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Recent questions tagged quadratic-equations
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Best Open Video Playlist for Quadratic Equations Topic | Quantitative Aptitude
Please list out the best free available video playlist for Quadratic Equations from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 28
by
makhdoom ghaya
29
views
missing-videos
free-videos
go-classroom
video-links
quadratic-equations
4
votes
1
answer
2
GATE CSE 2022 | GA Question: 3
Let $r$ be a root of the equation $x^{2} + 2x + 6 = 0.$ Then the value of the expression $(r+2) (r+3) (r+4) (r+5)$ is $51$ $-51$ $126$ $-126$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
1.4k
views
gatecse-2022
quantitative-aptitude
quadratic-equations
0
votes
1
answer
3
Given that the r is the root of the quadratic equation $x^2 + 2x + 6=0.$
Given that $r$ is the root of the quadratic equation $x^2 + 2x + 6=0,$ what is the value of the expression $(r+2)(r+3)(r+4)(r+5)?$
umangbhatt
asked
in
Quantitative Aptitude
Feb 6
by
umangbhatt
365
views
quadratic-equations
8
votes
3
answers
4
GATE CSE 2021 Set 2 | GA Question: 4
If $\left( x – \dfrac{1}{2} \right)^2 – \left( x- \dfrac{3}{2} \right) ^2 = x+2$, then the value of $x$ is: $2$ $4$ $6$ $8$
Arjun
asked
in
Quantitative Aptitude
Feb 18, 2021
by
Arjun
1.9k
views
gatecse-2021-set2
quantitative-aptitude
quadratic-equations
1
vote
2
answers
5
UGC NET CSE | October 2020 | Part 2 | Question: 8
What is the radix of the numbers if the solution to the quadratic equation $x^2-10x+26=0$ is $x=4$ and $x=7$? $8$ $9$ $10$ $11$
go_editor
asked
in
Quantitative Aptitude
Nov 20, 2020
by
go_editor
1.6k
views
ugcnetcse-oct2020-paper2
quadratic-equations
3
votes
2
answers
6
GATE ECE 2020 | GA Question: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
562
views
gate2020-ec
quantitative-aptitude
quadratic-equations
1
vote
1
answer
7
ISI2014-DCG-11
Let $x_1$ and $x_2$ be the roots of the quadratic equation $x^2-3x+a=0$, and $x_3$ and $x_4$ be the roots of the quadratic equation $x^2-12x+b=0$. If $x_1, x_2, x_3$ and $x_4 \: (0 < x_1 < x_2 < x_3 < x_4)$ are in $G.P.,$ then $ab$ equals $64$ $5184$ $-64$ $-5184$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
294
views
isi2014-dcg
quadratic-equations
2
votes
2
answers
8
ISI2014-DCG-22
The conditions on $a$, $b$ and $c$ under which the roots of the quadratic equation $ax^2+bx+c=0 \: ,a \neq 0, \: b \neq 0 $ and $c \neq 0$, are unequal magnitude but of the opposite signs, are the following: $a$ and $c$ have the same sign while $b$ has the ... $c$ has the opposite sign. $a$ and $c$ have the same sign. $a$, $b$ and $c$ have the same sign.
