Quant Exam > Quant Questions > If the distance of the point P(x, y) from A(a...
Start Learning for Free
If the distance of the point P(x, y) from A(a, 0) is a + x, then y2 = ?
- a)8ax
- b)6ax
- c)4ax
- d)2ax
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?...
√(x-a)2+(y-0)2 = a + x
= (x-a)2+y2
= (a+x)2 => y2 = (x-a)2-(x-a)2-4ax => y2 = 4ax
= (x-a)2+y2
= (a+x)2 => y2 = (x-a)2-(x-a)2-4ax => y2 = 4ax
Most Upvoted Answer
If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?...
Concept:
The distance between two points P(x1, y1) and Q(x2, y2) in a plane is given by the formula:
Distance PQ = √((x2 - x1)^2 + (y2 - y1)^2)
Given:
Point A(a, 0) and Point P(x, y) such that the distance between them is a + x.
Calculation:
To find the distance between A and P:
a + x = √((x - a)^2 + y^2)
Squaring both sides:
(a + x)^2 = (x - a)^2 + y^2
a^2 + 2ax + x^2 = x^2 - 2ax + a^2 + y^2
4ax = y^2
Therefore, y^2 = 4ax
Therefore, the correct answer is option C which is 4ax.
The distance between two points P(x1, y1) and Q(x2, y2) in a plane is given by the formula:
Distance PQ = √((x2 - x1)^2 + (y2 - y1)^2)
Given:
Point A(a, 0) and Point P(x, y) such that the distance between them is a + x.
Calculation:
To find the distance between A and P:
a + x = √((x - a)^2 + y^2)
Squaring both sides:
(a + x)^2 = (x - a)^2 + y^2
a^2 + 2ax + x^2 = x^2 - 2ax + a^2 + y^2
4ax = y^2
Therefore, y^2 = 4ax
Therefore, the correct answer is option C which is 4ax.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer?
Question Description
If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer?.
If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the distance of the point P(x, y) from A(a, 0) is a + x, then y2= ?a)8axb)6axc)4axd)2axCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup to solve all Doubts
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!
within 7 days!
Takes less than 10 seconds to signup