DISTANCE AND SECTION FORMULA

THIS PRESENTATION ILLUSTRATES THE DISTANCE FORMULA, SECTION FORMULA AND AREA OF A TRIANGLE FORMULA.
THIS IS USEFUL TO GRADE 10 AND GRADE 11 MATH STUDENTS.
IT IS ALSO USEFUL FOR STUDENTS PREPARING FOR THE GRE AND SAT AND ACT.
RELEVANT FORMULAE ARE ALSO GIVEN.

1. GRADE 11 MATH GRADE 10 MATH SUMAN MATHEWS DISTANCE AND SECTION FORMULA

2. PREVIEW: THIS VIDEO ILLUSTRATES THE DISTANCE AND SECTION FORMULAE AND THE MIDPOINT FORMULA PROBLEMS . PROBLEMS ARE EXPLAINED IN DETAIL WITH THE RELEVANT FORMULA IN EACH CASE. SO WATCH THIS ENTIRE VIDEO WITH ME!

3. Distance between 2 points Midpoint of the line joining

4. Question 1 Find the point on the x axis equidistant from (3, 2) and (-5,-2) Let the point be ( x, 0) Point = (-1, 0)

5. Section formula If P divides the join of Internally in the ratio m: n If P divides the join of these 2 points externally in the ratio m: n

6. Question 2 In what ratio does divide the line segment joining the points A(3,5) and B(-7, 9) Let P divide the join of A and B internally in the ratio m:n A(3,5) B(-7, 9)

7. 9m + 5n = 6m + 6 n 3 m = n m : n = 1:3

8. Question 3 Find the ratio in which P(k, 6) divides the line segment joining the points A(- 4,3) and B(2,8) Find k A(-4;3) B(2;8) P(k,6) m n

9. 6 m + 6n = 8m + 3n 2m =3n m :n = 3: 2 internally

10. Question 4 Find the area of the triangle formed by (p + 1, 1), (2p +1, 3) and (2p+2,2p) Area = (p+1)(3- 2p) +(2p +1)(2p -1) +(2 p + 2)(1-3)

11. Question 5 Find the coordinates of a point which is at a distance of 2 units from ( 5,4) and 10 units from (11,-2)

12. From 1

13. (y -6) ( y-4) = 0 If y = 6, x = 5. (5,6) If y = 4, x = 3. (3,4)

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