Exams
Subjects
Classes
Home
Exams
Mathematics
types of relations
let r a b a leq b 2 be a ...
Question:
medium
Let $R = \{(a,b): a \leq b^2\}$ be a relation on the set of all real numbers. Then $R$ is
Show Hint
To disprove properties, a single counterexample is sufficient.
KEAM - 2019
KEAM
Updated On:
Apr 30, 2026
symmetric but not transitive
transitive but not symmetric
both symmetric and transitive
neither symmetric nor transitive
having finite range
Show Solution
The Correct Option is
D
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on types of relations
Let
\(f(x) = ax^2 + bx + c\)
be such that f(1) = 3, f(-2) = λ and f(3) = 4. If f(0) + f(1) + f(-2) + f(3) = 14, then λ is equal to
JEE Main - 2022
Mathematics
types of relations
View Solution
If ρ=\(x,y)mid x²+y²=1; x,y∈R
then ρ is
BITSAT - 2019
Mathematics
types of relations
View Solution
If
\(\rho=\{(x,y)\mid x^2+y^2=1;\ x,y\in\mathbb R\}\)
, then \(\rho\) is
BITSAT - 2015
Mathematics
types of relations
View Solution
Let \( R = \{(3,3), (6,6), (9,9), (12,12), (6,12), (3,9), (3,12), (3,6)\} \) be a relation on the set \( A = \{3,6,9,12\} \). Then, the relation is:
BITSAT - 2014
Mathematics
types of relations
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in KEAM exam
The dimension of mutual inductance is (Denote dimension of current as A)
KEAM - 2026
Electromagnetism
View Solution
A pure inductor of inductance \( 0.1 \, \text{H} \) is connected to an AC source (of rms voltage 220 V and angular frequency 300 Hz). The rms current is
KEAM - 2026
Magnetic Flux
View Solution
An object having a velocity of 5 m/s is accelerated at the rate 2 m/s\(^2\) for 6s. Find the distance travelled during the period of acceleration.
KEAM - 2026
Significant figures and Decimal Places
View Solution
A vehicle moving at 36 km/hr is to be stopped by applying brakes in the next 5 m. If the vehicle weighs 2000 kg, determine the average force that must be applied on it.
KEAM - 2026
Electron Emission
View Solution
Two masses connected in series with two massless strings are hanging from a support as shown in the figure. Find the tension in the upper string.
KEAM - 2026
Electric Potential and Electric Potential Energy
View Solution