Gujarati
10-2. Parabola, Ellipse, Hyperbola
easy

अतिपरवलय $16{x^2} - 9{y^2} = $ $144$ का नाभिलम्ब है

A

$\frac{{16}}{3}$

B

$\frac{{32}}{3}$

C

$\frac{8}{3}$

D

$\frac{4}{3}$

Solution

(b) अतिपरवलय का समीकरण

$16{x^2} – 9{y^2} = 144$

$ \Rightarrow \,\frac{{{x^2}}}{9} – \frac{{{y^2}}}{{16}} = 1$ है।

नाभिलम्ब $ = \frac{{2{b^2}}}{a}$ = $\frac{{2.16}}{3} = \frac{{32}}{3}$.

Standard 11
Mathematics

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