Revision worksheet: Analytical geometry Al4; 5) C-3) A(4; 5), B(a;b) and C(8; -3) are the vertices of AABC. P(2; -1) is the midpoint of BC. 1. Calculate the valnes of a and b, the coordinates of B. 2....

Extracted text: Revision worksheet: Analytical geometry Al4; 5) C-3) A(4; 5), B(a;b) and C(8; -3) are the vertices of AABC. P(2; -1) is the midpoint of BC. 1. Calculate the valnes of a and b, the coordinates of B. 2. Prove that AB LAC. 3.Determine the equation of AP. 4. IfB is the point (-4; 1), prove analyticąlly that AB = AC. 5 Determine the area of AABC. 6. Calculate the magnitude of cach of the following correct to one decimal place. All geometric reasons mmst be given. a) T, the inclination of AC b) S, the inclination of BC Af1; 7), B(3; t), C(5; –9) and D(-3; 3) are the vertices of trapezium ABCD, with AB | DC. P is the midpoint of DC. 2 Calculate the valae of r if AB || DC. 8. Determine the coordinates of P, the midpoint of DC. 9. Determine the equation of the straight line DC. 10. Determine the coordinafes of S, the x-intercept ofDC. 11. Find the length of AD, giving your answer in simplest surd form. 12. Calculate the magnitade of cach of the following correct to ane decimal place. All working must be shown. ) , the inclination angle of SA, if S is the point (-1; 0) b) A