(c) ${\left( {\frac{x}{a}} \right)^{1/3}} = \cos \,\theta ,\,\,{\left( {\frac{y}{b}} \right)^{1/3}} = \sin \theta $ Now square and add.

${\left( {\frac{x}{a}} \right)^{2/3}} + {\left( {\frac{y}{b}} \right)^{2/3}} = 1$

3.Trigonometrical Ratios, Functions and IdentitiesEasy

જો $x = a{\cos ^3}\theta ,y = b{\sin ^3}\theta ,$ તો

A
${\left( {\frac{a}{x}} \right)^{2/3}} + {\left( {\frac{b}{y}} \right)^{2/3}} = 1$
B
${\left( {\frac{b}{x}} \right)^{2/3}} + {\left( {\frac{a}{y}} \right)^{2/3}} = 1$
C
${\left( {\frac{x}{a}} \right)^{2/3}} + {\left( {\frac{y}{b}} \right)^{2/3}} = 1$
D
${\left( {\frac{x}{b}} \right)^{2/3}} + {\left( {\frac{y}{a}} \right)^{2/3}} = 1$

Easy

Medium

Easy

Medium

Medium