`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

Consider the family of lines (x-y-6)+lambda(2x+y+3)=0 and (x+2y-4)+mu(3x-2y-4)=0 .If the lines of these 2 families are at right angle to each other then the locus of their point of intersection,is

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

If m is a variable the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is

If m is a variable the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is

Two lines are drawn at right angles,one being a tangent to y^(2)=4ax and the other x^(2)=4by Then find the locus of their point of intersection.

Show that the lines ( x+1)/(-10) = ( y + 3)/(-1) = ( z - 4) / (1) "and" (x + 10)/(-1) = ( y+1)/(-3) = (z -1)/(4) intersect each other and find the coordinates of the points of intersection .

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__________