If the lines `lx+y+1=0,x+"my"+1=0" and "x+y+n=0` intersect at one point then the value of
`(1)/(1-l)+(1)/(1-m)+(1)/(1-n)` is (l,m, n are unequal).

If lx + my + 3 = 0 and 3x - 2y - 1 = 0 represent the same line,find the values of l and m.

If m, n in N , then l_(m n) = int_(0)^(1) x^(m) (1-x)^(n) dx is equal to

The condition that the line (x-x_(1))/(l)=(y-y_(1))/(m)=(z-z_(1))/(n) lies in the plane ax+by+cz+d=0 is

A triangle is formed by the lines x+y=0,x-y=0 and lx+my+1=0 . If l and m vary subject to the condition l^(2)+m^(2)=1 , then the locus of the circumcentre of the triangle is

The condition that the line (x-x_1)/l=(y-y_1)/m=(z-z_1)/n lies in the plane ax+by+cz+d=0 is

The condition for the lines lx+my+n=0 and l_(1)x+m_(1)y+n_(1)=0 to be conjugate with respect to the circle x^(2)+y^(2)=r^(2) is

If the line lx + my = 1 is a tangent to the circle x^(2) + y^(2) = a^(2) , then the point (l,m) lies on a circle.