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  • If is the focal chord of the parabola  <img alt="\mathrm {y^2=8 x}" src="https:/

If \mathrm {A S B} is the focal chord of the parabola  \mathrm {y^2=8 x} such that  \mathrm {A S=4} then the length \mathrm {S B} equals
 

Option: 1

6
 


Option: 2

3
 


Option: 3

4
 


Option: 4

None of these


Answers (1)

best_answer

The semi latus rectum of a parabola is the H.M. between the segment of any focal chord of a parabola
\begin{aligned} &\mathrm { \therefore \quad A S, 4, S B \in \text { H.P. } }\\ & \mathrm {\Rightarrow \quad 4=2 \times \frac{A S \cdot S B}{A S+S B} }\\ & \mathrm {\Rightarrow \quad 4=2 \times \frac{4 S B}{4+S B} \Rightarrow S B=4} \end{aligned}

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