MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Coordinates of Points and Distances

a moving stra...

Question

a moving straight line always passes through the point (a.b).The locus of the middle point of the portion of the line intercepted between the axes of coordinates is?

Open in App

Solution

A moving straight line always passes through the point (a, b).The locus of the middle point of the portion of the line intercepted between the axes of coordinates are (a, 0) at x-axis and (0, b) at y-axis.

Suggest Corrections

thumbs-up

0

Similar questions

Q. A line passes through the point (3,-2). Find the locus of the middle point of the portion of the line intercepted between the axis.

Q. A parabola touches two given straight lines at given points; prove that the locus of the middle point of the portion of any tangent which is intercepted between the given straight lines is a straight line.

Q. The locus of the middle points of the segment of a line passing through the point of intersection of the lines

2 x - y + 1 = 0

3 x + 2 y - 1 = 0

and intercepted between the axes, is:

Q. Locus of the mid-points of the intercepts between the coordinate axes by the lines passing through a fixed point

(a, 0)

Q. A straight line passes through the point (α, β) and this point bisects the portion of the line intercepted between the axes. Show that the equation of the straight line is

\frac{x}{2 α} + \frac{y}{2 β} = 1

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Applications of Gauss' Law and the Idea of Symmetry

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Coordinates of Points and Distances

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon