Point of intersection of two lines
Point of intersection of two lines - Then (x 1 , y 1 ) lies on both (i) and (ii). Solving for x 1 and y 1 by the method of cross multiplication, we obta..
Point of intersection of two lines - Then (x 1 , y 1 ) lies on both (i) and (ii). Solving for x 1 and y 1 by the method of cross multiplication, we obta..Angle between two lines
Dividing throughout by x 2 , we get This being a quadratic in m has two roots m 1 and m 2 ..
Dividing throughout by x 2 , we get This being a quadratic in m has two roots m 1 and m 2 ..(a) Two angles and a side being given
To construct given and BC = 4 cm. (i) Draw a line BC = 4 cm. (ii) At B, construct an angle of 60 o . (iii) At C, construct an angle of 45 o on the same side of BC. (iv) Produce the arms of the angles to meet at A. (v) is the required triang..
To construct given and BC = 4 cm. (i) Draw a line BC = 4 cm. (ii) At B, construct an angle of 60 o . (iii) At C, construct an angle of 45 o on the same side of BC. (iv) Produce the arms of the angles to meet at A. (v) is the required triang..Point of Intersection of Two lines
Straight lines intersect at (X 1 ,Y 1..
Length of a Perpendicular Line between two lines
To find the length of the perpendicular from the point (x 1 ,y 1 ) on the line x cos a + y sin a = p - Let AB represent the given line xcos a + ysin a = p. Let N' (x1, y1) be the given point. Through N', draw B'N'A'|| BA, so that OM produced will meet B'A' at N. Then, MN = M'N'..
To find the length of the perpendicular from the point (x 1 ,y 1 ) on the line x cos a + y sin a = p - Let AB represent the given line xcos a + ysin a = p. Let N' (x1, y1) be the given point. Through N', draw B'N'A'|| BA, so that OM produced will meet B'A' at N. Then, MN = M'N'..
Locus of a point equidistant from two intersecting lines
Locus of a point equidistant from two intersecting lines - Draw two intersecting lines l and m intersecting at O. Draw OA the bisector of . Mark E on OA. Draw EB and EC perpendicular to OB and OC respectively. EB and EC are the distances of E from OB and OC respectively. Measure..
Locus of a point equidistant from two intersecting lines - Draw two intersecting lines l and m intersecting at O. Draw OA the bisector of . Mark E on OA. Draw EB and EC perpendicular to OB and OC respectively. EB and EC are the distances of E from OB and OC respectively. Measure..Equation of the line passing through the intersection of two lines
Equation of the line passing through the intersection of two lines - Let the lines be Let P (h,k) be the point of intersection of L 1 = 0 and L 2 = 0. Now consider the following equations, (v) (vi) This equation is a first degree in x and y and hence this represents a straight l..
Equation of the line passing through the intersection of two lines - Let the lines be Let P (h,k) be the point of intersection of L 1 = 0 and L 2 = 0. Now consider the following equations, (v) (vi) This equation is a first degree in x and y and hence this represents a straight l..(c) Two sides and the included angle being given
To construct a AB = 4.5 cm, BC = 3.7 cm and (i) Draw BC = 3.7 cm. (ii) At B construct an angle of 60 o . (iii) With B as centre, cut the second arm of the angle with an arc of radius 4.5 cm at A, so that BA = 4.5 cm. (iv) Join AC. (v) \ ABC is the required triang..
To construct a AB = 4.5 cm, BC = 3.7 cm and (i) Draw BC = 3.7 cm. (ii) At B construct an angle of 60 o . (iii) With B as centre, cut the second arm of the angle with an arc of radius 4.5 cm at A, so that BA = 4.5 cm. (iv) Join AC. (v) \ ABC is the required triang..Equation of the line passing through the intersection of two lines
The equation of a line contains two arbitrary constants. This means two geometrical conditions must be given to obtain the equation of a line. If a line passes through the intersection of two lines (given) only one geometrica..
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