(B) The equation of the parabola is $x^{2} = 4ay$.Since the parabola passes through the point $(2, 1)$,we substitute $x = 2$ and $y = 1$ into the equa

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(B) The equation of the parabola is $x^{2} = 4ay$.Since the parabola passes through the point $(2, 1)$,we substitute $x = 2$ and $y = 1$ into the equation:$(2)^{2} = 4a(1)$$4 = 4a$The length of the latus rectum of the parabola $x^{2} = 4ay$ is defined as $4a$.From the equation $4 = 4a$,we can see that the length of the latus rectum is $4$.

Class 11 Mathematics 2 Conic Sections: Parabola, Ellipse and Hyperbola Parabola

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If the parabola $x^{2} = 4ay$ passes through the point $(2, 1)$,then the length of the latus rectum is

KCET 2020 All KCET

A
$1$
B
$4$
C
$2$
D
$8$

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Class 11

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2 Conic Sections: Parabola, Ellipse and Hyperbola

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Parabola

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If the parabola $x^{2} = 4ay$ passes through the point $(2, 1)$,then the length of the latus rectum is

Similar Questions

Find the equation of the latus rectum of the parabola $x^2 = -12y$.

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