Let the lines `(y-2)=m_1(x-5)` and `(y+4)=m_2(x-3)` intersect at right angles at `P` (where `m_1a n dm_2` are parameters). If the locus of `P` is `x^2+y^2gx+fy+7=0` , then the value of `|f+g|` is__________

Let the lines (y-2)=m_1(x-5) and (y+4)=m_2(x-3) intersect at right angles at P (where m_1 and m_2 are parameters). If the locus of P is x^2+y^2+gx+fy+7=0 , then the value of |f+g| is__________

Let the lines (y-2)=m_1(x-5) and (y+4)=m_2(x-3) intersect at right angles at P (where m_1 and m_2 are parameters). If the locus of P is x^2+y^2+gx+fy+7=0 , then the value of |f+g| is__________

Let the lines (y-2)=m_(1)(x-5) and (y+4)=m_(2)(x-3) intersect at right angles at P (where m_(1) and m_(2) are parameters).If the locus of P is x^(2)+y^(2)gx+fy+7=0, then the value of |f+g| is

Let the lines (y-2)=m_(1)(x-5) and (y+4)=m_(2)(x-3) intersect at right angles at P (where m_(1) and m_(2) are parameters). If locus of P is x^(2)+y^(2)+gx+fy+7=0 , then ((g)/(2))^(2)+((f)/(2))^(2)-7 is equal to

Let the lines (y-2)=m_(1)(x-5) and (y+4)=m_(2)(x-3) intersect at right angles at P (where m_(1) and m_(2) are parameters). If locus of P is x^(2)+y^(2)+gx+fy+7=0 , then ((g)/(2))^(2)+((f)/(2))^(2)-7 is equal to

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of m .

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of m .

Let O be the origin and P be a variable point on the circle x^(2)+y^(2)+2x+2y=0 .If the locus of mid-point of OP is x^(2)+y^(2)+2gx+2fy=0 then the value of (g+f) is equal to -

The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0 and (m-2)x+(2m-5)y=0 are

y-1=m_(1)(x-3) and y-3=m_(2)(x-1) are two family of straight lines,at right angled to each other The locus of their point of intersection is