Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaGeneralMedium2 minQB

MathematicsMediuminteger

Shift the origin to $(1, 2)$ . If $y^{2} - 8 x - 4 y + 12 = 0$ becomes $Y^{2} = 4 a X$ , find $a$ .

Answer:

Solution:

Substitute $x = X + 1, y = Y + 2$ : the equation reduces to $Y^{2} = 8 X$ , so $a = 2$ .

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:General

⏱ 2mℹ️ Source: QB

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