Advertisements
Advertisements
प्रश्न
Find the distance between the following pairs of points:
`(3/5,2) and (-(1)/(5),1(2)/(5))`
उत्तर
`(3/5,2) and (-(1)/(5),1(2)/(5))`
Distance between the given points
= `sqrt((-1/5 - 3/5)^2+(1 2/5 - 2)^2)`
= `sqrt((-4/5)^2+((7 - 10)/(5))^2)`
= `sqrt((16)/(25)+(9)/(25))`
= `sqrt((25)/(25)`
= 1
APPEARS IN
संबंधित प्रश्न
If the point (x, y) is equidistant from the points (a + b, b – a) and (a – b, a + b), prove that bx = ay
Show that four points (0, – 1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rectangle. Also, find its area
Prove that the points (–3, 0), (1, –3) and (4, 1) are the vertices of an isosceles right angled triangle. Find the area of this triangle
If P (2, – 1), Q(3, 4), R(–2, 3) and S(–3, –2) be four points in a plane, show that PQRS is a rhombus but not a square. Find the area of the rhombus
Find the coordinates of the centre of the circle passing through the points (0, 0), (–2, 1) and (–3, 2). Also, find its radius.
Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.
Show that the quadrilateral whose vertices are (2, −1), (3, 4) (−2, 3) and (−3,−2) is a rhombus.
Find the distance between the points
(i) A(9,3) and B(15,11)
Find the distance of the following points from the origin:
(ii) B(-5,5)
`" Find the distance between the points" A ((-8)/5,2) and B (2/5,2)`
Determine whether the point is collinear.
P(–2, 3), Q(1, 2), R(4, 1)
Find the distance between the following pairs of point in the coordinate plane :
(13 , 7) and (4 , -5)
Find the relation between a and b if the point P(a ,b) is equidistant from A (6,-1) and B (5 , 8).
Prove taht the points (-2 , 1) , (-1 , 4) and (0 , 3) are the vertices of a right - angled triangle.
Find the distance between the origin and the point:
(-5, -12)
The distance between the points (3, 1) and (0, x) is 5. Find x.
Show that the points A (5, 6), B (1, 5), C (2, 1) and D (6, 2) are the vertices of a square ABCD.
The distance between points P(–1, 1) and Q(5, –7) is ______
If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is ______.
The distance of the point P(–6, 8) from the origin is ______.
