(B) The equation of the parabola is $y^2 = 4ax$,where $4a = 4$,so $a = 1$.The condition for the line $y = mx + c$ to be tangent to the parabola $y^2 =

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(B) The equation of the parabola is $y^2 = 4ax$,where $4a = 4$,so $a = 1$.The condition for the line $y = mx + c$ to be tangent to the parabola $y^2 = 4ax$ is $c = a/m$.Given the line $y = mx + 3$,we have $c = 3$.Substituting the values into the condition: $3 = 1/m$.Therefore,$m = 1/3$.

Class 11 Mathematics 10-2. Parabola, Ellipse, Hyperbola Parabola

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The line $y=mx+3$ is tangent to the parabola $y^2=4x$,if the value of $m$ is

MHT CET 2025 All MHT CET

A
$3$
B
$1/3$
C
$4$
D
$1/4$

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Class 11

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10-2. Parabola, Ellipse, Hyperbola

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Parabola

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The line $y=mx+3$ is tangent to the parabola $y^2=4x$,if the value of $m$ is

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