Focus worksheet

             In this page focus worksheet we are going to see problems in quiz form to find the focus, vertices, equation of directrix and length of latus rectum.

Question 1:

             Find the focus, vertex, equation of directrix and length of the latus rectum of the parabola y² = 12x.



(A)Focus =(2,0),vertex= (0,0), Equation of directrix x =-2 and length of latus rectum = 8
(B) Focus =(4,0),vertex= (0,0), Equation of directrix x =-8 and length of latus rectum = 16
(C) Focus =(3,0),vertex= (0,0), Equation of directrix x =-3 and length of latus rectum = 12




Question 2:

             Find the focus, vertex, equation of directrix and length of the latus rectum of the parabola y² -8x-2y+17=0.



(A)Focus =(4,1),vertex= (2,1), Equation of directrix x =0 and length of latus rectum = 8
(B) Focus =(4,0),vertex= (0,0), Equation of directrix x =-8 and length of latus rectum = 16
(C) Focus =(3,0),vertex= (0,0), Equation of directrix x =-3 and length of latus rectum = 12




Question 3:

             Find the focus, vertex, equation of directrix and length of the latus rectum of the parabola y² = -8x



(A)Focus =(4,1),vertex= (2,1), Equation of directrix x =0 and length of latus rectum = 16
(B) Focus =(-2,0),vertex= (0,0), Equation of directrix x =2 and length of latus rectum = 8
(C) Focus =(3,0),vertex= (0,0), Equation of directrix x =-3 and length of latus rectum = 12




Question 4:

             Find the focus, vertex, equation of directrix and length of the latus rectum of the parabola y² +8x+2y+17=0.



(A)Focus =(-4,-1),vertex= (-2,-1), Equation of directrix x =0 and length of latus rectum = 8
(B) Focus =(-2,0),vertex= (0,0), Equation of directrix x =2 and length of latus rectum = 16
(C) Focus =(3,0),vertex= (0,0), Equation of directrix x =-3 and length of latus rectum = 12




Question 5:

             Find the focus, vertex, equation of directrix and length of the latus rectum of the parabola x² =5y.



(A)Focus =(-4,-1),vertex= (-2,-1), Equation of directrix x =0 and length of latus rectum = 8
(B) Focus =(-2,0),vertex= (0,0), Equation of directrix x =2 and length of latus rectum = 16
(C) Focus =(0,5/4),vertex= (0,0), Equation of directrix y =-5/4 and length of latus rectum = 5




Question 6:

             Find the focus, vertex, equation of directrix and length of the latus rectum of the parabola x² -8y-2x+17=0.



(A)Focus =(1,4),vertex= (1,2), Equation of directrix y =0 and length of latus rectum = 8
(B) Focus =(-2,0),vertex= (0,0), Equation of directrix x =2 and length of latus rectum = 16
(C) Focus =(0,5),vertex= (0,0), Equation of directrix y =-5/4 and length of latus rectum = 5




Question 7:

             Find the focus, vertex, equation of directrix and length of the latus rectum of the parabola x² =-16y.



(A)Focus =(-4,-1),vertex= (-2,-1), Equation of directrix x =0 and length of latus rectum = 8
(B) Focus =(0,-4),vertex= (0,0), Equation of directrix y =4 and length of latus rectum = 16
(C) Focus =(0,5/4),vertex= (0,0), Equation of directrix y =-5/4 and length of latus rectum = 5




Question 8:

             Find the focus, vertex, equation of directrix and length of the latus rectum of the parabola x² +4y-6x+17=0.



(A)Focus =(-4,-1),vertex= (-2,-1), Equation of directrix x =0 and length of latus rectum = 8
(B) Focus =(0,-4),vertex= (0,0), Equation of directrix y =4 and length of latus rectum = 16
(C) Focus =(3,-3),vertex= (3,-2), Equation of directrix y =-3 and length of latus rectum = 4




                  In this page focus worksheet we had given problems to find the focus, vertex, equation of directrix and length of the latus rectum of all 4 types parabolas in both standard and vertex form. Parents and teachers can direct the students to do the problems using the method discussed in the example. Students can try the practice problem on their own and get the good knowledge of the focus of the parabola. If you have any doubt you can contact us through mail, we will help you to clear your doubts.                                        





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