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Statement 1 : The order of the different...

Statement 1 : The order of the differential equation of the family of parabola with focus at origin and axis along x - axis is 1.
because
Statement 2 : A parabola is symmetric about its axis.

A

Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1

B

Statement - 1 is True, Statement - 2 is True, Statement - 2 is NOT a correct explanation for Statement - 1

C

Statement - 1 is True, Statement - 2 is False

D

Statement - 1 is False, Statement - 2 is True

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The differential equation of the family of parabola with focus at the origin and the x-axis an axis, is

    A
    `y((dy)/(dx))^(2)+4x(dy)/(dx)=4y`
    B
    `y((dy)/(dx))^(2)=2x(dy)/(dx)-y`
    C
    `y((dy)/(dx))^(2)+y=2xy(dy)/(dx)`
    D
    `y((dy)/(dx))^(2)+2xy(dy)/(dx)+y-0`

  • The differential equation of the family of parabolas with focus at the origin and the X-axis as axis, is

    A
    `y((dy)/(dx))^(2)+4x(dy)/(dx)=4y`
    B
    `-y((dy)/(dx))^(2)=2x(dy)/(dx)-y`
    C
    `y((dy)/(dx))^(2)+y=2xy(dy)/(dx)`
    D
    `y((dy)/(dx))^(2)+2xy(dy)/(dx)+y=0`

  • The order of the differential equation of the family of parabolas whose axis is the X-axis is

    A
    2
    B
    1
    C
    3
    D
    4

    • Similar Questions

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    Form the differential equation of the family of all the parabolas whose vertex is at origin and axis is y-axis.

    The order and degree of the differential equation of the family of parabolas having vertex at origin and axis along positive x-axis is

    The order of the differential equation of the family of parabolas symmetric about y=1 and tangent to x = 2 is

    The order of the differential equation of all parabolas , whose latus rectum is 4a and axis parallel to the x- axis is

    The order of the differential equation of all parabolas, whose latus rectu, is 4a and axis parallel to the X-axis, is

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