Advertisements
Advertisements
प्रश्न
If P (x, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.
Advertisements
उत्तर
It is given that mid-point of line segment joining A (6, 5) and B (4, y) is P(x , 6)
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,
`(x , 6 ) = ((4+6)/2 , (y+5)/2)`
Now equate the y component to get,
`(y + 5)/2 = 6`
So,
y = 7
APPEARS IN
संबंधित प्रश्न
Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4, -1). Also, find its circumradius.
Find the point on x-axis which is equidistant from the points (−2, 5) and (2,−3).
In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (-5, -21/5)?
Determine the ratio in which the straight line x - y - 2 = 0 divides the line segment
joining (3, -1) and (8, 9).
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of point C are (0, −3). The origin is the midpoint of the base. Find the coordinates of the points A and B. Also, find the coordinates of another point D such that ABCD is a rhombus.
A point whose abscissa and ordinate are 2 and −5 respectively, lies in
Points (−4, 0) and (7, 0) lie
Show that the points (−4, −1), (−2, −4) (4, 0) and (2, 3) are the vertices points of a rectangle.
The points \[A \left( x_1 , y_1 \right) , B\left( x_2 , y_2 \right) , C\left( x_3 , y_3 \right)\] are the vertices of ΔABC .
(i) The median from A meets BC at D . Find the coordinates of the point D.
(ii) Find the coordinates of the point P on AD such that AP : PD = 2 : 1.
(iii) Find the points of coordinates Q and R on medians BE and CF respectively such thatBQ : QE = 2 : 1 and CR : RF = 2 : 1.
(iv) What are the coordinates of the centropid of the triangle ABC ?
Write the ratio in which the line segment joining points (2, 3) and (3, −2) is divided by X axis.
Write the coordinates the reflections of points (3, 5) in X and Y -axes.
Find the coordinates of the point which is equidistant from the three vertices A (\[2x, 0) O (0, 0) \text{ and } B(0, 2y) of ∆\] AOB .
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
A line intersects the y-axis and x-axis at P and Q , respectively. If (2,-5) is the mid-point of PQ, then the coordinates of P and Q are, respectively
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.
Find the coordinates of point A, where AB is a diameter of the circle with centre (–2, 2) and B is the point with coordinates (3, 4).
Which of the points P(0, 3), Q(1, 0), R(0, –1), S(–5, 0), T(1, 2) do not lie on the x-axis?
Point (3, 0) lies in the first quadrant.
Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.
