Find the equation of the straight line whose portion is intercepted in between the axes is bisected at (2,3).
Answers
Step-by-step explanation:
A straight line passes through the point (2,3) and the portion of the line intercepted between the axis is bisected at this point. What is the equation of the line?
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Let P(2,3) be the point passes through the line
Let a,b be x-intersept and y-intersept of line respectively
∵ Point P(2,3) bisect the points (a,0) and (0,b)
∴ we have 2=a+02 and 3=b+02
∴a=4 and b=6
∴ by using intersept form
x4+y6=1
graph :
Find the equation of a straight line which passes through the point (3,-2) and cuts off positive intercepts on the x-axis and y-axis which are in the ratio of 4:3?
What is the equation of the straight line passing through the point (3,-4) and cutting of intercepts equal but of opposite signs from the two axis?
What is the length of portion of the line intercepted between the coordinate axes if a line passes through the points (3,3) and (7,6)?
The intercepts of a straight line are in the ratio of 2:1 and it bisects the line joining (3, -4) and (5, 2. What is the equation of the straight line?
A straight line passes through a point (a, b) which bisects the part of the line intercepted between the axes. How can it be shown that the equation of line is x/a+y/b=2?
So let's the point of intersection at y- axis be (0,y)
And point of x- axis intersection be (x,0)
The mid point of this to points is give as (2,3)
So,
(x+0)/2 = 2. And (0+y)/2 = 3
Which on solving give
x=4 and y = 6
A line passing through (4,0) and (0,6) will be the required line
Which is on using 2 point line eq.
3x+2y=12 …….(answer)
Answer:the straight line passes through itStep-by-step explanation:according to the question 3 and -2...
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