The diagram contain four lines `l_1,l_2,l_3,l_4`.

Which lines have negative slope ?

The diagram contain four lines l_1,l_2,l_3,l_4 . Which lines have positive slope ?

The intersection of the planes 2 x-y-3 z=8 and x+2 y-4 z=14 is the line L . The value of a ' for which the line L is perpendicular to the line through (a, 2,2) and (6,11,-1 is

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

If line l_1 is perpendicular to line l_2 and line l_3 has slope 3 then find the equation of line l_1

If line l_1 is perpendicular to line l_2 and line l_3 has slope 3 then find the equation of line l_2

Let L_1 be the line vec r_1=2 hat i+ hat j- hat k+lambda(i+2 hat k) and let L_2 be the line vec r_2=3 hat i+ hat j+mu(i+ hat j- hat k) . Let pi be the plane which contains the line L_1 and is parallel to L_2dot The distance of the plane pi from the origin is a. sqrt(6) b. 1//7 c. sqrt(2//7) d. none of these

The direction cosines of a line equally inclined to three mutually perpendiclar lines having direction cosines as l_(1),m_(1),n_(1),l_(2),m_(2),n_(2) and l_(3), m_(3),n_(3) are

A B C is a right-angled triangle in which /_B=90^0 and B C=adot If n points L_1, L_2, ,L_nonA B is divided in n+1 equal parts and L_1M_1, L_2M_2, ,L_n M_n are line segments parallel to B Ca n dM_1, M_2, ,M_n are on A C , then the sum of the lengths of L_1M_1, L_2M_2, ,L_n M_n is (a(n+1))/2 b. (a(n-1))/2 c. (a n)/2 d. none of these

A straight line L is perpendicular to the line 5x-y=1 . The area of the triangle formed by line L , and the coordinate axes is 5. Find the equation of line Ldot