Let the line `3x+4y=m` touches the circle `x^(2)+y^(2)-10x=0` .If the possible values of m are `m_(1)` and `m_(2)` then `((m_(1)+m_(2)))/(10)` is

Prove that the line y=m(x-1)+3sqrt(1+m^(2))-2 touches the circle x^(2)+y^(2)-2x+4y-4=0 for all reacl values of m.

If a line (y-2)=m(x-2) is a chord of the circle x^(2)+y^(2)-2x-4y-8=0, then value of m can be equal to -

If the equation ax^(2)+2hxy+by^(2)=0 represented two lines y=m_(1)x and y=m_(2)x the

The slopes of the tangents to the curve y=(x+1)(x-3) at the points where it cuts the x - axis, are m_(1) and m_(2) , then the value of m_(1)+m_(2) is equal to

For all values of m in R the line y-mx+m-1=0 cuts the circle x^(2)+y^(2)-2x-2y+1=0 at an angle

The circle x^(2)+y^(2)-4x+8y+5=0 touches the line 3x-4y=m then sum of the absolute value of m

If y = 2x + m is a diameter to the circle x^(2) + y^(2) + 3x + 4y - 1 = 0 , then find m

Prove that the equation of any tangent to the circle x^(2)+y^(2)-2x+4y-4=0 is of the form y=m(x-1)+3sqrt(1+m^(2))-2

If the line (x)/(l)+(y)/(m)=1 touches the parabola y^(2)=4a(x+b) then m^(2)(l+b)=

2x^(2)+5xy+3y^(2)+6x+7y+4=0 represents two lines y=m_(1)x+c_(1) and y=m_(2)x+c_(2) then m_(1)+m_(2) and m_(1)times m_(2) are