Locus of the points which are at equal distance from `3x + 4y-11 = 0` and `12x + 5y + 2= 0` and which is near the origin is:A. `21x - 77y +153 = 0`B. `99x +77y - 133 = 0`C. `7x - 11y = 19`D. None of these

Locus of the points which are at equal distance from `3x + 4y-11 = 0`

1.	Locus of the points which are at equal distance from `3x + 4y-11 = 0` and `12x + 5y + 2= 0` and which is near the origin is:A. `21x - 77y +153 = 0`B. `99x +77y - 133 = 0`C. `7x - 11y = 19`D. None of these
Answer» Correct Answer - B Points which at equal distance from `3x +4y -11 = 0` and `12x +5y +2 = 0` lie on the angle bisector of the lines. Now given two lines are on opposite sides with respect to origin. Since required line is near to the origin, we have to find the bisector of the angle containing the origin, which is `(2x+4y -11)/(5) =- ((12x +5y+2)/(13))` or `99x +77y - 133 =0`

The slope of the straight line joining the points `(sqrt(3),1)and(-3,-sqrt(3))` is -A. 1B. `sqrt(3)`C. `(1)/(sqrt(3))`D. `-(1)/(sqrt(3))`
The straight line joining the points (3,-5 ) and (-3,-5) is parallel to the -A. y- axisB. x-axisC. line 3x+5y=0D. line 3x-5y=0
The inclination of the line joining the points `(3-sqrt(3))` and `(sqrt(3),-1)` is -A. `15^(@)`B. `30^(@)`C. `60^(@)`D. `120^(@)`
The straight line joining the points (2,-4) and (2,6) makes an angle of `90^(@)` with the -A. y -axisB. x- axisC. line y=3xD. line x-3y=0
Find the angle between ` x+y=3` and the line joining points (1,1) and (-3,4)A. `tan^(-1)((3)/(7))`B. `pi-tan^(-1)((3)/(7))`C. `tan^(-1)((1)/(7))`D. `pi- tan^(-1)((1)/(7))`
A line meets X-axis in A and Y-axis in B. If R (4,6) is point on the line such that AR:RB=3:2, then the equation of the line isA. y=x+10B. x+y+10=0C. x+y=10D. none of these
The equation of the line having x- intercept =5/3, and perendicular to the join of (5,-2) and (-1,3) isA. 6x-5y=10B. 5x-6y=10C. 6x-5y+10=0D. none of these
The value of k such that the lines `2x-3y+k=0,3x-4y-13=0` and `8x-11y-33=0` are concurrent isA. 7B. -7C. 5D. -5
A line passes through the point `(2,2)` and is perpendicular to the line `3x + y =3,` then its `y`-intercept isA. `(1)/(3)`B. `(2)/(3)`C. 1D. `(4)/(3)`
The slope of the line 3x+2y=8 and its intercept on y- axis is -A. `(-(3)/(2))` and 4 unitsB. `((3)/(2))` and 8 unitsC. `((2)/(3))` and 4 unitsD. `(-(2)/(3))` and 8 units