If $(a + 4) x + (a^{2} - 9) y + (a - 4) = 0$ passes through the origin then a = _______.

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Solution

The correct option is B 4
Given,

$(a + 4) x + (a^{2} - 9) y + (a - 4) = 0$

since, the above equation passes through the origin, we have $(x, y) = (0, 0)$

$∴ (a + 4) (0) + (a^{2} - 9) (0) + (a - 4) = 0$

$\Rightarrow a - 4 = 0$

$∴ a = 4$

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If (a+4)x+(a2−9)y+(a−4)=0 passes through the origin then a = _______.

The correct option is B 4Given,(a+4)x+(a2−9)y+(a−4)=0since, the above equation passes through the origin, we have (x,y)=(0,0)∴(a+4)(0)+(a2−9)(0)+(a−4)=0⇒a−4=0∴a=4

If $(a + 4) x + (a^{2} - 9) y + (a - 4) = 0$ passes through the origin then a = _______.

The correct option is B 4
Given,

$(a + 4) x + (a^{2} - 9) y + (a - 4) = 0$

since, the above equation passes through the origin, we have $(x, y) = (0, 0)$

$∴ (a + 4) (0) + (a^{2} - 9) (0) + (a - 4) = 0$

$\Rightarrow a - 4 = 0$

$∴ a = 4$