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
316
views
isi2014-dcg
quantitative-aptitude
quadratic-equations
2
votes
1
answer
9
ISI2014-DCG-30
Consider the equation $P(x) =x^3+px^2+qx+r=0$ where $p,q$ and $r$ are all real and positive. State which of the following statements is always correct. All roots of $P(x) = 0$ are real The equation $P(x)=0$ has at least one real root The equation $P(x)=0$ has no negative real root The equation $P(x)=0$ must have one positive and one negative real root
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
267
views
isi2014-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
10
ISI2014-DCG-48
If $x$ is real, the set of real values of $a$ for which the function $y=x^2-ax+1-2a^2$ is always greater than zero is $- \frac{2}{3} < a \leq \frac{2}{3}$ $- \frac{2}{3} \leq a < \frac{2}{3}$ $- \frac{2}{3} < a < \frac{2}{3}$ None of these
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
193
views
isi2014-dcg
calculus
functions
quadratic-equations
0
votes
1
answer
11
ISI2014-DCG-55
If $a,b,c$ are sides of a triangle $ABC$ such that $x^2-2(a+b+c)x+3 \lambda (ab+bc+ca)=0$ has real roots then $\lambda < \frac{4}{3}$ $\lambda > \frac{5}{3}$ $\lambda \in \big( \frac{4}{3}, \frac{5}{3}\big)$ $\lambda \in \big( \frac{1}{3}, \frac{5}{3}\big)$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
236
views
isi2014-dcg
quantitative-aptitude
geometry
quadratic-equations
1
vote
2
answers
12
ISI2015-MMA-13
The number of real roots of the equation $2 \cos \left( \frac{x^2+x}{6} \right) = 2^x +2^{-x} \text{ is }$ $0$ $1$ $2$ infinitely many
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
527
views
isi2015-mma
quantitative-aptitude
quadratic-equations
trigonometry
1
vote
1
answer
13
ISI2015-MMA-15
The number of real solutions of the equations $(9/10)^x = -3+x-x^2$ is $2$ $0$ $1$ none of the above
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
459
views
isi2015-mma
quantitative-aptitude
number-system
quadratic-equations
non-gate
2
votes
3
answers
14
ISI2015-MMA-16
If two real polynomials $f(x)$ and $g(x)$ of degrees $m\: (\geq 2)$ and $n\: (\geq 1)$ respectively, satisfy $f(x^2+1)=f(x)g(x),$ for every $x \in \mathbb{R}$, then $f$ has exactly one real root $x_0$ such that $f’(x_0) \neq 0$ $f$ has exactly one real root $x_0$ such that $f’(x_0) = 0$ $f$ has $m$ distinct real roots $f$ has no real root
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
509
views
isi2015-mma
quantitative-aptitude
quadratic-equations
functions
non-gate
0
votes
1
answer
15
ISI2015-DCG-7
Let $x^2-2(4k-1)x+15k^2-2k-7>0$ for any real value of $x$. Then the integer value of $k$ is $2$ $4$ $3$ $1$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
257
views
isi2015-dcg
quantitative-aptitude
quadratic-equations
roots
1
vote
1
answer
16
ISI2015-DCG-25
If $\alpha$ and $\beta$ be the roots of the equation $x^2+3x+4=0$, then the equation with roots $(\alpha + \beta)^2$ and $(\alpha – \beta)^2$ is $x^2+2x+63=0$ $x^2-63x+2=0$ $x^2-2x-63=0$ None of the above
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
238
views
isi2015-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
17
ISI2015-DCG-26
If $r$ be the ratio of the roots of the equation $ax^{2}+bx+c=0,$ then $\frac{r}{b}=\frac{r+1}{ac}$ $\frac{r+1}{b}=\frac{r}{ac}$ $\frac{(r+1)^{2}}{r}=\frac{b^{2}}{ac}$ $\left(\frac{r}{b}\right)^{2}=\frac{r+1}{ac}$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
158
views
isi2015-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
18
ISI2015-DCG-28
If one root of a quadratic equation $ax^2+bx+c=0$ be equal to the $n^{th}$ power of the other, then $(ac)^{\frac{n}{n+1}} +b=0$ $(ac)^{\frac{n+1}{n}} +b=0$ $(ac^{n})^{\frac{1}{n+1}} +(a^nc)^{\frac{1}{n+1}}+b=0$ $(ac^{\frac{1}{n+1}})^n +(a^{\frac{1}{n+1}}c)^{n+1}+b=0$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
