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10-2. Parabola, Ellipse, Hyperbola
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અતિવલય $16x^2 - y^2 + 64x + 4y + 44 = 0$ ની પ્રધાનઅક્ષ અને અનુબદ્ધ અક્ષોનું સમીકરણ :
A
$x = 2, y + 2 = 0$
B
$x = 2, y = 2$
C
$y = 2, x + 2 = 0$
D
આપેલ પૈકી એક પણ નહિ
Solution
$16 x ^2- y ^2+64 x +4 y +44=0$
$\Rightarrow 16 x ^2+64 x -\left( y ^2-4 y \right)+44=0$
$\Rightarrow 16\left( x ^2+4 x +4-4\right)-\left( y ^2-4 y +4-4\right)+44=0$
$\Rightarrow 16( x +2)^2-64-( y -2)^2+4+44=0$
$\Rightarrow 16( x +2)^2-( y -2)^2-16=0$
$( x +2)^2-\frac{( y -2)^2}{16}=1$
$\therefore$ Trans-verse axis $y=2$, and conjugate axis $x+2=0$
Standard 11
Mathematics
