Advertisements
Advertisements
प्रश्न
If (2, p) is the midpoint of the line segment joining the points A(6, -5) and B(-2,11) find the value of p.
उत्तर
The given points are A(6, -5) and B(-2,11).
Let ( x,y) be the midpoint of AB. Then,
` x = (x_1+x_2)/2 , y = (y_1 +y_2)/2`
` x = (6+(-2))/2 , y = (-5+11)/ 2`
` ⇒ x = (6-2)/2 , y = (-5+11)/2`
`⇒ x = 4/2 , y = 6/2 `
x = 2, y =3
So, the midpoint of ABis (2,3) .
But it is given that midpoint of AB is ( 2, p).
Therefore, the value of p=3.
APPEARS IN
संबंधित प्रश्न
Prove that the points (0, 0), (5, 5) and (-5, 5) are the vertices of a right isosceles triangle.
Find the points of trisection of the line segment joining the points:
5, −6 and (−7, 5),
If the points p (x , y) is point equidistant from the points A (5,1)and B ( -1,5) , Prove that 3x=2y
Find the co-ordinates of the point which divides the join of A(-5, 11) and B(4,-7) in the ratio 7 : 2
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)?
If the point `P (1/2,y)` lies on the line segment joining the points A(3, -5) and B(-7, 9) then find the ratio in which P divides AB. Also, find the value of y.
Show that `square` ABCD formed by the vertices A(-4,-7), B(-1,2), C(8,5) and D(5,-4) is a rhombus.
The measure of the angle between the coordinate axes is
If R (x, y) is a point on the line segment joining the points P (a, b) and Q (b, a), then prove that x + y = a + b.
If \[D\left( - \frac{1}{5}, \frac{5}{2} \right), E(7, 3) \text{ and } F\left( \frac{7}{2}, \frac{7}{2} \right)\] are the mid-points of sides of \[∆ ABC\] , find the area of \[∆ ABC\] .
What is the distance between the points A (c, 0) and B (0, −c)?
The ratio in which the x-axis divides the segment joining (3, 6) and (12, −3) is
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
f the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (−2, 5), then the coordinates of the other end of the diameter are
If the sum of X-coordinates of the vertices of a triangle is 12 and the sum of Y-coordinates is 9, then the coordinates of centroid are ______
What are the coordinates of origin?
If the coordinates of the two points are P(–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is ______.
The perpendicular distance of the point P(3, 4) from the y-axis is ______.
The distance of the point (3, 5) from x-axis (in units) is ______.
