The lines `x +y =|a|` and `ax-y = 1` intersect each other in the first quadrant. Then the set ofpossible values of a is the interval

The lines x+y=|a| and ax-y=1 intersect each other in the first quadrant. Then the set of all possible values of a is the interval:

The lines 3x - y + 2= 0 and x + 3y + 4 = 0 intersect each other in the line "_______" .

Two parabola with a coomon vertex and with axes along x-axis and y-axis, respectively intersect each other in the first quadrant . If the length of the latus rectum of each parabola is 3 , then the equation of common tangent to the two parabola is

The lines x = 2 and y = - 3 intersect in "_______" quadrant .

Let x^(2)+y^(2)=r^(2) and xy=1 intersect at A&B in first quadrant,If AB=sqrt(14) then find the value of r.

Lines jointly given by x^(2)-9y^(2)-x+3y=0 intersect each other in the point

The number of integral points (x,y) ( i.e,x and y both are integers) which lie in the first quadrant but not on the coordinate axes and also on the straight line 3x+5y=2007is equal to

Let the line y=mx and the ellipse 2x^(2)+y^(2)=1 intersect at a point P in the first quadrant. If the normal to this ellipse at P meets the co - ordinate axes at (-(1)/(3sqrt2),0) and (0, beta) , then beta is equal to