Question

Persediaan below.pets A- 2JB4))) wederal ACD Premium of AD Db Cr4 13-) Calculate the value ofrir AD || BC 1.1.2 What type of quadrilateral is ABCD? Determine the coordinates of P.) 1.1.3 (2) Prove that HP IAD. 12) 1.1.5 Determine the equation of the circle passing through PBA in the form (x-a) i Cu-b8² = r² (5 1.1.6 Calculate the maximum radius of the circle having equation +y? - 2xcos8 - 4y cos8 --2 for any value of e. (5

Answer 1

11 A011 BC slope of BC slope of AD : -3-1 -2-2 -4-8 3-4 - 4-8 124 -4 - 1 477= 1 72-3 12 In A B CD, 13 ADIICD. ABCD is trapezium P-mid point of AD Play) - ANO (-272,3) P =(0, -1) Slope of BP = -4-(-1) 1.4. - 1 3-0 Slope of AD = -3-1 =1 -2-1 LX- 1-1 Hence BPI AD 1.5. Circle through BPA (1-a7% + (4-6)%= i P (0,-1) + a²+(-1-6)%= r² @o B(3,-4)= (3-2)+(-4-6)=8 = A (-2,-) (-2-) + (-3-6)=x2-3 a=3/2 3 0 G 3 = a + b =-3 ©¢3) » 2) a-b=6 158 b=-9/2 q=158 4 (– 310) +(4+2) = 58 4

71++y? 22.0058 -44c058 = -2 9- 24c050 + cos'o + y =uy cos 8 + 4 cos o - Ecoso = -2 (91-coso) (Y-22050) = 5 costo-2 r = 5 costo-2 r= (5 cost 0-2 de 5.2 coso.- Sino 5 Sin 20=0 2r5 costo-2 + for max r » 20- niin12,3,--- do