If `lamda_(1)` and `lamda_(2)` are the two valyes of `lamda` such that the `alpha` and `beta` of quadratic equation `lamda(x^(2)-x)+x-5=0` satisfy `(alpha)/(beta)+(beta)/(alpha)+(4)/(5)=0` then `(lamda_(1))/(lamda_(2)^(2))+(lamda_(2))/(lamda_(1)^(2))` is equal to

If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+5=0 . If lamda_(1) and lamda_(2) are two values of lamda for which the roots alpha, beta are related by (alpha)/(beta)+(beta)/(alpha)=4/5 find the value of (lamda_(1))/(lamda_(2))+(lamda_(2))/(lamda_(1))

The value of lamda such that sum of the squares of the roots of the quadratic equation, x^(2)+(3-lamda)x+2=lamda had the least value is

If lamda_(1) and lamda_(2) are the wavelengths of the first members of the Lyman and Paschen series respectively, then lamda_(1):lamda_(2) is

lamda_1, lamda_2, lamda_3 are the first 3 lines of balmer series. Find lamda_1//lamda_3

The determinant Delta =|(lamda a , lamda^(2)+a^(2),1),(lamda b,lamda^(2)+b^(2),1),(lamdac,lamda^(2)+c^(2),1)| equals

If lamda_1 " and " lamda_2 are the wavelengths of the first members of the Lyman and paschen series respectively, then lamda_1/lamda_2 is equal to

For which value(s) of lamda , do the pair of linear equations lamda x+ y= lamda^(2) and x+ lamda y= 1 have no solution?

For which value(s) of lamda , do the pair of linear equations lamda x+ y= lamda^(2) and x+ lamda y= 1 have a unique solution?