" प्रश्न 1."(x)/(a)+(y)/(b)=1

The equations (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 are inconsistent if

Prove that the diagonals of the parallelogram formed by the four lines : (x)/(a)+(y)/(b)=1 , (x)/(a)+(y)/(b)=-1 , (x)/(a)-(y)/(b)=1 , (x)/(a)-(y)/(b)=-1 are at right angles.

if (1)/(ab')+(1)/(ba')=0, then lines (x)/(a)+(y)/(b)=1 and (x)/(b')+(y)/(a')=1 are

If (x)/(l)+(y)/(m)=1 is any line passing through the intersection point of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 then prove that (1)/(l)+(1)/(m)=(1)/(a)+(1)/(b)

The equation of the tangent to the curve y=be^(-x/a) at the point where it crosses the y-axis is a)(x)/(a)-(y)/(b)=1( b) ax+by=1 c)ax -by=1( d) (x)/(a)+(y)/(b)=1

If (x)/(c)+(y)/(d)=1 be any line passing through the intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1, then

Prove that the following sets of three lines are concurrent: (x)/(a)=(y)/(b)=1,(x)/(b)+(y)/(a)=1 and y=x

If the slope of the line ((x)/(a)+(y)/(b)-1)+k((x)/(b)+(y)/(a)-1)=0 is -1 then the value of k=?

Simplify : : ( ( x+(1)/(y)) ^(a) ( x-(1)/(y))^(b))/((y+(1)/(x))^(a) (y-(1)/(x))^(b))

The expression ((x+(1)/(y))^(a)*(x-(1)/(y))^(b))/((y+(1)/(x))^(a)*(y-(1)/(x))^(b)) reduces to a.((x)/(y))^(a-b) b.((y)/(x))^(a-b)backslash c((x)/(y))^(a+b)d.((y)/(x))^(a+b)