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High School
By
True IITJEE
on May 27, 2014 | Updated Jan. 3, 2018
JEE-Main 2013 Mathematics 31
The circle passing through \((1, −2)\) and touching the axis of \(x\) at \((3, 0)\) also passes through the point
Mathematics
Geometry
circle
jee
jee main
2
High School
By
True IMO
on July 21, 2016 | Updated Jan. 4, 2018
International Mathematical Olympiad 2016 Problem 3
Let \(P = A_1, A_2 \dots A_k\) be a convex polygon on the plane. The vertices \(P = A_1, A_2 \dots A_k\) have integral coordinates and lie on a circle. Let \(S\) be the area of \(P\). An odd positive …
Mathematics
Geometry
imo
imo 2016
polygon
0
High School
By
Shiva Kintali
on June 6, 2014 | Updated Jan. 4, 2018
Constructible polygons
A constructible polygon is a regular polygon that can be constructed with compass and straightedge. For example, a regular pentagon is constructible with compass and straightedge while a regular hepta…
Mathematics
Geometry
polygon
0
High School
By
True IITJEE
on Jan. 16, 2017 | Updated Jan. 3, 2018
JEE Advanced 2016 Paper 1 Mathematics Question 42
Consider a pyramid OPQRS located in the first octant \(( x \geq 0, y \geq 0, z \geq 0 )\) with O as origin, and OP and OR along the x-axis and the y-axis, respectively. The base OPQR of the pyramid is…
Mathematics
Geometry
Trigonometry
jee
jee 2016
jee advanced
jee mathematics
pyramid
0
High School
By
Shiva Kintali
on June 28, 2012 | Updated Dec. 6, 2017
Integral Rectangles
A large rectangle is partitioned into smaller rectangles, each of which has either integer height or integer width or both. Prove that the large rectangle also has this property.
Mathematics
Puzzles
Geometry
Puzzles
interview question
math puzzle
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Undergraduate
By
Shiva Kintali
on June 10, 2012 | Updated Dec. 6, 2017
Stick triangle
A stick is broken at random into three pieces. What is the probability that the pieces can form a triangle?
Mathematics
Puzzles
Geometry
Probability
Puzzles
math puzzle
0
High School
By
True IITJEE
on Jan. 16, 2017 | Updated Jan. 3, 2018
JEE Advanced 2016 Paper 1 Mathematics Question 45
In a triangle XYZ, let x, y, z be the lengths of sides opposite to the angles X, Y, Z respectively, and \(2s = x + y + z\). If \(\displaystyle\frac{s-x}{4} = \frac{s-y}{3} = \frac{s-z}{2}\) and area o…
Mathematics
Geometry
Trigonometry
circumcircle
incircle
jee
jee 2016
jee advanced
jee mathematics
0
High School
By
True IITJEE
on Jan. 16, 2017 | Updated Jan. 3, 2018
JEE Advanced 2016 Paper 1 Mathematics Question 49
Let RS be the diameter of the circle \(x^2 + y^2 = 1\), where S is the point \((1,0)\). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the p…
Mathematics
Geometry
Trigonometry
jee
jee 2016
jee advanced
jee mathematics
locus
normal
tangent
0
High School
By
Shiva Kintali
on May 7, 2014 | Updated Jan. 4, 2018
Quarter past three
How many degrees are there in the angle between the hour and minute of a clock when the time is a quarter past three ?
Mathematics
Puzzles
Geometry
Puzzles
geometry puzzle
0
Undergraduate
By
Shiva Kintali
on June 6, 2012 | Updated Dec. 6, 2017
Happy Ending Problem
Prove the following : Any set of five points in the plane in general position has a subset of four points that from the vertices of a convex quadrilateral. For any positive integer \(N\), any suffic…
Mathematics
Combinatorics
Geometry
counting
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