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Statement I The graph of y=sec^(2)x is s...

Statement I The graph of `y=sec^(2)x` is symmetrical about the Y-axis.
Statement II The graph of `y=tax` is symmetrical about the origin.

A

Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement II is correct but Statement I is incorrect

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The parabola y ^(2) =x is symmetric about

    A
    X-axis
    B
    Y-axis
    C
    Both X-axis and Y-axis
    D
    The line `y=x`

  • If the graph of a function f(x is symmetrical about the line x = a, then

    A
    ` f (a + x ) = f (a- x )`
    B
    `f (a + x) = f (x - a )`
    C
    `f(x) = f (-x)`
    D
    none of these

  • The graph of the function Y=f(x) is symmetrical about the line x=2, then :

    A
    f(x+2)=f(x-2)
    B
    f(2+x)=f(2-x)
    C
    f(x)=f(-x)
    D
    none of these

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    Four statements, about the graph of f(x)=log_(10^@) ((1+x)/(1-x)), are given below. Mark all the correct statements:-I: the graph is symmetric about the y-axis II : the graph lies in the 4th and 1st quad rants III : the graph is symmetric about the origin IV : the graph lies in the 3rd and 1st quadrants and goes through the origin

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