Advertisements
Advertisements
प्रश्न
The line segment joining A( 2,9) and B(6,3) is a diameter of a circle with center C. Find the coordinates of C
Advertisements
उत्तर
The given points are A( 2,9) and B(6,3) .
Then , C (x,y) is the midpoint of AB .
`x = (x_1+x_2)/2 , y = (y_1 +y_2) /2`
`⇒ x = (-2+6)/2 , y = (9+3)/2`
`⇒ x = 4/2 , y = 12/2 `
`⇒ x = 2 , y=6`
Therefore, the coordinates of point C are (2,6 ).
APPEARS IN
संबंधित प्रश्न
Find a point on the x-axis which is equidistant from the points (7, 6) and (−3, 4).
In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (-5, -21/5)?
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.
If the points p (x , y) is point equidistant from the points A (5,1)and B ( -1,5) , Prove that 3x=2y
Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that `(PA)/( PQ)=2/5` . If that point A also lies on the line 3x + k( y + 1 ) = 0, find the value of k.
The line segment joining the points A(3,−4) and B(1,2) is trisected at the points P(p,−2) and Q `(5/3,q)`. Find the values of p and q.
Find the coordinates of the midpoints of the line segment joining
P(-11,-8) and Q(8,-2)
Find the coordinates of circumcentre and radius of circumcircle of ∆ABC if A(7, 1), B(3, 5) and C(2, 0) are given.
Find the possible pairs of coordinates of the fourth vertex D of the parallelogram, if three of its vertices are A(5, 6), B(1, –2) and C(3, –2).
Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.
Find the area of the quadrilateral ABCD, whose vertices are A(−3, −1), B (−2, −4), C(4, − 1) and D (3, 4).
The co-ordinates of point A and B are 4 and -8 respectively. Find d(A, B).
What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?
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 coordinates of the two points are P(–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is ______.
The coordinates of two points are P(4, 5) and Q(–1, 6). Find the difference between their abscissas.
Assertion (A): The ratio in which the line segment joining (2, -3) and (5, 6) internally divided by x-axis is 1:2.
Reason (R): as formula for the internal division is `((mx_2 + nx_1)/(m + n) , (my_2 + ny_1)/(m + n))`
Co-ordinates of origin are ______.
Assertion (A): The point (0, 4) lies on y-axis.
Reason (R): The x-coordinate of a point on y-axis is zero.
