Find the value of `m` for which the lines `m x+(2m+3)y+m+6=0a n dm x+(2m+1)x+(m-6)y+9=0` intersect at a; point on `y-a xi sdot`

Find the value of m for which the lines mx+(2m+3)y+m+6=0 and mx+(2m+1)x+(m-6)y+9=0 intersect at a; point on y-axis.

The one of possible real value of m for which the circles, x^(2)+y^(2)+4x+2(m^(2)+m)y+6=0 and x^(2)+y^(2)+(2y+1)(m^(2)+m)=0 intersect orthogonally is

The one of possible real value of m for which the circles, x^(2)+y^(2)+4x+2(m^(2)+m)y+6=0 and x^(2)+y^(2)+(2y+1)(m^(2)+m)=0 intersect orthogonally is

Number of integral values of m for which lines x+y+1=0,mx-m^(2)y+3=0 and 2mx-(2m-1)y+(3m+2)=0 are concurrent

Find the values of m (m gt 0) for which the area bounded by the line y = mx + 2 and x = 2y – y^(2) is, (i) 9//2 square units and (ii) minimum. Also find

the no.of possible integral values of m for which the circle x^(2)+y^(2)=4 and x^(2)+y^(2)-6x-8y+m^(2)=0 has exactly two common tangents are

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

Find the value of "m for which the quadratic equation (m+1)y^(2)-6(m+1)y+3(m+9)=0,m!=-1 has equal roots.Hence find the roots of the equation.

Find the values of m(m>0) for which the area bounded by the line y=mx+2 and x=2y-y^(2) is,(i)(9)/(2) square units & (ii) minimum.Also find the minimum area.