Advertisements
Advertisements
प्रश्न
If the distance between points (x, 0) and (0, 3) is 5, what are the values of x?
Advertisements
उत्तर
We have to find the unknown x using the distance between A( x , 0) and B ( 0 , 3 ) which is 5.In general, the distance between A`(x_1 , x_2 )` and B `(x_2 , y_2) ` is given by,
`AB = sqrt( ( x_2 - x_1 )^2 + (y_2 - y_1)^2)`
So,
`5 = sqrt ( ( x - 0)^2 + ( 0 -3 )^2 ) `
Squaring both the sides we get,
`x^2 - 16 = 0`
So,
`x = +- 4`
APPEARS IN
संबंधित प्रश्न
Find the distance between the following pair of points:
(a, 0) and (0, b)
Prove that the points (−2, 5), (0, 1) and (2, −3) are collinear.
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(4, 5) B(7, 6), C (4, 3), D(1, 2)
Prove that the points (3, 0), (4, 5), (-1, 4) and (-2, -1), taken in order, form a rhombus.
Also, find its area.
Find the points of trisection of the line segment joining the points:
5, −6 and (−7, 5),
Determine the ratio in which the point (-6, a) divides the join of A (-3, 1) and B (-8, 9). Also, find the value of a.
Find the points on the y-axis which is equidistant form the points A(6,5) and B(- 4,3)
Show that the following points are the vertices of a square:
(i) A (3,2), B(0,5), C(-3,2) and D(0,-1)
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of point C are (0, −3). The origin is the midpoint of the base. Find the coordinates of the points A and B. Also, find the coordinates of another point D such that ABCD is a rhombus.
The midpoint P of the line segment joining points A(-10, 4) and B(-2, 0) lies on the line segment joining the points C(-9, -4) and D(-4, y). Find the ratio in which P divides CD. Also, find the value of y.
Find the coordinates of circumcentre and radius of circumcircle of ∆ABC if A(7, 1), B(3, 5) and C(2, 0) are given.
If `P(a/2,4)`is the mid-point of the line-segment joining the points A (−6, 5) and B(−2, 3), then the value of a is
The abscissa and ordinate of the origin are
The perpendicular distance of the P (4,3) from y-axis is
Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division.
What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?
The coordinates of the point P dividing the line segment joining the points A (1, 3) and B(4, 6) in the ratio 2 : 1 are
In which quadrant does the point (-4, -3) lie?
If the sum of X-coordinates of the vertices of a triangle is 12 and the sum of Y-coordinates is 9, then the coordinates of centroid are ______
The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio ______.
