Ray
A ray can be extended in one direction only. Its other end is a fixed point..
A ray can be extended in one direction only. Its other end is a fixed point..Point
A point has position but no dimensions, no length, no breadth and no heigh..
Axiom
Axiom is a statement that is accepted as true. It does not require any proo..
Rectangular co - ordinates
The position of the point P in a plane in the rectangular co-ordinate system is determined as follows: Draw PA and PB perpendicular to XX' and YY'. The segment OA = a measures the distance along the x-axis (the x-coordinate and the perpendicular distance AP = OB = b ( parallel to y - a..
The position of the point P in a plane in the rectangular co-ordinate system is determined as follows: Draw PA and PB perpendicular to XX' and YY'. The segment OA = a measures the distance along the x-axis (the x-coordinate and the perpendicular distance AP = OB = b ( parallel to y - a..A plane
A plane has length and breadth. It has two dimensions. Any flat surface is a plane. In our study, we deal with figures drawn on plane surfac..
(b) Reflection of a line in a line
A line XY and a line AB. The reflection of AB in XY. (i) From A, construct AM ^ XY and produce it. (ii) Obtain point A' (the reflection of A in XY) on the other side of XY, so that AM = A'M. (iii) Similarly, from B, construct BN ^ XY and produce it. (iv) Obtain point B..
Construction - 16 ( b)
To construct a triangle when the difference of two sides, the remaining side and the angle between them are gi..
(b) Diagonals and the angle included by them are given
AC = 7 cm, BD = 6 cm and the angle included by them is 60 o . (i) AC = 7 cm and draw its perpendicular bisector to get mid-point O. (ii) At O make COX = 60 o and produce it both ways. (iii) With O as centre and radius 3 cm cut OX at D and B. (iv) Join AB, BC, CD and AD. Then ABC..
AC = 7 cm, BD = 6 cm and the angle included by them is 60 o . (i) AC = 7 cm and draw its perpendicular bisector to get mid-point O. (ii) At O make COX = 60 o and produce it both ways. (iii) With O as centre and radius 3 cm cut OX at D and B. (iv) Join AB, BC, CD and AD. Then ABC..Let the line pass through A(x1, y1) and B(x2, y2), the two given points.
Let P (x, y) be any point on the line joining A and B. Slope of AP = Slope of AB = Slope of PB The equation of the line is or..
Let P (x, y) be any point on the line joining A and B. Slope of AP = Slope of AB = Slope of PB The equation of the line is or..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: The intercept of a cu..
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: The intercept of a cu.. Result
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