(B) The given equation of the parabola is $(x+3)^2 = 2(y-5)$.Comparing this with the standard form $(x-h)^2 = 4a(y-k)$,we get the vertex $(h, k) = (-3

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) The given equation of the parabola is $(x+3)^2 = 2(y-5)$.Comparing this with the standard form $(x-h)^2 = 4a(y-k)$,we get the vertex $(h, k) = (-3, 5)$.Here,$4a = 2$,which implies $a = 1/2$.The focus of a parabola of the form $(x-h)^2 = 4a(y-k)$ is given by $(h, k+a)$.Substituting the values,the focus is $(-3, 5 + 1/2) = (-3, 11/2)$.Thus,option $B$ is correct.

Class 11 Mathematics 10-2. Parabola, Ellipse, Hyperbola Parabola

Easy

The coordinates of the focus of the parabola $(x+3)^2 = 2(y-5)$ are

AP EAMCET 2020 All AP EAMCET

A
$(-5/2, 5)$
B
$(-3, 11/2)$
C
$(3, -11/2)$
D
$(0, 1/2)$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

10-2. Parabola, Ellipse, Hyperbola

Subtopic

Parabola

Previous Year

AP EAMCET 2020 Paper All AP EAMCET years →

If the vertex of the conic $y^{2}-4y=4x-4a$ always lies between the straight lines $x+y=3$ and $2x+2y-1=0$,then:

MediumWBJEE 2016

View Solution

What is the equation of the tangent to the curve $x^2 = -4y$ at the point $(-4, -4)$?

Easy

View Solution

If the normal to the parabola $y^2=4x$ at $P(1,2)$ meets the parabola again at $Q$,then the coordinates of $Q$ are

EasyTS EAMCET 2001

View Solution

The equation of the tangent to the parabola $y = (x - 3)^2$ parallel to the chord joining the points $(3, 0)$ and $(4, 1)$ is:

View Solution

If $(2, -8)$ is one endpoint of a focal chord of the parabola $y^{2} = 32x$,what is the other endpoint?

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The coordinates of the focus of the parabola $(x+3)^2 = 2(y-5)$ are

Similar Questions

If the vertex of the conic $y^{2}-4y=4x-4a$ always lies between the straight lines $x+y=3$ and $2x+2y-1=0$,then:

What is the equation of the tangent to the curve $x^2 = -4y$ at the point $(-4, -4)$?

If the normal to the parabola $y^2=4x$ at $P(1,2)$ meets the parabola again at $Q$,then the coordinates of $Q$ are

The equation of the tangent to the parabola $y = (x - 3)^2$ parallel to the chord joining the points $(3, 0)$ and $(4, 1)$ is:

If $(2, -8)$ is one endpoint of a focal chord of the parabola $y^{2} = 32x$,what is the other endpoint?

Vedclass Test Series

Exam Paper Generator

Online Exam Module