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Saurabh Lal Gara
Saurabh Lal Gara
Asked: 3 years ago2022-11-06T06:21:06+05:30 2022-11-06T06:21:06+05:30In: General Awareness

The equation of the bisector of that angle between the lines `x+2y-11=0,3x-6y-5=0`which contains the point `(1,-3)`is`(3x=19`(b) `3y=7“3x=19a n d3y=7`(d) None of these
A. 3x=19
B. `3y=7`
C. `3x=19 and 3y=7`
D. none of these

The equation of the bisector of that angle between the lines `x+2y-11=0,3x-6y-5=0`which contains the point `(1,-3)`is`(3x=19`(b) `3y=7“3x=19a n d3y=7`(d) None of these
A. 3x=19
B. `3y=7`
C. `3x=19 and 3y=7`
D. none of these
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  1. 9077f
    2022-10-29T20:06:23+05:30Added an answer about 3 years ago

    Correct Answer – A

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Lalit Padmanabhan
Lalit Padmanabhan
Asked: 3 years ago2022-11-04T18:53:59+05:30 2022-11-04T18:53:59+05:30In: General Awareness

The equation of the bisector of that angle between the lines x + y = 3 and 2x – y = 2 which contains the point (1,1) is
A. `(sqrt5 – 2sqrt2) x + (sqrt5 + sqrt2) y – 3sqrt5 + 2 sqrt2 = 0`
B. `(sqrt5 + 2sqrt2) x + (sqrt5 – sqrt2)y – 3sqrt5 – 2 sqrt2 = 0`
C. 3x = 10
D. none of these

The equation of the bisector of that angle between the lines x + y = 3 and 2x – y = 2 which contains the point (1,1) is
A. `(sqrt5 – 2sqrt2) x + (sqrt5 + sqrt2) y – 3sqrt5 + 2 sqrt2 = 0`
B. `(sqrt5 + 2sqrt2) x + (sqrt5 – sqrt2)y – 3sqrt5 – 2 sqrt2 = 0`
C. 3x = 10
D. none of these
Parabola
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1 Answer

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  1. c9605
    2022-11-05T08:52:03+05:30Added an answer about 3 years ago

    Correct Answer – A
    First we re-write the equations of the two lines in such a way that the values of the expressions on the left hand sides of the equality for x = 1 , y = 1 become positive .
    Re-writing the given equations , we obtain
    -x-y + 3 = 0 and – 2x + y + 2 = 0.
    Now , we obtain the bisector of the angle containing point (1,1) for positive sign. The required bisector is given by
    `(-x-y + 3)/(sqrt((-1)^(2) + (-1)^(2))) = + (-2 x + y + 2)/(sqrt(-2)^(2) + 1^(2))`
    `implies (sqrt5 – 2 sqrt2 ) x + (sqrt5 + sqrt2)y – 3sqrt5 + 2sqrt2 = 0` .

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