A point P move along the y-axis. Another...

A point `P` move along the y-axis. Another point `Q` moves so that the fixed straight line `x cos alpha +y sin alpha = p` is the perpendicular bisector of the line segment `PQ`.Find the locus of `Q`.

AI Generated Solution

Similar Questions

Explore conceptually related problems

The line x-4y =6 is the perpendicular bisector of the line segment AB. If B= (1, 3), find the co-ordinates of point A.

Draw a line segment P Q of length 8.4cm. Draw the perpendicular bisector of this line segment.

The point A (2,7) lies on the perpendicular bisector of the line segment joining the points P (5,-3) and Q(0,-4).

Draw a line segment P Q length 8. 4\ c mdot Draw the perpendicular bisector of this line segment.

A point P lies on the x-axis and another point Q lies on the y-axis. Write the ordinate of point P.

A point P lies on the x-axis and another point Q lies on the y-axis. Write the abscissa of point Q.

A point P lies on x-axis and another point Q lies on y-axis. Write the ordinate of the point P.

A point P lies on x-axis and another point Q lies on y-axis. Write the abscissa of the point Q.

Prove that the locus of a point equidistant from the extermities of a line segment is the perpendicular bisector if it.

Find the length of perpendicular from the point (a cos alpha, a sin alpha) to the line x cos alpha+y sin alpha=p .