SECTION FORMULA WORKSHEET

Question 1 :

Using the section formula, show that the points

A(1, 0),B (5, 3), C (2, 7) and D(-2, 4)

are vertices of a parallelogram taken in order.

Solution

Question 2 :

The 4 vertices of a parallelogram are

A(-2, 3), B(3, -1), C(p, q) and D(-1, 9)

Find the value of  p and q.

Solution

Question 3 :

Find the coordinates of the point which divides the line segment joining

(3, 4) and (-6, 2)

in the ratio 3:2 externally.

Solution

Question 4 :

Find the coordinates of the point which divides the line segment joining (-3, 5) and (4, -9) in the ratio 1:6 internally.

Solution

Question 5 :

Let A (-6 , -5) and B(-6 , 4) be the two points such that a point  P on the line AB satisfies AP = (2/9) AB. Find the point P.

Solution

Question 6 :

Find the points of trisection of the line segment joining the points A (2, -2) and B (-7, 4).

Solution

Question 7 :

Find the ratio in which x axis divides the line segment joining the points (6, 4) and (1,- 7).

Solution

Question 8 :

Find the ratio in which x axis divides the line segment joining the points (6 , 4) and (1 ,- 7).

Question 9 :

Find the coordinates of the points of trisection of the line segment joining the points A(−5, 6) and B(4,−3).

Solution

Question 10 :

The line segment joining A(6,3) and B(−1, −4) is doubled in length by adding half of AB to each end. Find the coordinates of the new end points.

Solution

Question 11 :

Find the points which divide the line segment joining A(-4, 0) and B(0, 6) into four equal parts

Solution

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Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

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Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6