Advertisements
Advertisements
प्रश्न
If P (2, 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(2, 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,
`(2 , 6) = ((6 + 4)/2,(5 + y)/2)`
Now equate the y component to get,
`(5 + y) /2 = 6`
So,
y = 7
APPEARS IN
संबंधित प्रश्न
Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively.
A (3, 2) and B (−2, 1) are two vertices of a triangle ABC whose centroid G has the coordinates `(5/3,-1/3)`Find the coordinates of the third vertex C of the triangle.
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(4, 5) B(7, 6), C (4, 3), D(1, 2)
Find the ratio in which the point (2, y) divides the line segment joining the points A (-2,2) and B (3, 7). Also, find the value of y.
The line segment joining the points P(3, 3) and Q(6, -6) is trisected at the points A and B such that Ais nearer to P. If A also lies on the line given by 2x + y + k = 0, find the value of k.
Determine the ratio in which the point P (m, 6) divides the join of A(−4, 3) and B(2, 8). Also, find the value of m.
Find the coordinates of the midpoints of the line segment joining
P(-11,-8) and Q(8,-2)
Find the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8) Also, find the value of m.
If the point P (m, 3) lies on the line segment joining the points \[A\left( - \frac{2}{5}, 6 \right)\] and B (2, 8), find the value of m.
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 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.
If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?
Find the value of a so that the point (3, a) lies on the line represented by 2x − 3y + 5 = 0
If the area of the triangle formed by the points (x, 2x), (−2, 6) and (3, 1) is 5 square units , then x =
If Points (1, 2) (−5, 6) and (a, −2) are collinear, then a =
If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then
The point R divides the line segment AB, where A(−4, 0) and B(0, 6) such that AR=34AB.">AR = `3/4`AB. Find the coordinates of R.
Find the coordinates of the point whose ordinate is – 4 and which lies on y-axis.
