Advertisements
Advertisements
प्रश्न
If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?
Advertisements
उत्तर
Consider the points A(4, k) and B(1, 0).
It is given that the distance AB is 5 units.
By distance formula, disance AB is as follows:
`AB = sqrt((4-1)^2 + (k - 0)^2)`
`=> 5 = sqrt(9 + (k)^2)`
`=> 25 = 9 + k^2`
`=> 16 = k^2`
`=> +- 4 = k`
Hence, value of ka are `+- 4`
APPEARS IN
संबंधित प्रश्न
Find the coordinates of the circumcentre of the triangle whose vertices are (8, 6), (8, – 2) and (2, – 2). Also, find its circum radius
Find the distance of a point P(x, y) from the origin.
Find the distance between the points
A(1,-3) and B(4,-6)
Find the distance of the following points from the origin:
(iii) C (-4,-6)
Using the distance formula, show that the given points are collinear:
(-1, -1), (2, 3) and (8, 11)
Find the distance between the following pair of point.
T(–3, 6), R(9, –10)
Determine whether the point is collinear.
R(0, 3), D(2, 1), S(3, –1)
Find the distance between the following point :
(p+q,p-q) and (p-q, p-q)
Find the distance of a point (13 , -9) from another point on the line y = 0 whose abscissa is 1.
Prove that the following set of point is collinear :
(5 , 1),(3 , 2),(1 , 3)
Find the coordinate of O , the centre of a circle passing through A (8 , 12) , B (11 , 3), and C (0 , 14). Also , find its radius.
Prove that the points (0 , 2) , (1 , 1) , (4 , 4) and (3 , 5) are the vertices of a rectangle.
ABC is an equilateral triangle . If the coordinates of A and B are (1 , 1) and (- 1 , -1) , find the coordinates of C.
Calculate the distance between A (7, 3) and B on the x-axis, whose abscissa is 11.
Use distance formula to show that the points A(-1, 2), B(2, 5) and C(-5, -2) are collinear.
Give the relation that must exist between x and y so that (x, y) is equidistant from (6, -1) and (2, 3).
The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure is ______.
A circle drawn with origin as the centre passes through `(13/2, 0)`. The point which does not lie in the interior of the circle is ______.
If (– 4, 3) and (4, 3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.
The distance of the point (5, 0) from the origin is ______.
