माना C_1 : x^2 + y^2 = 1 तथा C_2 : x^2 + y^2- ( lamda + 6)x + (8-2 lamda) y - 3 = 0 है।यदि lamda...

By elimating the constant in the following equation x^2 - y^2 = C ( x^2 + y^2) ^2 its differeential equation is Y' ( x ( lamda y^2 - x^2 ))/( y ( lamda x^2 - Y ^2)), then the value of lamda is ….

If the lines (1 -x )/(3) = ( 7y - 14)/(2 lamda) = (z - 3)/(2) "and" (7 - 7x)/(3lamda) = (y - 5)/(1) = ( 6 - z ) /(5) are at right angle, then the value of lamda is

If the lines x = 1 + s, y = - 3 - lamda s , z = 1 + lamda s and x = ( t ) / ( s ) , y = 1 + t , z = 2 - t are coplanar, then lamda is equal to

x ^(2) (lamda ^(2) - 4 lamda + 3) +y ^(2) (lamda ^(2) - 6 lamda +5) =1 will represent an ellipse if lamda lies in the interval

If the portion of the asymptote between the cnetre and the tangent at the vertex of the hyperbola (x ^(2))/(a^(2)) - (y ^(2))/(b ^(2)) =1 in the third quadrant is cut by the line y + lamda (x + a) = 0, lamda being parameter, then