Advertisements
Advertisements
Question
The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is
Options
2 : 3
3 : 4
4 : 7
4 : 3
Solution
4 : 7
Explanation;
Hint:
A line divides internally in the ratio m : n the point P
P = `(("m" + 6"n")/("m" + "n"), (-7"m" + 4"n")/("m" + "n"))`
(a, 0) = `(("m" + 6"n")/("m" + "n"), (-7"m" + 4"n")/("m" + "n"))`
0 = `(-7"m" + 4"n")/("m" + "n")`
−7m + 4n = 0
4n = 7m
`"m"/"n" = 4/7`
The ratio is 4 : 7
APPEARS IN
RELATED QUESTIONS
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
Write the co-ordinates of the point of intersection of graphs of
equations x = 2 and y = -3.
Find th co-ordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20).
If the midpoints of the sides ofa triangle are (-2, 3), (4, -3), (4, 5), find its vertices.
Find the centroid of a triangle whose vertices are (3, -5), (-7, 4) and ( 10, -2).
The centre of a circle is (a+2, a-1). Find the value of a, given that the circle passes through the points (2, -2) and (8, -2).
P , Q and R are collinear points such that PQ = QR . IF the coordinates of P , Q and R are (-5 , x) , (y , 7) , (1 , -3) respectively, find the values of x and y.
The centre ‘O’ of a circle has the coordinates (4, 5) and one point on the circumference is (8, 10). Find the coordinates of the other end of the diameter of the circle through this point.
If `"P"("a"/3, "b"/2)` is the mid-point of the line segment joining A(−4, 3) and B(−2, 4) then (a, b) is
Find the coordinates of the mid-point of the line segment with points A(– 2, 4) and B(–6, –6) on both ends.
