Advertisements
Advertisements
Question
Find the coordinates of the midpoints of the line segment joining
P(-11,-8) and Q(8,-2)
Advertisements
Solution
The given points are P(-11,-8) and Q(8,-2).
`x= (x_1 +x_2)/2 , y = (y_1+y_2)/2`
`⇒ x = (-11+8)/2 , y = (-8-2)/2`
`⇒ x = -3/2 , y= -10/2`
` ⇒ x = - 3/2 , y = -5`
Therefore, `(-3/2,-5)` are the coordinates of midpoint of PQ .
APPEARS IN
RELATED QUESTIONS
Which point on the x-axis is equidistant from (5, 9) and (−4, 6)?
Find the value of x such that PQ = QR where the coordinates of P, Q and R are (6, -1), (1, 3) and (x, 8) respectively.
If the point A (4,3) and B ( x,5) lies on a circle with the centre o (2,3) . Find the value of x.
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.
In what ratio is the line segment joining A(2, -3) and B(5, 6) divide by the x-axis? Also, find the coordinates of the pint of division.
The co-ordinates of point A and B are 4 and -8 respectively. Find d(A, B).
Find the area of a parallelogram ABCD if three of its vertices are A(2, 4), B(2 + \[\sqrt{3}\] , 5) and C(2, 6).
Find the value(s) of k for which the points (3k − 1, k − 2), (k, k − 7) and (k − 1, −k − 2) are collinear.
Write the coordinates the reflections of points (3, 5) in X and Y -axes.
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 x is a positive integer such that the distance between points P (x, 2) and Q (3, −6) is 10 units, then x =
If the points (k, 2k), (3k, 3k) and (3, 1) are collinear, then k
If A (5, 3), B (11, −5) and P (12, y) are the vertices of a right triangle right angled at P, then y=
If points (t, 2t), (−2, 6) and (3, 1) are collinear, then t =
If points A (5, p) B (1, 5), C (2, 1) and D (6, 2) form a square ABCD, then p =
The coordinates of the point P dividing the line segment joining the points A (1, 3) and B(4, 6) in the ratio 2 : 1 are
If y-coordinate of a point is zero, then this point always lies ______.
If the coordinate of point A on the number line is –1 and that of point B is 6, then find d(A, B).
In which ratio the y-axis divides the line segment joining the points (5, – 6) and (–1, – 4)?
Co-ordinates of origin are ______.
