vishal_kothari
 Name:
 vishal kothari
 School:
 ies college of architecture
 About:
 i like studying...
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0 
Questions Asked

vishal_kothari:
Group Title
Let three points be chosen at random from the unit circle (inde
pendently uniformly distributed in the circle). What is the probability…
 updated 2 years ago
 1 reply
 9 Medals
Mathematics

vishal_kothari:
Group Title
Suppose the unit square is divided into four parts by two perpen
dicular lines, each parallel to an edge. Show that at least two of the…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
A piece is broken o at random from each of three identical rods.
What is the probability that an acute triangle can be formed from the…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
Prove that the complement of three points in the plane is not a union
of discs of radius r, if r is greater than the circumscribed radius (…
 updated 2 years ago
 1 reply
 9 Medals
Mathematics

vishal_kothari:
Group Title
Do there exist two diﬀerent (that is, non–isomorphic) ellipses having
the same area and circumference.
 updated 3 years ago
 1 reply
 7 Medals
Mathematics

vishal_kothari:
Group Title
http://www.calstate.edu/sas/elmproblembook01_02.pdf
 updated 3 years ago
 1 reply
 7 Medals
Mathematics

vishal_kothari:
Group Title
http://ics.colorado.edu/techpubs/pdf/9606.pdf
 updated 3 years ago
 1 reply
 9 Medals
Mathematics

vishal_kothari:
Group Title
http://www.math.upenn.edu/ugrad/calc/m240/240la.pdf
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
If A is a 5 × 5 matrix with det A = −1, compute det(−2A)..
 updated 3 years ago
 1 reply
 8 Medals
Mathematics

vishal_kothari:
Group Title
For which real numbers x do the vectors: (x, 1, 1, 1), (1, x, 1, 1), (1, 1, x, 1), (1, 1, 1, x)
not form a basis of R
4…
 updated 3 years ago
 3 replies
 10 Medals
Mathematics

vishal_kothari:
Group Title
http://www.mediafire.com/?46h17b3kt2mjr94
 updated 3 years ago
 6 replies
 12 Medals
Mathematics

vishal_kothari:
Group Title
http://www.mediafire.com/?etwhiznm2xm
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
Let n be any positive integer, and d1
; : : : ; d…
 updated 3 years ago
 7 replies
 10 Medals
Mathematics

vishal_kothari:
Group Title
There are nine points in the interior of a cube of side 1. Show that at
least two of the points are less than…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
Given nine lattice points in space, show that there is an interior lattice
point on at least one segment joining a pair of them..
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
Are there positive irrational numbers a and b such that a
b…
 updated 3 years ago
 3 replies
 11 Medals
Mathematics

vishal_kothari:
Group Title
There are n men in a warehouse, with no three in a straight line, and
so that the distances between pairs of men are distinct.…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
Let Pi
, 1 ≤ i ≤ n, be n distinct points in the plane, no three of which…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
Prove that, if x and y are positive irrationals such that
1…
 updated 3 years ago
 1 reply
 7 Medals
Mathematics

vishal_kothari:
Group Title
Let A be any n n matrix in which every entry is either +1 or −1.
Prove that the determinant of A is divisible by 2…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
What is the smallest amount that may be invested at interest rate i%,
compounded annually, in order that we may withdraw 1…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
Let us call a point (a; b) in the plane rational if both a and b are rational
numbers. For a circle C, let k(C) be the number of rational p…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
The set f3; 5; 9; 29g has the property that the sum of any three of its
members is a prime number. Show that there does not exist a set of…
 updated 3 years ago
 8 Medals
Mathematics

vishal_kothari:
Group Title
If a given equilateral triangle 4 of side a can be covered by ve
equilateral triangles of side b, show that 4 can be covered by four of
sid…
 updated 3 years ago
 1 reply
 8 Medals
Mathematics

vishal_kothari:
Group Title
If a given equilateral triangle 4 of side a can be covered by ve
equilateral triangles of side b, show that 4 can be covered by four of
sid…
 updated 3 years ago
 8 Medals
Mathematics

vishal_kothari:
Group Title
Dene a strip S to be the open set of points in the plane lying
between two parallel lines. Let jSj be the width of S. Given an innite
sequ…
 updated 3 years ago
 8 Medals
Mathematics

vishal_kothari:
Group Title
Show that the circumference of any rhombus (diamond) circumscribed
about a given ellipse is no smaller that the circumference of the
circums…
 updated 3 years ago
 7 Medals
Mathematics

vishal_kothari:
Group Title
Show that there is no convex non{degenerate polyhedron with
exactly 7 edges.
 updated 2 years ago
 1 reply
 7 Medals
Mathematics

vishal_kothari:
Group Title
Find a number k > 0 such that any sequence of real numbers an,
n = 0; 1; 2:::, satisfying an+2 = kan+1
− an for all n must also satisfy…
 updated 3 years ago
 8 Medals
Mathematics

vishal_kothari:
Group Title
An automobile starts from rest and ends at rest, traversing a distance
of 1 mile in 1 minute along a straight road. If a governor prevents t…
 updated 3 years ago
 8 Medals
Mathematics
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