Let there be two lines `2x + 3y + lambda= 0` and `lambdax-3y-1= 0` . If the origin lies in the obtuse angle then

If the lines 3x + 4y+ 1 = 0, 5x +lambda y + 3 = 0 and 2x + y-1 = 0 are concurrent, then lambda=

Consider the lines 2x-3y+9=0 and 2x-3y+7=0 Find the distance from the origin to these two lines.

If (lambda^(2),lambda+1) lambda in z belong to the region between the lines x+2y-5 =0 and 3x-y+1=0 which includes the origin then the possible number of such point is

If the equation 3x^2 + 3y^2 + 6lambdax + 2lambda = 0 represents a circle, then the value of lambda . lies in

Let the acute angle bisector of the two planes x - 2y - 2z + 1 = 0 and 2x - 3y - 6 z+ 1= 0 be the plane P. Then which of the following points lies on P ?

Let the acute angle bisector of the two planes x - 2y - 2z + 1 = 0 and 2x - 3y - 6 + 1= 0 be the plane P. Then which of the following points lies on P ?

Let R be the interior region between the lines 3x-y-1=0 and x+2y-5=0 containing the origin. The set of all values of a for which the points (a^2,a+1) lies in R is

The equation of the line which bisects the obtuse angle between the lines x - 2y + 4 = 0 and 4x - 3y + 2 = 0, is

If the lines x+y=0, x-y=0 and 2x+3y-6=0 are the sides of a triangle and (-2, a) is an interior point of the triangle then a lies