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.
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 A coincides with the origin and AB and AD are along OX and OY respectively.
The base PQ of two equilateral triangles PQR and PQR' with side 2a lies along y-axis such that the mid-point of PQ is at the origin. Find the coordinates of the vertices R and R' of the triangles.
Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4, -1). Also, find its circumradius.
In what ratio is the line segment joining the points (-2,-3) and (3, 7) divided by the y-axis? Also, find the coordinates of the point of division.
Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by y-axis. Also, find the coordinates of the point of division in each case.
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 points on the y-axis which is equidistant form the points A(6,5) and B(- 4,3)
Mark the correct alternative in each of the following:
The point of intersect of the coordinate axes is
The perpendicular distance of the P (4,3) from y-axis is
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 value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\] .
If the mid-point of the segment joining A (x, y + 1) and B (x + 1, y + 2) is C \[\left( \frac{3}{2}, \frac{5}{2} \right)\] , find x, y.
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.
Find the area of triangle with vertices ( a, b+c) , (b, c+a) and (c, a+b).
The coordinates of a point on x-axis which lies on the perpendicular bisector of the line segment joining the points (7, 6) and (−3, 4) are
What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?
In the above figure, seg PA, seg QB and RC are perpendicular to seg AC. From the information given in the figure, prove that: `1/x + 1/y = 1/z`
Signs of the abscissa and ordinate of a point in the second quadrant are respectively.
The points whose abscissa and ordinate have different signs will lie in ______.
