Home
Class 11
MATHS
Find the equation of the locus of the po...

Find the equation of the locus of the point P such that the line segment AB, joining the points A(1, -6) and B(4, -2), subtends a right angle at P.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)-5x+8y+16=0`
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise EXERCISE 6.2|32 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise EXERCISE 6.3|25 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise SECTION - D|5 Videos

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - D (5 - MARK)|4 Videos

Similar Questions

Explore conceptually related problems

Find the mid points of the line segment joining the points .

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

Find the corrdinate of the points of trisection of the line segment joining the points A (-5,6) and B(4,-3).

Find the general equation of the circle whose diameter is the line segment joining the points (-4,-2) and (1,1)

Find the equation of the perpendicular bisector of the line segment joining the points A(2, 3) and B(6, -5).

Find the coordinates of the points of trisection of the line segment joining the points A(2,-2) and B(-7, 4).

Find the equation of the perpendicular bisector of the line segment joining the points (1, 1) and (2,3).

Find the coordinate of the point of the point which divides the line segment joining the points A(4,-3) and B(9,7) in the ratio 3:2.

The coordinates of a point which trisect the line segment joining the points P(4,2,-6) and Q(10,-16 ,6)

Find the equation of the right bisector of the line segment joining the points (3, 4) " and " (-1, 2) .