Advertisements
Advertisements
प्रश्न
What is the distance between the points A (c, 0) and B (0, −c)?
Advertisements
उत्तर
We have to find the distance betweenA( c , 0) and B (0 , - c) .
In general, the distance between A`(x_1 , y_1) " and B " (x_2 , y_2)` is given by,
`AB = sqrt((x_2 , x_1)^2 + ( y_2 - y_1)^2)`
So,
`AB = sqrt((c - 0)^2 + (0 - c)^2)`
` = c sqrt(2)`
APPEARS IN
संबंधित प्रश्न
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.
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.
In what ratio is the line segment joining the points A(-2, -3) and B(3,7) divided by the yaxis? Also, find the coordinates of the point of division.
In what ratio does the line x - y - 2 = 0 divide the line segment joining the points A (3, 1) and B (8, 9)?
Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are A(2,1) B(4,3) and C(2,5)
If the points A (2,3), B (4,k ) and C (6,-3) are collinear, find the value of k.
The co-ordinates of point A and B are 4 and -8 respectively. Find d(A, B).
Show that the points (−4, −1), (−2, −4) (4, 0) and (2, 3) are the vertices points of a rectangle.
If P ( 9a -2 , - b) divides the line segment joining A (3a + 1 , - 3 ) and B (8a, 5) in the ratio 3 : 1 , find the values of a and b .
Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division.
What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?
What is the area of the triangle formed by the points O (0, 0), A (6, 0) and B (0, 4)?
If P (x, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.
If P (2, p) is the mid-point of the line segment joining the points A (6, −5) and B (−2, 11). find the value of p.
If A (1, 2) B (4, 3) and C (6, 6) are the three vertices of a parallelogram ABCD, find the coordinates of fourth vertex D.
If the area of the triangle formed by the points (x, 2x), (−2, 6) and (3, 1) is 5 square units , then x =
The length of a line segment joining A (2, −3) and B is 10 units. If the abscissa of B is 10 units, then its ordinates can be
What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?
Points (1, –1) and (–1, 1) lie in the same quadrant.
The distance of the point (–1, 7) from x-axis is ______.
