Mathematics
Points A, B, C and D divide the join of O(0, 0) and P(0, 10) into five equal parts. The co-ordinates of point D are :
(10, 8)
(-8, 0)
(-10, 0)
(0, 8)
Section Formula
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Answer
From figure,
D divides the line segment OP in the ratio 4 : 1.
Let co-ordinates of D be (x, y).
By section-formula,
(x, y) =
Substituting values we get :
Hence, Option 4 is the correct option.
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Related Questions
Points A and B have co-ordinates (4, y) and (x, 8). The mid-point of AB = (0, 0); the values of x and y are :
x = -4, y = 8
x = 4, y = -8
x = -4, y = -8
x = 4, y = 8
Two vertices of a triangle are (-5, 3) and (4, -7). If centroid of the triangle is (-1, 2) then the third vertex is :
(-2, 7)
(-2, 10)
(-2, -10)
(0, -2)
Line segment joining points (4, 3) and (1, -2) is divided by the point (y, 0) in the ratio :
2 : 3
3 : 2
3 : 4
4 : 2
The point P divides the line segment joining the point (1, 2) and (-1, 2) internally in the ratio 1 : 2.
Assertion (A) : The co-ordinates of point P = (1, 6)
Reason (R) : If point P divides the line segment joining the points (x1, y1) and (x2, y2) in the ratio m1 : m2 then :
P =
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.