Advertisements
Advertisements
प्रश्न
Find the distance between the points
A(-6,-4) and B(9,-12)
Advertisements
उत्तर
A(-6,-4) and B(9,-12)
The given points are A(-6,-4) and B(9,-12)
` Then (x_1 =-6,y_1 = -4) and (x_2 = 9, y_2 =-12)`
`AB = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)`
`= sqrt((9-(-6))^2 +{-12-(-4)}^2)`
`=sqrt((9+6)^2 +(-12 +4)^2)`
`= sqrt((15)^2+(-8)^2)`
`= sqrt(225+64)`
`= sqrt(289)`
=17 units
APPEARS IN
संबंधित प्रश्न
If A(4, 3), B(-1, y) and C(3, 4) are the vertices of a right triangle ABC, right-angled at A, then find the value of y.
Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(- 1, - 2), (1, 0), (- 1, 2), (- 3, 0)
Prove that the points A(1, 7), B (4, 2), C(−1, −1) D (−4, 4) are the vertices of a square.
Using the distance formula, show that the given points are collinear:
(6, 9), (0, 1) and (-6, -7)
If P (x , y ) is equidistant from the points A (7,1) and B (3,5) find the relation between x and y
The long and short hands of a clock are 6 cm and 4 cm long respectively. Find the sum of the distances travelled by their tips in 24 hours. (Use π = 3.14) ?
Find the distance between the following pair of point.
P(–5, 7), Q(–1, 3)
AB and AC are the two chords of a circle whose radius is r. If p and q are
the distance of chord AB and CD, from the centre respectively and if
AB = 2AC then proove that 4q2 = p2 + 3r2.
Distance of point (−3, 4) from the origin is ______.
Find the distance between the following pairs of point in the coordinate plane :
(13 , 7) and (4 , -5)
Prove that the following set of point is collinear :
(5 , 5),(3 , 4),(-7 , -1)
Prove that the points (6 , -1) , (5 , 8) and (1 , 3) are the vertices of an isosceles triangle.
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.
Show that the points A (5, 6), B (1, 5), C (2, 1) and D (6, 2) are the vertices of a square ABCD.
Find the distance of the following points from origin.
(a+b, a-b)
Give the relation that must exist between x and y so that (x, y) is equidistant from (6, -1) and (2, 3).
A circle drawn with origin as the centre passes through `(13/2, 0)`. The point which does not lie in the interior of the circle is ______.
The distance of the point P(–6, 8) from the origin is ______.
|
Case Study Trigonometry in the form of triangulation forms the basis of navigation, whether it is by land, sea or air. GPS a radio navigation system helps to locate our position on earth with the help of satellites. |
- Make a labelled figure on the basis of the given information and calculate the distance of the boat from the foot of the observation tower.
- After 10 minutes, the guard observed that the boat was approaching the tower and its distance from tower is reduced by 240(`sqrt(3)` - 1) m. He immediately raised the alarm. What was the new angle of depression of the boat from the top of the observation tower?
The distance of the point (5, 0) from the origin is ______.
