Î /2<= x<= -3Î /2 - ...

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