Advertisements
Advertisements
प्रश्न
Find the distance between the following pair of points:
(a, 0) and (0, b)
Advertisements
उत्तर
The distance d between two points (x1, y1) and (x2, y2) is given by the formula.
`d = sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)`
The two given points are (a, 0) and (0, b)
The distance between these two points is
`d = sqrt((a - 0)^2 + (0 - b)^2)`
`= sqrt((a)^2 + (-b)^2)`
`d = sqrt(a^2 + b^2)`
Hence the distance is `sqrt(a^2 + b^2)`
APPEARS IN
संबंधित प्रश्न
The base PQ of two equilateral triangles PQR and PQR' with side 2a lies along y-axis such that the mid-point of PQ is at the origin. Find the coordinates of the vertices R and R' of the triangles.
Prove that the points (3, 0), (4, 5), (-1, 4) and (-2, -1), taken in order, form a rhombus.
Also, find its area.
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.
If the point ( x,y ) is equidistant form the points ( a+b,b-a ) and (a-b ,a+b ) , prove that bx = ay
The line segment joining the points A(3,−4) and B(1,2) is trisected at the points P(p,−2) and Q `(5/3,q)`. Find the values of p and q.
Find the coordinates of the midpoints of the line segment joining
A(3,0) and B(-5, 4)
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.
ABCD is rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). If P,Q,R and S be the midpoints of AB, BC, CD and DA respectively, Show that PQRS is a rhombus.
ABCD is a rectangle whose three vertices are A(4,0), C(4,3) and D(0,3). Find the length of one its diagonal.
Find the value of a, so that the point ( 3,a ) lies on the line represented by 2x - 3y =5 .
Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.
What is the area of the triangle formed by the points O (0, 0), A (6, 0) and B (0, 4)?
Find the area of triangle with vertices ( a, b+c) , (b, c+a) and (c, a+b).
Find the coordinates of the point which is equidistant from the three vertices A (\[2x, 0) O (0, 0) \text{ and } B(0, 2y) of ∆\] AOB .
If x is a positive integer such that the distance between points P (x, 2) and Q (3, −6) is 10 units, then x =
The distance of the point (4, 7) from the x-axis is
The coordinates of a point on x-axis which lies on the perpendicular bisector of the line segment joining the points (7, 6) and (−3, 4) are
The ratio in which the line segment joining P (x1, y1) and Q (x2, y2) is divided by x-axis is
The points whose abscissa and ordinate have different signs will lie in ______.
Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.
