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
If the point P (2,2) is equidistant from the points A ( -2,K ) and B( -2K , -3) , find k. Also, find the length of AP.
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 is the line segment joining the points A(-2, -3) and B(3,7) divided by the yaxis? Also, find the coordinates of the point of division.
ABCD is rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). If P,Q,R and S be the midpoints of AB, BC, CD and DA respectively, Show that PQRS is a rhombus.
Find the area of quadrilateral PQRS whose vertices are P(-5, -3), Q(-4,-6),R(2, -3) and S(1,2).
The perpendicular distance of the P (4,3) from y-axis is
Prove hat the points A (2, 3) B(−2,2) C(−1,−2), and D(3, −1) are the vertices of a square ABCD.
If the points A(−2, 1), B(a, b) and C(4, −1) ae collinear and a − b = 1, find the values of aand b.
Find the values of x for which the distance between the point P(2, −3), and Q (x, 5) is 10.
If A (2, 2), B (−4, −4) and C (5, −8) are the vertices of a triangle, than the length of the median through vertex C is
If points (a, 0), (0, b) and (1, 1) are collinear, then \[\frac{1}{a} + \frac{1}{b} =\]
If the centroid of a triangle is (1, 4) and two of its vertices are (4, −3) and (−9, 7), then the area of the triangle is
The length of a line segment joining A (2, −3) and B is 10 units. If the abscissa of B is 10 units, then its ordinates can be
The ratio in which the line segment joining P (x1, y1) and Q (x2, y2) is divided by x-axis is
The point on the x-axis which is equidistant from points (−1, 0) and (5, 0) is
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
Which of the points P(-1, 1), Q(3, - 4), R(1, -1), S (-2, -3), T(-4, 4) lie in the fourth quadrant?
If point P is midpoint of segment joining point A(– 4, 2) and point B(6, 2), then the coordinates of P are ______
The points (–5, 2) and (2, –5) lie in the ______.
Co-ordinates of origin are ______.
