Math, asked by adityamayank11, 6 months ago

Find the equation of the straight line whose portion is intercepted in between the axes is bisected at (2,3).​

Answers

Answered by sapnakumare27271
4

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)

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Answered by kaurkhushpreet696
1

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Answer:the straight line passes through itStep-by-step explanation:according to the question 3 and -2...

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