JEE Exam > JEE Questions > The mirror image of the directrix of the para...
Start Learning for Free
The mirror image of the directrix of the parabola y2=4(x+1) in the line mirror x+2y=3, is
- a)x=−2
- b)4y−3x=16
- c)x−3y=0
- d)x+y=0
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The mirror image of the directrix of the parabolay2=4(x+1)in the line ...
-1
b)x=1
c)x=2
d)x=3
Solution:
The directrix of the parabola y2=4ax is given by the equation y=-a. So, the directrix of the given parabola y2=4(x-1) is y=-1.
The line of mirror x+2y=3 can be written as x=3-2y. We need to find the mirror image of the directrix y=-1 in this line.
The mirror image of a point (x,y) in the line x+2y=3 is given by the point (3-2y,x). So, the mirror image of the point (0,-1) (which lies on the directrix) is (3-2(-1),0), which simplifies to (5,0).
Therefore, the mirror image of the directrix y=-1 in the line mirror x+2y=3 is x=5 (since it is parallel to the y-axis).
Answer: x=5
b)x=1
c)x=2
d)x=3
Solution:
The directrix of the parabola y2=4ax is given by the equation y=-a. So, the directrix of the given parabola y2=4(x-1) is y=-1.
The line of mirror x+2y=3 can be written as x=3-2y. We need to find the mirror image of the directrix y=-1 in this line.
The mirror image of a point (x,y) in the line x+2y=3 is given by the point (3-2y,x). So, the mirror image of the point (0,-1) (which lies on the directrix) is (3-2(-1),0), which simplifies to (5,0).
Therefore, the mirror image of the directrix y=-1 in the line mirror x+2y=3 is x=5 (since it is parallel to the y-axis).
Answer: x=5
Free Test
FREE
| Start Free Test |
Community Answer
The mirror image of the directrix of the parabolay2=4(x+1)in the line ...
for the given parabola , y2=4(x+1)
directrix is x=−2. and Any point on it is (−2, k)
let mirror image of (-2,k) in the line x+2y=3 is (x,y)
From Eqs. (i) and (ii), we get
⇒4y -3x = 16 is the equation of the mirror image of the directrix.
directrix is x=−2. and Any point on it is (−2, k)
let mirror image of (-2,k) in the line x+2y=3 is (x,y)
From Eqs. (i) and (ii), we get
⇒4y -3x = 16 is the equation of the mirror image of the directrix.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer?
Question Description
The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer?.
The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer?.
Solutions for The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The mirror image of the directrix of the parabolay2=4(x+1)in the line mirror x+2y=3,isa)x=−2b)4y−3x=16c)x−3y=0d)x+y=0Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup