Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaNormal to ParabolaMedium2 minQB
MathematicsMediumsingle choice

The feet of the normals to y² = 4ax from the point (6a, 0) are

Options:

Answer:
D
Solution:

Normal to y²=4ax: y = mx - 2am - am³. Through (6a, 0): 0 = 6am - 2am - am³, so am(m² - 4) = 0, giving m = 0, ±2. Feet = (am², -2am) = (0,0), (4a,-4a), (4a,4a).

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Normal to Parabola
2mℹ️ Source: QB

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