Let ` L_1 = 0 ` and ` L_2 = 0` be two intersecting straight lines. Then the number of points, whose distance from `L_1` is `2` units and from `L_2` is `5` units is (i)`1` (ii)`0` (iii)`4` (iv)`infty`

Let L_(1)=0and L_(2) =0 be two intarecting straight lines. Then the number of points, whose distacne from L_(1) is 2 units and from L_(2) 2 units is

Let L_(1)=0and L_(2) =0 be two intarecting straight lines. Then the number of points, whose distacne from L_(1) is 2 units and from L_(2) 2 units is

Let L_1 :x+y-3= 0 and L_2:7x -y +5 = 0 be two given lines. Let image of every point on L_1, with respect to a line L lies on L_2 then possible equation of L can be :

Let L_1 : 3X+4Y-1=0 and L_2 : 5z-12y+2=0 be two given lines. Let image of every point on L_1 w.r.t a line L lies on L_2 then possible equation of 'L' can be

Let S = 0, S' = 0 be two circle intersecting at two distinct points and L_1 be their common chord, L_2 is the line joing their centres and L_3 is the radical axis. Then

Let R be the relation over the set of straight lines of a plane such that l_1 R l_2 iff l_1 bot l_2 . Then R is

The straight lines L=x+y+1=0 and L_(1)=x+2y+3=0 are intersecting 'm 'me slope of the straight line L_(2) such that L is the bisector of the angle between L_(1) and L_(2). The value of m^(2) is

Let L_(1) be the projection and L_(2) be the image of the Z-axis in the plane 3x-4y+z+1=0 then find the distance of the point (4,3,5) from the plane containing the lines L_(1) and L_(2)

Consider the lines L_1 and L_2 defined by L_1:xsqrt2+y-1=0 and L_2:xsqrt2-y+1=0 For a fixed constant lambda , let C be the locus of a point P such that the product of the distance of P from L_1 and the distance of P from L_2 is lambda^2 . The line y=2x+1 meets C at two points R and S, where the distance between R and S is sqrt(270) . Let the perpendicular bisector of RS meet C at two distinct points R' and S' . Let D be the square of the distance between R' and S'. The value of lambda^2 is

Consider the lines L_1 and L_2 defined by L_1:xsqrt2+y-1=0 and L_2:xsqrt2-y+1=0 For a fixed constant lambda , let C be the locus of a point P such that the product of the distance of P from L_1 and the distance of P from L_2 is lambda^2 . The line y=2x+1 meets C at two points R and S, where the distance between R and S is sqrt(270) . Let the perpendicular bisector of RS meet C at two distinct points R' and S' . Let D be the square of the distance between R' and S'. The value of D is