The locus of midpoints of the perpendiculars drawn from points on line x=2y to the line x=y is `L_(1)` .Suppose (h,k) lies on `L_(1)` .If line `L_(2)` passing through the points (h,k) and (4, 3) is perpendicular to `L_(1)` ,then the value of 7h+5k is

The locus of midpoints of the perpendiculars drawn from points on line x=2y to the line x=y is L_(1) .Suppose (h,k) lies on L_(1) ,If L_(2) passing through (h,k) and (4,3) is perpendicular to L_(1) then value of 7h+5k is N , sum of digits of N is

Suppose that the points (h,k) , (1,2) and (-3,4) lie on the line L_(1) . If a line L_(2) passing through the points (h,k) and (4,3) is perpendicular to L_(1) , then k//h equals

If points (h,k) (1,2) and (-3, 4) lie on line L_(1) and points (h,k) and (4,3) lie on L_(2). If L_(2) is perpendicular to L_(1), then value of (h)/(k) is

For the lines L_(1):3x-2y+5=0 and L_(2):kx+by15=0L_(1) is perpendicular to L_(2) if k=4

L_(1) is a line passing through the point A(n,n+1) having slope, n, L_(2) is a line passing through the point B(-n, n^(2)) and is perpendicular to L_(1) , If L_(1) and L_(2) intersect on y-axis, then n is equal to ________ (n gt 0)

The length of perpendiculars from the point P(1,2,6) on the line L:(x-3)/(-2)=(y+1)/(1)=(z-5)/(2) , is:

Let L_(1):x=y=z and L_(2)=x-1=y-2=z-3 be two lines. The foot of perpendicular drawn from the origin O(0, 0, 0) on L_(1)" to "L_(2) is A. If the equation of a plane containing the line L_(1) and perpendicular to OA is 10x+by+cz=d , then the value of b+c+d is equal to

The portion of the line 4x+5y=20 in the first quadrant is trisected by the lines L_(1) and L_(2) passing through the origin.The tangent of an angle between the lines L_(1) and L_(2) is:

If lines l_(1), l_(2) and l_(3) pass through a point P, then they are called…………. Lines.

A line L has a slope of -2 and passes through the point (r,,-3). A second line,K is perpendicular to L at (a,b) and passes through the point (6,r). Find a in terms of r.