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For a straight line y=(4)/(3)x-4. Choose...

For a straight line `y=(4)/(3)x-4`. Choose correct alternate(s)

A

`(dy)/(dx)=tan53^(@)`

B

`(dx)/(dy)=tan37^(@)`

C

`x-"Intercept is "3`

D

length of linne between x-axis and y-axis is 5 units

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • Choose the correct alternative (s)

    A
    If the greatest height to which a man can throw a stone is h, then the greatest horizontal distance upto which he can throw the stone is 2h.
    B
    The angle of projection for a projectile motion whose range R is n times the maximum height is `tan^(–1)`(4/n)
    C
    The time of flight T and the horizontal range R of a projectile are connected by the equation g `T^2` = 2Rtan`theta` where `theta` is the angle of projection.
    D
    A ball is thrown vertically up. Another ball is thrown at an angle `theta` with the vertical. Both of them remain in air for the same period of time. Then the ratio of heights attained by the two ball 1 : 1.

  • Choose the correct alternative (s)

    A
    If the greatest height to which a man can throw a stone is `h`, then the greatest horizontal distance upto which he can throw the stone is `2h`.
    B
    The angl eof projection for a projectile motion whose range `r` is `n` times the maximum height is `tan^(-1)(4//n)`
    C
    The time of flight `T` and the horizontal range `R` of a parojectile are connected by the equaiton `gT^(2)=2R tan theta` where `theta` is the angle of projection.
    D
    A ball is thorwn vertically up. Another ball is thrown at an angle `theta` with the vertical. Both of them remian in air for the same period of time. Then the ratio of hieghts attained by the two balls `1:1`.

  • Consider the lines L_(1) -=3x-4y+2=0 " and " L_(2)-=3y-4x-5=0. Now, choose the correct statement(s).

    A
    The line x+y=0 bisects the acute angle between `L_(1) "and " L_(2)` containing the origin.
    B
    The line x-y+1=0 bisects the obtuse angle between `L_(1) " and " L_(2)` not containing the origin.
    C
    The line x+y+3=0 bisects the obtuse angle between `L_(1) " and " L_(2)` containing the origin.
    D
    The line x-y+1=0 bisects the acute angle between `L_(1) " and " L_(2)` not containing the origin.

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