Question

PLEASE ANSWER ALL PROBLEMS CORRECTLY.

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PROBLEM 1

Write a polar equation of a conic with the focus at the origin and the given data. parabola, directrix x = 7

PROBLEM 2

PROBLEM 3

PROBLEM 4

Answer 1

1 Egnation of COHC with Il focus is at directrix right sim x=k (lis condition origin to origin where Kyo J = ke Ite Cose Equation represent (@) Ellipsi when OLOL 1 (6 Parabola when =1 Hyperbola when 071 of COHC with condition Il focus is at origin is directrix let's to origin to DC = -K where kyo I Donation CO I-e cose - 3 Equation represest @ Ellipse when OLULI 60 Parabola when 0=1 Hyperbola when & 71

Equation i us of core with condition pocus at origin directry's above origin 1.0 4-K where K70 J = Ko It Otro & Elnation reprent (6 O Ellipse Parabola Hyperbola when OKOLI when o=1 When 1 Equation of Cone with condition i to cus at origin li directrix below origik 18 = -K where ko polar Ejuation the Ke Tesino Equation represent (a) Ellins what OLOLA (6) Parabola when a=1 & Hyperbola When 671 g

Probler 1 SIGN Griver, tocus out the origin till focus (0,0) Parabola - a=1 directors, x=7&k=770 from table (A 8 = te Itecoso Put 1 K=7 8= 7x1 1+ 1 caso It cose Aywer Problema: Giren, focus at till focus Hyperbola directrex from table the origin 10, og @=571 y=-4 (K=4>0) 2 = ke Put 1-esine = 5 and 485 1-5 fino = 4 r = 1o 9 = 20 T-5Sik Answer Problems i Griver Equation of conc yg = 3x10 It sino It Cluxsino

Colpore it withilaration of conic Prow suble C 8-ke testro We get k=3 and = 1 @ [0= 1 Answer (6) Giver Coric is I Parabola kiswer Egnation of directrix y =3 | Haswer Problem 4 Guiven, focus at origle focus (0,0) allipse - (0241) directrix X=-3 from table B g = ke I-acoso No Pit K=B, = % y = (39(45) 12% 1-4 Caso 5 u caso (K=370) 8 = 12 x 8 case y = 12 5-4 caso Answer