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analytical geometry calculating the shortest distance between a point and a line 1 part 1

Introduction to Analytic Geometry

Introduction to Analytic Geometry

Lesson#1
Introduction to Analytical Geometry
Rene Descartes (1596-1650), French, (Father of Modern Philosophy)
Writing exponents as…

What is distance ? Distance formula

What is distance ? Distance formula

Lesson#6
What is distance ? Distance formula
What is Distance?
Length of shortest path between two points.
OR
Length…

Maths911 live show: Grade 12, Analytical Geometry

Maths911 live show: Grade 12, Analytical Geometry

Maths911 live show: Grade 12, Analytical Geometry

Classification of Quadrilateral (3)

Classification of Quadrilateral (3)

Lesson#21
Classification of Quadrilateral (3)
Isosceles Trapezium: A quadrilateral having equal diagonals is called an isosceles…

Classification of Quadrilateral (1)

Classification of Quadrilateral (1)

Lesson#19
Classification of Quadrilateral (1)
Quadrilateral or Tetragon or Quadrangle
A ploygon having four sides or four vertices…

Classification of Quadrilateral (2)

Classification of Quadrilateral (2)

Lesson#20
Classification of Quadrilateral (2)
TRAPEZIUM: A quadrilateral having at-least one pair of parallel sides. It is called…

Circles connected with a Triangle (1)

Circles connected with a Triangle (1)

Lesson#24
Circles connected with a Triangle (1)
CIRCLES CONNECTED WITH A TRIANGLE
Introduction to Analytical Geometry

Question No .17 , Question No .16

Question No .17 , Question No .16

Lesson#28
Question No .17
Q.17. The points (4,-2), (-2,4) and (5,5) are the vertices of a triangle. Find in-center of the triangle.

Prove that Bisectors of angles of a triangle are concurrent

Prove that Bisectors of angles of a triangle are concurrent

Lesson#27
Prove that Bisectors of angles of a triangle are concurrent.
THEOREM: Bisectors of angles of a triangle are concurrent.

Lesson#17 [ Classification of Triangle, Question No . 4 ]

Lesson#17 [ Classification of Triangle, Question No . 4 ]

Lesson#17
Classification of Triangle
Question No . 4
Triangle or Trilateral or Trigon
Classification by Sides: Scalene…

Question No.11

Question No.11

Lesson#23
Question No.11
Find h such that the quadrilateral with vertices A(-3,0), B(1,-2), C(5,0) and D(1,h) is parallelogram, Is it…

Theorem related to Centroid

Theorem related to Centroid

Lesson#26
Theorem related to Centroid
THEOREM: The centroid of a ^ABC is a point that divides each median in the ratio 2:1. Using this…

Circles connected with a Triangle (2)

Circles connected with a Triangle (2)

Lesson#25
Circles connected with a Triangle (2)
EX-CIRCLE or E-CIRCLE or ESCRIBED CIRCLE, E-CENTER
Some other definitions…

Question No.10, Question No 4(iii)

Question No.10, Question No 4(iii)

Lesson#22
Question No.10
Q.10. A quadrilateral has the points A(9,3), B(-7,7), C(-3,-7), and D(5,-5) as its vertices. Find the midpoints…

Lesson#18 [ Question No.6 , Question No.9, Question No.12 ]

Lesson#18 [ Question No.6 , Question No.9, Question No.12 ]

Lesson#18
Question No.6
Q.6. Find h such that the points A(3,-1), B(0,2) and C(h,-2) are vertlees of a right triangle with right angle at…

Question No. 5

Question No. 5

Lesson#12
Question No.5
Q.5. The midpoints of the sides of a triangle are (1,-1), (-4,-3) and (-1,1). Find coordinates of the vertices…

Question No. 3 ,Question No. 8

Question No. 3 ,Question No. 8

Lesson#11
Question No. 3
Question No. 8
Q.3. which of the following points are at a distance of 15 units from the origin?

How to check that points are collinear ?

How to check that points are collinear ?

Lesson#15
How to check that points are collinear ?
What are col-linear points?
points are said to be col-linear if they lie on a

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