Fundamental problems of Analytical Geometry
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: T..
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: T..Geometry constructions - Lines, Angles, Triangles
Introduction - Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..
Equation of the Bisectors
To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0 - To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0. Let the lines AB and CD intersect at S. Let P(x,y) be a point on the angle bisector of any o..
To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0 - To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0. Let the lines AB and CD intersect at S. Let P(x,y) be a point on the angle bisector of any o..Locus and its equation
Locus and its equation - There are different ways of defining locus. i) When a point moves so as to always satisfy a given condition, or conditions, the path it traces out is called its locus under these conditions. ii) If a point moves according to some given geometrical conditions, then..
Locus and its equation
There are different ways of defining locus. i) When a point moves so as to always satisfy a given condition, or conditions, the path it traces out is called its locus under these conditions. ii) If a point moves according to some given geometrical conditions, then the path traced out by the moving ..
Locus and its Equations
When a point moves so as to always satisfy a given condition, or conditions, the path it traces out is called its locus under these condition..
Equation of a line in Normal form
Equation of a line in Normal form - Let AB be any straight line. OP = p is a perpendicular drawn to AB from the origin. Let the co-ordinates of P be (x,y). From right-angled triangle OAP, Again from right-angled triangle OA..
Equation of a line in Normal form - Let AB be any straight line. OP = p is a perpendicular drawn to AB from the origin. Let the co-ordinates of P be (x,y). From right-angled triangle OAP, Again from right-angled triangle OA..Equation of a line in Normal form
AB makes intercepts psec a on the x-axis and pcosec a on the y-axis. The equation of the line in the intercept form is given ..
AB makes intercepts psec a on the x-axis and pcosec a on the y-axis. The equation of the line in the intercept form is given ..Equations Of StraightLines
A straight line is represented by an equation of the first degree in two variables (x and y). Conversely locus of an equation of the first degree in two variables is a straight lin..
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