Find the locus of the point of intersection of the two straight lines `(tx)/2-y/1+t=0` and `x/2+(ty)/1-1=0`

If t is veriable paramete, parameter, show that the locus of the point of intersection of the straight lines (tx)/(a)+(y)/(b)-t = 0 and (x)/(a) - (ty)/(b) + 1 = 0 represents an ellipse

Prove that the locus of point of intersection of the straight lines (tx)/(a)-(y)/(b)+t=0 and (x)/(a)+(ty)/(b)-1=0 where t is a parameter is an ellipse.Prove also they meet at the point whose eccentric angle is 2tan^(-1)t

Find the point of intersection of the straight lines : x= 0, 2x-y +3 =0.

The locus of the point of intersection of thestraight lines tx-2y-3t=0,x-2ty+3=0(t in R, is

Find the point of intersection of the straight lines : x/3-y/4=0, x/2+y/3 =1 .

The locus of the point of intersection of the straight lines (x)/(a)+(y)/(b)=lambda and (x)/(a)-(y)/(b)=(1)/(lambda) ( lambda is a variable), is

The locus of the point of intersection of the straight lines (x)/(a)+(y)/(b)=lambda and (x)/(a)-(y)/(b)=(1)/(lambda) ( lambda is a variable), is

Equation of the tangent to the circle at the point (1, -1) whose centre is the point of intersection of the straight lines x-y=1 and 2x+y-3=0, is

Equation of the tangent to the circle at the point (1, -1) whose centre is the point of intersection of the straight lines x-y=1 and 2x+y-3=0, is

For the variable t, the locus of the point of intersection of the lines 3 tx - 2y + 6t = 0 and 3x + 2ty - 6 = 0 is _