The family of lines `(l+3m) x + 2(l+m) y= (m-l)`, where `l!=0` passes through a fixed point having coordinates (A) `(2, -1)` (B) (0, 1) (C) `(1, -1)` (D) `(2, 3)`

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

The line L_(1):(x)/(5)+(y)/(b)=1 passes through the point (13, 32) and is parallel to L_(2):(x)/(c)+(y)/(3)=1. Then, the distance between L_(1) andL_(2) is

The perpendicular bisector of a line segment with end points (1, 2, 6) and (-3, 6, 2) passes through (-6, 2, 4) and has the equation of the form (x+6)/(l)=(y-2)/(m)=(z-4)/(n) (where l gt0 ), then the value of lmn -(l+m+n) equals to

A line L passes through the points (1, 1) and (0, 2) and another line M which is perpendicular to L passes through the point (0,-12).The area of the triangle formed by these lines with y-axis is- (A) 25/8 (B) 25/16 (C) 25/4 (D) 25/32

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)

if line 2x+7y-1=0 intersect the lines L1:3x+4y+1=0 and L2:6x+8y-3=0 in A and B respectively,then equation of line parallal to L1 and L2 and passes through a point P such that AP:PB=2:1 (internally) is (P is on the line 2x + 7y-1=0)

What designation will you assign to an to an orbital having following quantum number- (a) n=3, " " l=1, " "m=-1 (b) n=," " l=0," "m=0 (c) n=2," "l=1" " m=0