>
Exams
>
Mathematics
>
Application of Integrals
>
the orthogonal trajectory of the cardioid r a 1 co
Question:
The orthogonal trajectory of the cardioid r = a(1+cos θ), a being the parameter is:
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 12, 2025
r= a(1-cosθ)
r = a cosθ
r = a(1+cosθ)
r=a(1+sinθ)
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
The correct option is(A):r= a(1-cosθ)
Download Solution in PDF
Was this answer helpful?
0
1
Top Questions on Application of Integrals
The area of the region, inside the ellipse \(x^2+4y^2=4\) and outside the region bounded by the curves \(y=x-1\) and \(y=1-x\), is:
JEE Main - 2026
Mathematics
Application of Integrals
View Solution
If the area of the region \( \{ (x, y) : x^2 + 1 \leq y \leq 3 - x \} \) is divided by the line \( x = -1 \) in the ratio \( m : n \) (where \( m \) and \( n \) are coprime natural numbers), then the value of \( m + n \) is:
JEE Main - 2026
Mathematics
Application of Integrals
View Solution
The area bounded by \[ 2 - 4x \leq y \leq x^2 + 4 \quad \text{and} \quad x = \frac{1}{2}, \, x \geq 0, \, y \geq 0 \] (in square units) is:
JEE Main - 2026
Mathematics
Application of Integrals
View Solution
Area enclosed by
\[ x^2 + 4y^2 \leq 4, \quad |x| \leq 1, \quad y \geq 1 - |x| \text{ is} \]
JEE Main - 2026
Mathematics
Application of Integrals
View Solution
\[ \int \frac{x + 5}{(x + 6)^2} e^x \, dx \] is equal to:
CBSE CLASS XII - 2025
Mathematics
Application of Integrals
View Solution
View More Questions
Questions Asked in CUET PG exam
Upper palaeolithic culture in India is dominated by:
CUET (PG) - 2025
Prehistoric Archaeology
View Solution
Which of the following species are included among gracile australopithecines?
A. A. africanus
B. A. boisei
C. A. afarensis
D. A. anamensis
Choose the correct answer from the options given below:
CUET (PG) - 2025
Paleoanthropology
View Solution
A bought an article at a certain price and sold it at 10% profit. B bought the same article at a price 10% lesser than A and sold it at ₹18 lesser than A. B's gain percentage in this deal is 20%. At what price B bought the article?
CUET (PG) - 2025
Profit and Loss
View Solution
The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they all change simultaneously at 8:20:00 hours, then at what time will they again change simultaneously?
CUET (PG) - 2025
Quantitative Aptitude
View Solution
In terracotta which materials are mainly used to build strong clay
(A) Grog
(B) Metal
(C) Cotton
(D) Stone
Choose the correct answer from the options given below:
CUET (PG) - 2025
Ceramics and Pottery
View Solution
View More Questions