दीर्घवृत्त का समीकरण ज्ञात कीजिए जो दिए गए प्रतिबंधों को संतुष्ट करता है
जिसके शीर्ष `(pm5,0)` तथा नाभियाँ `(pm4,0)` है

Answer

(i) `9x^(2)+25y^(2)=225`, (ii) `100x^(2)+36y^(2)=3600`, (iii) `25x^(2)+9y^(2)=225`, (iv) `7x^(2)+15y^(2)=247`,
(v) `x^(2)+2y^(2)=18`, (iv) `16x^(2)+7y^(2)=688`, (vii) `(x^(2))/(9)+(y^(2))/(4)=1`, (viii) `(x^(2))/(1)+(y^(2))/(5)=1`, (i x) `(x^(2))/(169)+(y^(2))/(144)=1`,
(x) `(x^(2))/(64)+(y^(2))/(100)=1`, (x i) `(x^(2))/(15)+(y^(2))/(7)=1`, (x ii) `(x^(2))/(25)+(y^(2))/(9)=1`, (x iii) `(x^(2))/(10)+(y^(2))/(40)=1`, (x iv) `(x^(2))/(52)+(y^(2))/(13)=1`