Advertisements
Advertisements
Question
Calculate the distance between A (7, 3) and B on the x-axis whose abscissa is 11.
Solution
We know that any point on x-axis has coordinates of the form (x, 0).
Abscissa of point B = 11
Since, B lies of x-axis, so its co-ordinates are (11, 0).
AB = `sqrt((11 -7)^2 + (0 -3)^2)`
= `sqrt(16 + 9)`
= `sqrt(25)`
= 5 units
APPEARS IN
RELATED QUESTIONS
Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.
Name the type of quadrilateral formed, if any, by the following point, and give reasons for your answer:
(4, 5), (7, 6), (4, 3), (1, 2)
Find all possible values of x for which the distance between the points
A(x,-1) and B(5,3) is 5 units.
Using the distance formula, show that the given points are collinear:
(-2, 5), (0,1) and (2, -3)
Find the distances between the following point.
P(–6, –3), Q(–1, 9)
Prove that the following set of point is collinear :
(5 , 5),(3 , 4),(-7 , -1)
Prove that the points (0,3) , (4,3) and `(2, 3+2sqrt 3)` are the vertices of an equilateral triangle.
Find the co-ordinates of points on the x-axis which are at a distance of 17 units from the point (11, -8).
Prove that the points A (1, -3), B (-3, 0) and C (4, 1) are the vertices of an isosceles right-angled triangle. Find the area of the triangle.
Point P (2, -7) is the center of a circle with radius 13 unit, PT is perpendicular to chord AB and T = (-2, -4); calculate the length of: AT
Find the distance of the following points from origin.
(a+b, a-b)
Use distance formula to show that the points A(-1, 2), B(2, 5) and C(-5, -2) are collinear.
By using the distance formula prove that each of the following sets of points are the vertices of a right angled triangle.
(i) (6, 2), (3, -1) and (- 2, 4)
(ii) (-2, 2), (8, -2) and (-4, -3).
If the distance between point L(x, 7) and point M(1, 15) is 10, then find the value of x
Show that the points (2, 0), (– 2, 0) and (0, 2) are vertices of a triangle. State the type of triangle with reason
Show that A(1, 2), (1, 6), C(1 + 2 `sqrt(3)`, 4) are vertices of a equilateral triangle
The point which divides the lines segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the ______.
The point A(2, 7) lies on the perpendicular bisector of line segment joining the points P(6, 5) and Q(0, – 4).
If (a, b) is the mid-point of the line segment joining the points A(10, –6) and B(k, 4) and a – 2b = 18, find the value of k and the distance AB.
The distance of the point (5, 0) from the origin is ______.