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Recent questions tagged quadratic-equations
1
vote
2
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31
ISI2016-MMA-3
The number of real roots of the equation $2 \cos \big(\frac{x^2+x}{6}\big)=2^x+2^{-x}$ is $0$ $1$ $2$ $\infty$
go_editor
asked
in
Quantitative Aptitude
Sep 13, 2018
by
go_editor
503
views
isi2016-mmamma
trigonometry
quadratic-equations
roots
0
votes
0
answers
32
ISI2016-MMA-29
Suppose $a$ is a real number for which all the roots of the equation $x^4 -2ax^2+x+a^2-a=0$ are real. Then $a<-\frac{2}{3}$ $a=0$ $0<a<\frac{3}{4}$ $a \geq \frac{3}{4}$
go_editor
asked
in
Quantitative Aptitude
Sep 13, 2018
by
go_editor
220
views
isi2016-mmamma
quantitative-aptitude
quadratic-equations
roots
4
votes
2
answers
33
GATE2018 EE: GA-4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer? $4, 8, 18$ $4, 10, 16$ $4, 8, 28$ $8, 26, 28$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Feb 21, 2018
by
Lakshman Bhaiya
2.0k
views
gate2018-ee
general-aptitude
quantitative-aptitude
easy
quadratic-equations
3
votes
2
answers
34
GATE2018 ME-1: GA-7
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
Arjun
asked
in
Quantitative Aptitude
Feb 17, 2018
by
Arjun
1.3k
views
gate2018-me-1
general-aptitude
quantitative-aptitude
quadratic-equations
system-of-equations
3
votes
1
answer
35
ISI 2015 PCB A2
Find all real solutions of the equation $x^{2} - |x-1| - 3 = 0$
Devasish Ghosh
asked
in
Others
Mar 4, 2017
by
Devasish Ghosh
525
views
engineering-mathematics
quadratic-equations
isi2015
8
votes
1
answer
36
GATE2016 EC-2: GA-4
Given $(9 \text{ inches}) ^{\frac{1}{2}} = (0.25\text{ yards}) ^{\frac{1}{2}},$ which one of the following statements is TRUE? $3$ inches = $0.5$ yards $9$ inches = $1.5$ yards $9$ inches = $0.25$ yards $81$ inches = $0.0625$ yards
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 20, 2017
by
makhdoom ghaya
2.3k
views
gate2016-ec-2
quantitative-aptitude
quadratic-equations
8
votes
1
answer
37
Radix+Quadratic equation
The radix of the number invovled in quadratic equation is, $x^2-10x+39=0$, if the solutions to the quadratic equation is $6$ and $9$ $12$ $13$ $15$ $9$
Rahul Jain25
asked
in
Digital Logic
Oct 12, 2016
by
Rahul Jain25
2.4k
views
digital-logic
quadratic-equations
number-representation
1
vote
1
answer
38
UGC NET CSE | June 2013 | Part 3 | Question: 11
The golden ratio $\varphi$ and its conjugate $\bar{\varphi}$ both satisfy the equation $x^3 –x-1=0$ $x^3 +x-1=0$ $x^2 –x-1=0$ $x^2 +x-1=0$
go_editor
asked
in
Others
Jul 16, 2016
by
go_editor
1.8k
views
ugcnetcse-june2013-paper3
quadratic-equations
1
vote
1
answer
39
B.Stat. 2005
If $\sqrt{3}$ + 1 is a root of equation 3 x$^{3}$ + ax$^{2}$ + bx + 12 = 0 where a and b are rational numbers, then b is equal to -6 2 6 10
vijaycs
asked
in
Quantitative Aptitude
Mar 22, 2016
by
vijaycs
457
views
quantitative-aptitude
quadratic-equations
normal
13
votes
2
answers
40
GATE2013 EE: GA-8
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p–1) = 0$ are of opposite sign is $(–∞, 0)$ $(0, 1)$ $(1, ∞)$ $(0, ∞)$
Akash Kanase
asked
in
Quantitative Aptitude
Feb 16, 2016
by
Akash Kanase
3.3k
views
gate2013-ee
quantitative-aptitude
quadratic-equations
21
votes
3
answers
41
GATE CSE 2016 Set 2 | Question: GA-05
In a quadratic function, the value of the product of the roots $(\alpha, \beta)$ is $4$. Find the value of $\dfrac{\alpha^{n}+\beta^{n}}{\alpha^{-n}+\beta^{-n}}$ $n^{4}$ $4^{n}$ $2^{2n-1}$ $4^{n-1}$
Akash Kanase
asked
in
Quantitative Aptitude
Feb 12, 2016
by
Akash Kanase
5.4k
views
gatecse-2016-set2
quantitative-aptitude
quadratic-equations
normal
16
votes
1
answer
42
GATE2015 EC-2: GA-9
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$
Akash Kanase
asked
in
Quantitative Aptitude
Feb 12, 2016
by
Akash Kanase
2.2k
views
gate2015-ec-2
numerical-answers
quantitative-aptitude
quadratic-equations
0
votes
1
answer
43
CAT2009-4
The ratio of the roots of $bx^{2}+nx+n=0$ is $p : q$, then $\sqrt{\frac{q}{p}}+\sqrt{\frac{p}{q}}+\sqrt{\frac{l}{n}}=0$ $\sqrt{\frac{p}{q}}+\sqrt{\frac{q}{p}}+\sqrt{\frac{n}{l}}=0$ $\sqrt{\frac{q}{p}}+\sqrt{\frac{p}{q}}+\sqrt{\frac{n}{l}}=0$ $\sqrt{\frac{p}{q}}+\sqrt{\frac{q}{p}}+\sqrt{\frac{l}{n}}=0$
makhdoom ghaya
asked
in
Quantitative Aptitude
Dec 30, 2015
by
makhdoom ghaya
312
views
cat2009
quantitative-aptitude
quadratic-equations
14
votes
3
answers
44
GATE2011 MN: GA-62
A student attempted to solve a quadratic equation in $x$ twice. However, in the first attempt, he incorrectly wrote the constant term and ended up with the roots as $(4, 3)$. In the second attempt, he incorrectly wrote down the coefficient of $x$ ... above information, the roots of the correct quadratic equation are $(-3, 4)$ $(3, -4)$ $(6, 1)$ $(4, 2)$
Akash Kanase
asked
in
Quantitative Aptitude
Dec 19, 2015
by
Akash Kanase
1.5k
views
gate2011-mn
quadratic-equations
quantitative-aptitude
29
votes
6
answers
45
GATE CSE 2014 Set 1 | Question: GA-5
The roots of $ax^{2}+bx+c = 0$ are real and positive. $a, b$ and $c$ are real. Then $ax^{2}+b\mid x \mid + c =0$ has no roots $2$ real roots $3$ real roots $4$ real roots
gatecse
asked
in
Quantitative Aptitude
Sep 15, 2014
by
gatecse
8.8k
views
gatecse-2014-set1
quantitative-aptitude
quadratic-equations
normal
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