By eliminating the constant in the following equation `x^(2)-y^(2)=c(x^(2)+y^(2))^(2)` its differential equation is `y'=(x(lambda y^(2)-x^(2)))/(y(lambda x^(2)-y^(2)))` then find the value of `lambda`

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

The axes are translated so that the new equation of the circle x^(2)+y^(2)-5x+2y-5=0 has no first degree terms and the new equation x^(2)+y^(2)=(lambda)/(4), then find the value of lambda

The curve satisfying the differential equation sin(x^(3))e^(y)dy+3x^(2)cos(x^(3))e^(y)dx=x sin (x^(2))dx C is the constant of integration is lambda sin (x^(3))e^(y)+cos(x^(2))=C . Then, the value of lambda is

A system of equations lambda x+y+z=1,x+lambda y+z=lambda,x+y+lambda z=lambda^(2) have no solution then value of lambda is

If the points (lambda,-lambda) lies inside the circle x^(2)+y^(2)-4x+2y-8=0, then find the range of lambda.

If the equation lambda x^(2)+4xy+y^(2)+lambda x+3y+2=0 represent a parabola then find lambda

If the equation (5x-1)^(2)+(5y-2)^(2)=(lambda^(2)-2 lambda+1)(3x+4y-1)^(2) represents an ellipse,then find values of lambda

If the equation of a circle is lambda x^(2)+(2 lambda-3)y^(2)-4x+6y-1=0, then the coordinates of centre are

If the following equations x+y-3=0,(1+lambda)x+(2+lambda)y-8=0,x-(1+lambda)y+(2+lambda)=0 are consistent then the value of lambda is

If the equation 3x^(2)+3y^(2)+6 lambda x+2 lambda=0 represents a circle,then the value of lambda. lies in