Home
Class 9
MATHS
The equation of a line passing through P...

The equation of a line passing through P (3,4) such that P bisects the part of it intercepted between the coordinate axes is `"_______"`.

A

3x + 4y = 25

B

4x + 3y = 24

C

x - y = -1

D

x + y = 7

Text Solution

Verified by Experts

The correct Answer is:
B
(i) P is the mid-point of the line joining the inter-cepts. Find the intercepts using the mid-point formula.
(ii) Let the line cut coodinate axes at `A(a,0)` and `B(0,b)`.
(iii) Using the above data find a and b, then the equation of line, i.e, `x/a + y/b = 1`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Equation of the line through (alpha, beta) which is the midpoint of the line intercepted between the coordinate axes is

Find the equation of a line which passes through the point (3,1) and bisects the portion of the line 3x+4y=12 intercepted between coordinate axes.

The length of the perpendicular from the point (0,0) to the straight line passing through P(1,2) such that P- bisects the intercepted part between axes.

The equation of the line through the origin which bisects the portion of the line 3x-y=12 intercepted between the axes is

The equation of the line which is such that the portion of line segment intercepted between the coordinate axes is bisected at (4,-3), is

Find the equation of line passing through (2.4) and parallel to the line having intercepts -5 and 10 on the coordinate axes.

Find the equation of the straight line passing through the origin and bisecting the portion of the line ax+by+c=0 intercepted between of the coordinate axes.

The equation of the line passing through the point (-3,1) and bisecting the angle between coordinate axes is

What is the equation of straight line passing through the point (4, 3) and making equal intercepts on the coordinate axes ?

The equation straight line such that the portion of it intercepted between the coordinate axes is bisected at the point (h,k) is :