Login
Remember
Register
Free Test Series
Q&A
Questions
Unanswered
Ask a Question
Ask a Question
If \(p, q\) are the roots of the equation \(x^{2}+p x+q=0\), then
0
votes
asked
Dec 8, 2021
in
Sets, relations and functions
by
anonymous
edited
Dec 20, 2021
by
deepak01
If \(p, q\) are the roots of the equation \(x^{2}+p x+q=0\), then
(A) \(p=1, q=-2\)
(B) \(p=0, q=1\)
(C) \(p=-2, q=0\)
(D) \(p=-2, q=1\)
Your answer
Your name to display (optional):
Email me at this address if my answer is selected or commented on:
Email me if my answer is selected or commented on
Privacy: Your email address will only be used for sending these notifications.
1
Answer
0
votes
answered
Dec 20, 2021
by
deepak01
(
12.2k
points)
Ans: (A)
$$
\begin{aligned}
&2 p^{2}+q=0 \\
&q(p+q+1)=0
\end{aligned} \Rightarrow p=1, q=-2
$$
Your comment on this answer:
Your name to display (optional):
Email me at this address if a comment is added after mine:
Email me if a comment is added after mine
Privacy: Your email address will only be used for sending these notifications.
Related questions
0
votes
3
answers
If \(\alpha\) and \(\beta\) are roots of \(a x^{2}+b x+c=0\) then the equation whose roots are \(\alpha^{2}\) and \(\beta^{2}\) is
asked
Dec 8, 2021
in
Sets, relations and functions
by
deepak01
(
12.2k
points)
0
votes
3
answers
Let \(x_{1}, x_{2}\) be the roots of \(x^{2}-3 x+a=0\) and \(x_{3}, x_{4}\) be the roots of \(x^{2}-12 x+b=0\). If \(x_{1}<x_{2}<x_{3}<x_{4}\) and \(x_{1}\), \(x_{2}, x_{3}, x_{4}\) are in G.P. then \(a b\) equals
asked
Dec 11, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
3
answers
If the equation \(x^{2}-c x+d=0\) has roots equal to the fourth powers of the roots of \(x^{2}+a x+b=0\), where \(a^{2}>4 b\), then the roots of \(x^{2}-4 b x+2 b^{2}-c=0\) will be
asked
Dec 13, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
3
answers
Let \(\alpha, \beta\) be the roots of the equation \(x^{2}-6 x-2=0\) with \(\alpha>\beta\). If \(a_{n}=\alpha^{n}-\beta^{n}\) for \(n \geq 1\), then the value of \(\frac{a_{10}-2 a_{8}}{2 a_{9}}\) is
asked
Dec 9, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
3
answers
Let \(P\left(a t^{2}, 2 a t\right), Q, R\left(a r^{2}, 2 a r\right)\) be three points on a parabola \(y^{2}=4 a x\). If \(P Q\) is the focal chord and \(P K, Q R\) are parallel where the co-ordinates of \(K\) is \((2 a, 0)\), then the value of \(r\) is
asked
Dec 13, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
Welcome to Admisure, where you can ask questions and receive answers from other members of the community.
Categories
All categories
JEE
(1.3k)
Physics
(359)
Biology
(268)
Chemistry
(272)
Maths
(430)
Sets, relations and functions
(405)
Complex number and Quadratic equations
(1)
Matrices & determinants
(1)
Permutations and combinations
(11)
Mathematical induction
(1)
Binomial theorem
(1)
Sequences and series
(1)
Limit, continuity and differentiability
(1)
Integrals calculus
(1)
Differential equations
(1)
Co-ordinate geometry
(1)
Three-dimensional geometry
(1)
Vector algebra
(1)
Statistics and probability
(1)
Trigonometry
(1)
Mathematical reasoning
(1)
Statistics
(1)
Test
(139)
Statistics
(288)
Environmental Science
(1.2k)
Biotechnology
(135)
Social Science
(399)
Commerce
(222)
Electronics
(459)
Computer
(125)
Artificial Intelligence (AI)
(232)
Information Technology
(70)
Programming
(113)
Political Science
(82)
Home Science
(334)
Psychology
(138)
Sociology
(293)
English
(339)
Hindi
(34)
Aptitude
(21)
Reasoning
(11)
GK
(41)
Olympiad
(7)
Skill Tips
(14)
CBSE
(364)
...