हिंदी

Find coordinates of midpoint of segment joining (– 2, 6) and (8, 2) - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Find coordinates of midpoint of segment joining (– 2, 6) and (8, 2)

योग

उत्तर

Let A(x1, y1) = A(– 2, 6), B(x2, y2) = B(8, 2), C(x, y) be the midpoint of seg AB.

∴ x1 = – 2, y1 = 6, x2 = 8, y2 = 2

By midpoint formula,

C(x, y) = `((x_1 + x_2)/2, (y_1 + y_2)/2)`

= `((-2 + 8)/2, (6 + 2)/2)`

= `(6/2, 8/2)`

= (3, 4)

∴ Coordinates of midpoint of segment joining (– 2, 6) and (8, 2) are (3, 4).

shaalaa.com
The Mid-point of a Line Segment (Mid-point Formula)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Co-ordinate Geometry - Q.1 (B)

संबंधित प्रश्न

ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find

1) Coordinates of A

2) An equation of diagonal BD


Points A and B have co-ordinates (3, 5) and (x, y) respectively. The mid-point of AB is (2, 3). Find the values of x and y.


Given M is the mid-point of AB, find the co-ordinates of B; if A = (3, –1) and M = (–1, 3).


P(4, 2) and Q(–1, 5) are the vertices of parallelogram PQRS and (–3, 2) are the co-ordinates of the point of intersection of its diagonals. Find co-ordinates of R and S.


Points P(a, −4), Q(−2, b) and R(0, 2) are collinear. If Q lies between P and R, such that PR = 2QR, calculate the values of a and b.


The mid-point of the line segment joining (2a, 4) and (–2, 2b) is (1, 2a + 1). Find the values of a and b.


Find the midpoint of the line segment joining the following pair of point :

(4,7) and (10,15) 


Find the length of the median through the vertex A of triangle ABC whose vertices are A (7, -3), B(S, 3) and C(3, -1).


The midpoints of three sides of a triangle are (1, 2), (2, -3) and (3, 4). Find the centroid of the triangle. 


ABC is a triangle whose vertices are A(-4, 2), B(O, 2) and C(-2, -4). D. E and Fare the midpoint of the sides BC, CA and AB respectively. Prove that the centroid of the  Δ ABC coincides with the centroid of the Δ DEF.


A , B and C are collinear points such that AB = `1/2` AC . If the coordinates of A, B and C are (-4 , -4) , (-2 , b) anf (a , 2),Find the values of a and b.


The midpoint of the line segment joining the points P (2 , m) and Q (n , 4) is R (3 , 5) . Find the values of m and n.


If P(–b, 9a – 2) divides the line segment joining the points A(–3, 3a + 1) and B(5, 8a) in the ratio 3: 1, find the values of a and b.


Find the mid-point of the line segment joining the points

(−2, 3) and (−6, −5)


Find the mid-point of the line segment joining the points

`(1/2, (-3)/7)` and `(3/2, (-11)/7)`


If the mid-point (x, y) of the line joining (3, 4) and (p, 7) lies on 2x + 2y + 1 = 0, then what will be the value of p?


The points A(−3, 6), B(0, 7) and C(1, 9) are the mid-points of the sides DE, EF and FD of a triangle DEF. Show that the quadrilateral ABCD is a parallelogram.


The ratio in which the x-axis divides the line segment joining the points A (a1, b1) and B (a2, b2) is


Point M (2, b) is the mid-point of the line segment joining points P (a, 7) and Q (6, 5). Find the values of ‘a’ and ‘b’.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×