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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.
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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?
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