Advertisements
Advertisements
Question
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.
Advertisements
Solution
It is given that mid-point of line segment joining A (6,−5) and B (−2, 11) is P (2P)
In general to find the mid-point P ( x , y) of two points `A (x_1 , y_1) "and " B (x_2 , y_2)` we use section formula as,
`P ( x, y) = ((x_1 + x_2 )/2 , (y_1 + y_2)/2)`
So,
`(2, p) = ((6-2)/2 , (-5+11)/2)`
Now equate the y component to get,
p = 3
APPEARS IN
RELATED QUESTIONS
On which axis do the following points lie?
Q(0, -2)
Three consecutive vertices of a parallelogram are (-2,-1), (1, 0) and (4, 3). Find the fourth vertex.
If the point ( x,y ) is equidistant form the points ( a+b,b-a ) and (a-b ,a+b ) , prove that bx = ay
In what ratio does the point P(2,5) divide the join of A (8,2) and B(-6, 9)?
A point whose abscissa and ordinate are 2 and −5 respectively, lies in
Find the centroid of the triangle whose vertices is (−2, 3) (2, −1) (4, 0) .
Find the value of k, if the points A(7, −2), B (5, 1) and C (3, 2k) are collinear.
If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?
The line segment joining the points A(2, 1) and B (5, - 8) is trisected at the points P and Q such that P is nearer to A. If P also lies on the line given by 2x - y + k= 0 find the value of k.
Write the equations of the x-axis and y-axis.
Point (0, –7) lies ______.
The point at which the two coordinate axes meet is called the ______.
Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4) ______.
The point whose ordinate is 4 and which lies on y-axis is ______.
(–1, 7) is a point in the II quadrant.
Find the coordinates of the point which lies on x and y axes both.
If the vertices of a parallelogram PQRS taken in order are P(3, 4), Q(–2, 3) and R(–3, –2), then the coordinates of its fourth vertex S are ______.
The distance of the point (–6, 8) from x-axis is ______.
The distance of the point (3, 5) from x-axis (in units) is ______.
