9.If the eccentricity of an ellipse be 1/?2, then itslatus rectum is equal to its(a) Minor axis (b) Semi-minor axis(c) Major axis (d) Semi-major axis?

Answers (1)

Standard Equation of ellipse 

fracx^2a^2+fracy^2b^2=1 ; ;; ; ; ; (a>b)

e=sqrt1-fracb^2a^2=frac1sqrt2

1-fracb^2a^2=frac12

fracb^2a^2=frac12

Latus ; rectum = frac2b^2a=fraca^2a=a=Semi-major ; axis                                             (ecause 2*a=major ; ; ; axis;; ; ; 2*b=minor ; ; ; axis)

 

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