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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
0
Undergraduate
By
rizwanhudda
on Aug. 24, 2012 | Updated Dec. 6, 2017
Second Minimum spanning tree
Given an weighted undirected graph \( G = (V, E)\), and \(w : E \mapsto R^+\). Let T be MST i,e minimum spanning tree of graph G. Second MST is a Tree T' different from T, and its weight is less t…
Computer Science
Mathematics
Algorithms
Graph Theory
trees
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
1
High School
By
True IITJEE
on May 29, 2014 | Updated Jan. 3, 2018
JEE-Main 2013 Mathematics 35
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even aft…
Mathematics
Mathematics
jee
jee main
statistics
variance
0
High School
By
True IITJEE
on Jan. 9, 2017 | Updated Jan. 3, 2018
JEE Advanced 2016 Paper 1 Mathematics Question 38
A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to in…
Mathematics
Combinatorics
jee
jee 2016
jee advanced
jee mathematics
0
High School
By
True IITJEE
on Jan. 9, 2017 | Updated Jan. 3, 2018
JEE Advanced 2016 Paper 1 Mathematics Question 39
Let \(S = \displaystyle\{ x \in (-\pi, \pi) : x \neq 0, \pm \frac{\pi}{2}\}\). The sum of all distinct solutions of the equation …
Mathematics
Algebra
Trigonometry
equation
jee
jee 2016
jee advanced
jee mathematics
0
High School
By
True IITJEE
on Jan. 29, 2017 | Updated Jan. 3, 2018
JEE Advanced 2016 Paper 2 Mathematics Question 39
The value \(\displaystyle\sum_{k=1}^{13}\frac{1}{\text{sin}{\left(\frac{\pi}{4} + \frac{(k-1)\pi}{6}\right)}\text{sin}{\left(\frac{\pi}{4} + \frac{k\pi}{6}\right)}}\) is equal to
Mathematics
Algebra
Trigonometry
jee
jee 2016
jee advanced
jee mathematics
summation
0
High School
By
True IITJEE
on Jan. 7, 2017 | Updated Jan. 3, 2018
JEE Advanced 2016 Paper 1 Mathematics Question 41
The least value of \(\alpha \in \mathbb{R}\) for which \(4\alpha {x}^2 + \frac{1}{x} \geq 1\), for all \(x > 0\), is
Mathematics
Calculus
differentiation
inequality
jee
jee 2016
jee advanced
jee mathematics
0
Undergraduate
By
Shiva Kintali
on June 8, 2012 | Updated Dec. 6, 2017
Linear time algorithms on trees
Let \(T(V,E)\) be a tree. Design linear time (i.e., \(O(|V|)\) time) algorithms for the following problems : Find an optimal vertex cover in \(T\). Find a maximum matching in \(T\). Find a maximum i…
Computer Science
Mathematics
Algorithms
Graph Theory
independent set
linear time algorithms
matching
trees
vertex cover
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
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jee mathematics
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