-->

Coordinate Geometry

Question

If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?

Solution

Let the points X (4,k) and Y(1,0)
It is given that the distance XY is 5 units.
By using the distance formula,
$XY space equals space square root of left parenthesis 4 minus 1 right parenthesis squared space plus left parenthesis straight k minus 0 right parenthesis squared end root rightwards double arrow space 5 space equals space square root of 9 plus left parenthesis straight k right parenthesis squared end root rightwards double arrow space 25 space equals space 9 space plus straight k squared rightwards double arrow 16 space equals space straight k squared rightwards double arrow plus-or-minus space 4 space equals space straight k$

For Daily Free Study Material Join wiredfaculty

Coordinate Geometry

If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?

Some More Questions From Coordinate Geometry Chapter

Prove that the diagonals of a rectangle ABCD, with vertices A(2, -1), B(5, -1), C(5, 6) and D(2, 6), are equal and bisect each other.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction