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If the point (a^2,a+1) lies in the angle...

If the point `(a^2,a+1)` lies in the angle between the lines `3x-y+1=0` and `x+2y-5=0` containing the origin, then find the value of `adot`

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Knowledge Check

  • The point (a^(2),a+1) lies in the angle between the lines 3x+y+1=0 and x+2y-5=0 containing the origin. If a is an integer, then the sum of all possible values of a is

    A
    `-2`
    B
    `-3`
    C
    `-1`
    D
    2

  • If the point (2 cos theta, 2 sin theta) , for theta in (0, 2pi) lines in the region between the lines x+y=2 and x-y=2 containing the origin, then theta lies in

    A
    `(0, (pi)/(2)) uu ((3pi)/(2), 2pi)`
    B
    `[0,pi]`
    C
    `((pi)/(2), (3pi)/(2))`
    D
    `[(pi)/(4),(pi)/(2)]`

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    The angle between the lines 3x-y+5=0,x+3y-2=0 is

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    The point P(a^(2),a+1) lis in the angle between the two given lines, 3x-y+1=0,x+2y-5=0 containing the origin. Find the number of integral values of a.

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