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High School
By
TrueShelf Inc.
on May 27, 2014 | Updated Jan. 16, 2017
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
1
Undergraduate
By
TrueShelf Inc.
on June 13, 2013 | Updated Jan. 16, 2017
Among the following sorting algorithms, which one has the least worst-case running time asymptotically ?
Computer Science
Algorithms
sorting
0
High School
By
TrueShelf Inc.
on May 29, 2014 | Updated Jan. 16, 2017
JEE-Advanced 2013 Mathematics 55
A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular box by folding after removing squares of equal area from all four corne…
Mathematics
Geometry
volume
0
High School
By
TrueShelf Inc.
on May 29, 2014 | Updated Jan. 16, 2017
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
jee
jee main
statistics
variance
0
Undergraduate
By
Shiva Kintali
on May 31, 2013 | Updated Jan. 16, 2017
Let \(b > 1\). Then \(\log_b((n^2)!)\) is
Mathematics
asymptotic analysis
0
High School
By
TrueShelf Inc.
on Jan. 17, 2017 | Updated Jan. 27, 2017
JEE Advanced 2016 Paper 1 Mathematics Question 51
Let \(m\) be the smallest positive integer such that the coefficient of \(x^2\) in the expansion of \((1+x)^2 + (1+x)^3 + \dots + (1+x)^{49} + (1+mx)^{50}\) is \((3n+1)\ \ {}^{51}C_{3}\) for some posi…
Mathematics
Combinatorics
binomial theorem
jee
jee 2016
jee advanced
jee mathematics
0
High School
By
TrueShelf Inc.
on Jan. 9, 2017 | Updated Jan. 27, 2017
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
Undergraduate
By
Shiva Kintali
on May 31, 2013 | Updated Jan. 16, 2017
Evaluate the following summation \(\sum_{i=1}^n {i^{-1/2}}\)
Mathematics
Discrete Mathematics
asymptotic analysis
summation
0
High School
By
TrueShelf Inc.
on Jan. 29, 2017
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
TrueShelf Inc.
on Jan. 7, 2017 | Updated Jan. 27, 2017
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
1
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3
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