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L4#!#3-D#!#Equation of Line

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The perpendicular from the origin to a line L meets it at the point (3, -9) , equation of the line L is

Find the equation of line passing through points A(0,6,-9) and B(-3,-6,3). If D is the foot of perpendicular drawn from the point C(7,4,-1) on the line AB, then find the coordinates of point D and equation of line CD.

Given two straight lines AB and AC whose equations are 3x + 4y = 5 and 4x - 3y = 5 respectively.Then, the possible equation of line BC through (1, 2), such that AABC is isosceles, is l, = 0 and l_2, = 0, then answer the following questions :1.If I_1 = ax + by+c= 0 and l_2 = dx + ey + f = 0 where a, b, c, d, e, f in I and a, d gt 0, then c + f is

If line line 'I' is parallel to y-axis then what is the equation of line 'l'.

The combined equation of the lines L_1 and L_2 is 2x^2+6xy+y^2=0 , and that of the lines L_3 and L_4 is 4x^2+18xy+y^2=0 . If the angle between L_1 and L_4 be alpha , then the angle between L_1 and L_3 will be .

The point (2,1) is translated parallel to the line L: x-y=4 by 2sqrt(3)units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is

The length of the perpendicular from the origin on a line L is 3. If the perperdicular make an angle of 240^(@) with positive X-axis then the equation of line L is