If a circle passes through the point of intersection of the lines `lambdax- y +1=0` and `x-2y+3=0` with the coordinate axis, then value of `lambda` is

If a circle passes through the points where the lines 3kx- 2y-1 = 0 and 4x-3y + 2 = 0 meet the coordinate axes then k=

Find the equation of the line passing through the point of intersection of the lines 4x + 7y - 3 = 0 and 2x – 3y + 1 = 0 that has equal intercepts on the axes.

The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1 . If this line passes through the point of intersection of the nearest directrix and the x-axis, then the eccentricity of the hyperbola is

A line passes through the point of intersection of the lines 100x + 50y-1=0 and 75x + 25y + 3 = 0 and makes equal intercepts on the axes. Its equation is

Find the equation of the lines passing through the point of intersection lines 4x-y+3=0 and 5x+2y+7=0 through the point (-1,2)

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The line 5x + 4y = 0 passes through the point of intersection of straight lines (1) x+2y-10 = 0, 2x + y =-5

Find the equation of a line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

Any circle through the point of intersection of the lines x+sqrt(3)y=1 and sqrt(3)x-y=2 intersects these lines at points Pa n dQ . Then the angle subtended by the arc P Q at its center is (a) 180^0 (b) 90^0 (c) 120^0 depends on center and radius