A line `L_1-=3y-2x-6=0` is rotated about its point of intersection with the y-axis in the clockwise direction to make it `L_2` such that the are formed by `L_1,L_2` the x-axis, and line `x=5` is `(49)/3s qdotu n i t s` if its point of intersection with `x=5` lies below the x-axis. Find the equation of `L_2dot`

A line L_(1)-=3y-2x-6=0 is rotated about its point of intersection with the y-axis in the clockwise direction to make it L_(2) such that the are formed by L_(1),L_(2) the x-axis,and line x=5 is (49)/(3) sq.units if its point of intersection with x=5 lies below the x-axis.Find the equation of L_(2).

If the lines joining the origin to the points of intersection of a line L and x^(2)+y^(2)=4 are coordinate axes then equation of L is

The area of triangle formed by the lines l_1 and l_2 and the x-axis is:

The lines L_1: x-2y+6=0&L_2: x-2y-9=0 are tangents to the same circle. If the point of contact of L_1 with the circle is (-2,2), then: the centre of the circle is (-7/2,5) the centre of the circle is (-1/2,-1) area of the circle is (45pi)/4s qdotu n t i s the point of contact of L_2 with the circle has the co-ordinates (-5,8)

The lines L_1: x-2y+6=0&L_2: x-2y-9=0 are tangents to the same circle. If the point of contact of L_1 with the circle is (-2,2), then: the centre of the circle is (-7/2,5) the centre of the circle is (-1/2,-1) area of the circle is (45pi)/4s qdotu n t i s the point of contact of L_2 with the circle has the co-ordinates (-5,8)

Lying in the plane x+y+z=6 is a line L passing through (1, 2, 3) and perpendicular to the line of intersection of planes x+y+z=6 and 2x-y+z=4 , then the equation of L is

Lying in the plane x+y+z=6 is a line L passing through (1, 2, 3) and perpendicular to the line of intersection of planes x+y+z=6 and 2x-y+z=4 , then the equation of L is

A straight line L through the point (3,-2) is inclined at an angle 60^@ to the line sqrt(3)x+y=1 . If L also intersects the x-axis then find the equation of L .

A straight line L is drawn through the point A(2,1) is such that its point of intersection with x+y=9 at distance of 3sqrt(2) from A .Then angle made by L with positive direction of x -axis is

A straight line L is drawn through the point A(2,1) is such that its point of intersection with x+y=9 at distance of 3sqrt(2) from A. Then angle made by L with positive direction of x-axis is