I f space t h e space l i n e space x plus 2 equals 0 space i s space t h e space d i r e c t r i x space o f space t h e space p a r a b o l a space y squared equals k x space t h e n space f i n d space t h e space v a l u e space o f space k ?

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Asked by Topperlearning User | 15th Nov, 2016, 11:01: PM

Expert Answer:

T h e space f o c u s space o f space t h e space p a r a b o l a space i s space
4 a equals k rightwards double arrow a equals k over 4
F o c u s equals left parenthesis k over 4 comma 0 right parenthesis
T h i s space p a r a b o l a space p a s s e s space t h r o u g h space t h e space o r i g i n space s o space f r o m space t h e space d e f i n i t i o n space o f space p a r a b o l a
t h e space d i s tan c e space o f space o r i g i n space f r o m space f o c u s space s h o u l d space b e space e q u a l space t o space i t s space d i s tan c e space f r o m space d i r e c t r i x
k over 4 equals open vertical bar fraction numerator 0 plus 2 over denominator square root of 1 end fraction close vertical bar rightwards double arrow k equals 8

Answered by  | 16th Nov, 2016, 01:01: AM