The graph `y=2x^3-4x+2a n dy=x^3+2x-1` intersect in exactly 3 distinct points. Then find the slope of the line passing through two of these points.

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of m .

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then -1 1 m in R (d) none of these

If the circles x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect in two distinct points P and Q then show that the line 5x+6y-a=0 passes through P and Q for no value of a.

Find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (2, 3) .

Find equation of the line parallel to the line 3x-4y+2=0 and passing through the point (−2,3).

find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (-2, 3).

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then (a) -1 1 (c) m in R (d) none of these

If the lines 2x+3y+1=0, 6x+4y+1=0 intersect the co-ordinate axes in 4 points, then the circle passing through the points is