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The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is
- a)-5x+4y+1=0
- b)-5x-4y+1=0
- c)5x+4y+1=0
- d)5x-4y+1=0
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The condition that the point (x,y) may lie on the line joining (3,4) a...
Since the point P(x,y) lies on the line joining A(3,4) and B(-5,-6),
Therefore, points P, A and B are collinear points.
So, area of triangle PAB = 0
Therefore, we have:
10x-18-3y-5y+20=0
10x-8y+2=0
5x-4y+1=0 , which is the required condition.
Most Upvoted Answer
The condition that the point (x,y) may lie on the line joining (3,4) a...
Given points are (3,4) and (-5,-6).
Let (x,y) be a point on the line joining the given points.
Slope of the line joining the given points = (y2-y1)/(x2-x1) = (-6-4)/(-5-3) = -10/-8 = 5/4
Using point-slope form of a line, the equation of the line joining the given points is:
(y-4)/(x-3) = 5/4
Multiplying both sides by 4(x-3), we get:
4(y-4) = 5(x-3)
Expanding, we get:
4y - 16 = 5x - 15
Rearranging, we get:
5x - 4y = 1
Therefore, the correct option is D) 5x - 4y + 1 = 0.
Let (x,y) be a point on the line joining the given points.
Slope of the line joining the given points = (y2-y1)/(x2-x1) = (-6-4)/(-5-3) = -10/-8 = 5/4
Using point-slope form of a line, the equation of the line joining the given points is:
(y-4)/(x-3) = 5/4
Multiplying both sides by 4(x-3), we get:
4(y-4) = 5(x-3)
Expanding, we get:
4y - 16 = 5x - 15
Rearranging, we get:
5x - 4y = 1
Therefore, the correct option is D) 5x - 4y + 1 = 0.
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Community Answer
The condition that the point (x,y) may lie on the line joining (3,4) a...
The condition that the point (xy) may lie on the line joining (3,4) and ( -5,-6) is
the most will get and they are the xy may
(3,4) and ( -5,-6)
5x- 4y + 1 = o
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the most will get and they are the xy may
(3,4) and ( -5,-6)
5x- 4y + 1 = o
why that the level is condition and they're are to all show here and the average number is being to here and they and last and easy to solve
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The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) isa)-5x+4y+1=0b)-5x-4y+1=0c)5x+4y+1=0d)5x-4y+1=0Correct answer is option 'D'. Can you explain this answer?
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