138
views
isi2015-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
19
ISI2015-DCG-30
Let $p,q,r,s$ be real numbers such that $pr=2(q+s)$. Consider the equations $x^2+px+q=0$ and $x^2+rx+s=0$. Then at least one of the equations has real roots both these equations have real roots neither of these equations have real roots given data is not sufficient to arrive at any conclusion
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
160
views
isi2015-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
20
ISI2016-DCG-7
Let $x^{2}-2(4k-1)x+15k^{2}-2k-7>0$ for any real value of $x$. Then the integer value of $k$ is $2$ $4$ $3$ $1$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
154
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
1
vote
1
answer
21
ISI2016-DCG-25
If $\alpha$ and $\beta$ be the roots of the equation $x^{2}+3x+4=0,$ then the equation with roots $(\alpha+\beta)^{2}$ and $(\alpha-\beta)^{2}$ is $x^{2}+2x+63=0$ $x^{2}-63x+2=0$ $x^{2}-2x-63=0$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
176
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
1
vote
2
answers
22
ISI2016-DCG-26
If $r$ be the ratio of the roots of the equation $ax^{2}+bx+c=0,$ then $\frac{r}{b}=\frac{r+1}{ac}$ $\frac{r+1}{b}=\frac{r}{ac}$ $\frac{(r+1)^{2}}{r}=\frac{b^{2}}{ac}$ $\left(\frac{r}{b}\right)^{2}=\frac{r+1}{ac}$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
245
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
1
vote
1
answer
23
ISI2016-DCG-28
If one root of a quadratic equation $ax^{2}+bx+c=0$ be equal to the n th power of the other, then $(ac)^{\frac{n}{n+1}}+b=0$ $(ac)^{\frac{n+1}{n}}+b=0$ $(ac^{n})^{\frac{1}{n+1}}+(a^{n}c)^{\frac{1}{n+1}}+b=0$ $(ac^\frac{1}{n+1})^{n}+(a^\frac{1}{n+1}c)^{n+1}+b=0$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
256
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
1
vote
0
answers
24
ISI2016-DCG-29
The condition that ensures that the roots of the equation $x^{3}-px^{2}+qx-r=0$ are in H.P. is $r^{2}-9pqr+q^{3}=0$ $27r^{2}-9pqr+3q^{3}=0$ $3r^{3}-27pqr-9q^{3}=0$ $27r^{2}-9pqr+2q^{3}=0$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
155
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
25
ISI2016-DCG-30
Let $p,q,r,s$ be real numbers such that $pr=2(q+s).$ Consider the equations $x^{2}+px+q=0$ and $x^{2}+rx+s=0.$ Then at least one of the equations has real roots. both these equations have real roots. neither of these equations have real roots. given data is not sufficient to arrive at any conclusion.
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
183
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
26
ISI2017-DCG-5
The sum of the squares of the roots of $x^2-(a-2)x-a-1=0$ becomes minimum when $a$ is $0$ $1$ $2$ $5$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
218
views
isi2017-dcg
quantitative-aptitude
quadratic-equations
roots
2
votes
3
answers
27
NIELIT 2018-17
If $2a+3b+c=0$, then at least one root of the equation $ax^2+bx+c=0$, lies in the interval: $(0,1)$ $(1,2)$ $(2,3)$ $(1,3)$
Arjun
asked
in
Quantitative Aptitude
Dec 7, 2018
by
Arjun
497
views
nielit-2018
general-aptitude
quantitative-aptitude
quadratic-equations
1
vote
1
answer
28
ISI2016-PCB-A-1
If $\alpha, \beta, \gamma$ are the roots of the equation $x^3+6x+1=0$, then prove that $\frac{\alpha}{\beta} + \frac{\beta}{\alpha} + \frac{\beta}{\gamma}+ \frac{\gamma}{\beta} + \frac{\gamma}{\alpha}+ \frac{\alpha}{\gamma}=-3.$
go_editor
asked
in
Quantitative Aptitude
Sep 18, 2018
by
go_editor
286
views
isi2016-pcb-a
quantitative-aptitude
quadratic-equations
roots
descriptive
1
vote
2
answers
29
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
322
views
isi2016-mmamma
trigonometry
quadratic-equations
roots
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