(18) Find the ratio in which the join of the points A(12,-5) and B(3, 4) is...

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(18) Find the ratio in which the join of the points A(12,-5) and B(3, 4) is cut by the line r. (3i - 11j) = 0. Show that the line joining the origin to the point dividing AB externally in the same ratio is perpendicular to the line r (3i-11j) = 0. (19) Find the equations of the sides of the square which has the point (-1,1) as one vertex and the line r. (3i+j) - 3 = 0 for one diagonal. (20) The points A(3,-1), B(-2,4), C(-1,7) are three vertices of the quadrilateral ABCD. Given that the triangle ADC is the reflection in the line AC of triangle ABC, find the position vector of D. (21) Find the reflection of the point (2.1) in the line with equation r. (5-j) + 3 = 0. Hence find the reflection in L of the line r-(i-1)-1=0. (22) Find the mirror images of the point B(3, 4) and the line r = 3i+4j+t(13i+j) in the line r. (3i+7j) + 2 = 0. (18) Find the ratio in which the join of the points A(12,-5) and B(3, 4) is cut by the line r. (3i - 11j) = 0. Show that the line joining the origin to the point dividing AB externally in the same ratio is perpendicular to the line r (3i-11j) = 0. (19) Find the equations of the sides of the square which has the point (-1,1) as one vertex and the line r. (3i+j) - 3 = 0 for one diagonal. (20) The points A(3,-1), B(-2,4), C(-1,7) are three vertices of the quadrilateral ABCD. Given that the triangle ADC is the reflection in the line AC of triangle ABC, find the position vector of D. (21) Find the reflection of the point (2.1) in the line with equation r. (5-j) + 3 = 0. Hence find the reflection in L of the line r-(i-1)-1=0. (22) Find the mirror images of the point B(3, 4) and the line r = 3i+4j+t(13i+j) in the line r. (3i+7j) + 2 = 0.