Class 10 ICSE Maths Section Formula Important Questions
A point on the line segment divides it into two parts which may equal or not. The ratio in which the point
divides the given line segment can be found if we know the coordinates of that point. Also, it is possible to
find the point of division if we know the ratio in which the line segment joining two points has given. These
two things can be achieved with the help of a section formula in coordinate geometry.
Section formula is used to determine the coordinate of a point that divides a line segment joining two
points into two parts such that the ratio of their length is m:n.
Q.1
Find the distance between the points P(-4, 7) and Q(2, -5).
Solution
Q2
Find the distance of the point P(6, -6)from the origin.
Solution
Q3
If the point. P(k-1,2) is equidistant from the points A(3, k) and B(k,5), find the values of k.
Solution
Q4
Find those points on the y-axis, each of which is at a distance of 13 units from the point A(-5,7).
Solution
Q5
Find the centre of a circle passing through the points (6, -6), (3, -7) and (3, 3).
Solution
Q6
Show that the points (a,a), (-a, -a) and (-√3a, √3a) are the vertices of an equilateral
triangle. Find its area.
Solution
Q7
Show that the points (1, 1), (-1, 5), (7, 9) and (9, 5) taken in that order arc the vertices of a
rectangle. Also, find the area of the rectangle.
Solution
Q8
Prove that the points A(1, 1), B(-2, 7) and C(3, -3) are collinear.
Solution
Q9
Find the coordinates of the points of trisection of the line segment joining the points A(-5, 6) and
B(4, -3).
Solution
Q10
Find the coordinates of a point P on the line segment joining A(1, 2) and B(6 ,7) such that AP =
2
/
5
AB.
Solution
Q11
Point P divides the line segment joining the points A(2,1) and B(5, -8) such that 
AP
/
AB
=
1
/
3
P lies on the line 2x - y + k = 0, find
Solution
Q12
Find the ratio in which the point P(11, y) divides the line segment coining the points A(15, 5) and
B(9, 20). Also, find the value of y.
Solution
Q13
let D(3, -2), E(-3, 1) and F(4, -3) be the midpoints of the sides BC, CA and AB respectively of
△ABC. Then, find the coordinates of the vertices A, B and C.
Solution
Q14
Two vertices of a △ABC are given by A(6, 4) and B(-2, 2), and its centroid is G(3, 4). Find
the coordinates of the third vertex C of △ABC.
Solution
Q15
The coordinates of one end point of a diameter AB of a circle are A(4, -1) and the coordinates of
the center of the circle are C(1, -3), Find the coordinates of B.
Solution
Reach Us
SERVICES
- ACADEMIC
- ON-LINE PREPARATION
- FOUNDATION & CRASH COURSES
CONTACT
B-54, Krishna Bhawan, Parag Narain Road,
Near Butler Palace Colony Lucknow
Contact:+918081967119
Add a comment