Advertisements
Advertisements
प्रश्न
Find the distance between the following pairs of points:
`(3/5,2) and (-(1)/(5),1(2)/(5))`
Advertisements
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
Find the distance between two points
(i) P(–6, 7) and Q(–1, –5)
(ii) R(a + b, a – b) and S(a – b, –a – b)
(iii) `A(at_1^2,2at_1)" and " B(at_2^2,2at_2)`
Find the distance between the following pair of points:
(asinα, −bcosα) and (−acos α, bsin α)
An equilateral triangle has two vertices at the points (3, 4) and (−2, 3), find the coordinates of the third vertex.
Find the distances between the following point.
R(–3a, a), S(a, –2a)
Prove taht the points (-2 , 1) , (-1 , 4) and (0 , 3) are the vertices of a right - angled triangle.
Prove that the points (0 , 2) , (1 , 1) , (4 , 4) and (3 , 5) are the vertices of a rectangle.
The distances of point P (x, y) from the points A (1, - 3) and B (- 2, 2) are in the ratio 2: 3.
Show that: 5x2 + 5y2 - 34x + 70y + 58 = 0.
If the distance between point L(x, 7) and point M(1, 15) is 10, then find the value of x.
The distance of the point (α, β) from the origin is ______.
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.
