>
Exams
>
Mathematics
>
Parabola
>
the equation of parabola whose focus is 6 0 and di
Question:
The equation of parabola whose focus is (6, 0) and directrix is x = –6 is
KCET
Updated On:
Apr 26, 2024
$ y^2= 24x$
$ y^2= -24x$
$ x^2= 24y$
$ x^2= -24y$
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
The correct answer is Option (A) : $ y^2= 24x$
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Parabola
Let \( L_1, L_2 \) be the lines passing through the point \( P(0, 1) \) and touching the parabola \[ 9x^2 + 12x + 18y - 14 = 0. \] Let \( Q \) and \( R \) be the points on the lines \( L_1 \) and \( L_2 \) such that the \( \Delta PQR \) is an isosceles triangle with base \( QR \). If the slopes of the lines \( QR \) are \( m_1 \) and \( m_2 \), then \( 16\left(m_1^2 + m_2^2\right) \) is equal to ______.
JEE Main - 2024
Mathematics
Parabola
View Solution
Let \( C \) be the circle of minimum area touching the parabola \( y = 6 - x^2 \) and the lines \( y = \sqrt{3} |x| \). Then, which one of the following points lies on the circle \( C \)?
JEE Main - 2024
Mathematics
Parabola
View Solution
Let the length of the focal chord \( PQ \) of the parabola \( y^2 = 12x \) be 15 units. If the distance of \( PQ \) from the origin is \( p \), then \( 10p^2 \) is equal to _____
JEE Main - 2024
Mathematics
Parabola
View Solution
Let \( PQ \) be a chord of the parabola \( y^2 = 12x \) and the midpoint of \( PQ \) be at \( (4, 1) \). Then, which of the following points lies on the line passing through the points \( P \) and \( Q \)?
JEE Main - 2024
Mathematics
Parabola
View Solution
The area (in square units) of the region described by: \[ \{(x, y) : y^2 \leq 2x, \, \text{and} \, y \geq 4x - 1\} \] is:
JEE Main - 2024
Mathematics
Parabola
View Solution
View More Questions
Questions Asked in KCET exam
The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is v
rms
. The ratio of the velocities v and v
rms
for helium and oxygen gases are X and X' respectively. Then
\(\frac{X}{X'}\)
is equal to
KCET - 2023
Thermodynamics
View Solution
If
\(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\)
are in A.P., then p, q, r
KCET - 2023
Arithmetic Progression
View Solution
A stretched wire of a material whose Young's modulus Y = 2 × 10
11
Nm
-2
has Poisson's ratio of 0.25. Its lateral strain ε
l
= 10
-3
. The elastic energy density of the wire is
KCET - 2023
mechanical properties of solids
View Solution
A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field B
H
= 3 × 10
-5
T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms
-2
)
KCET - 2023
Faradays laws of induction
View Solution
A 60 W source emits monochromatic light of wavelength 662.5 nm. The number of photons emitted per second is
KCET - 2023
Quantum Physics
View Solution
View More Questions