Let `lambda_1,lambda_2` be two values of `lambda` for which the expression `x^2 +(2-lambda)x+lambda-3/4` becomes a perfect square. The value of `(lambda_1^2 +lambda_2^2)` equals (i) `8` (ii) `25` (iii) `50` (iv) `100`

If lambda_(1) and lambda_(2) be two values of lambda for which the expression x^(2)+(2-lambda) x+lambda-(3)/(4) becomes a perfect square, then calculate the value of (lambda_(1)^(2)+lambda_(2)^(2)) .

The intergral value of lambda for which the expression x^(2)-lambda x+(1-2 lambda^(2))>0,AA x in R is

If lambda_(1),lambda_(2)(lambda_(1)>lambda_(2)) are two values of lambda for which the expression f(x,y)=x^(2)+lambda xy+y^(2)-5x-7y+6 can be resolved as a product of two linear factors, then the value of 3 lambda_(1)+2 lambda_(2) is

Find the value of lambda if the equation x^2/(2-lambda)+y^2/(lambda-5)+1=0 represents an ellipse.

If lamda_1, lamda_2 (lambda_1 > lambda_2) are two values of lambda for which the expression f(x,y) = x^2 + lambdaxy +y^2 - 5 x - 7y + 6 can be resolved as a product of two linear factors, then the value of 3lamda_1 + 2lamda_2 is

If lamda_1, lamda_2 (lambda_1 > lambda_2) are two values of lambda for which the expression f(x,y) = x^2 + lambdaxy +y^2 - 5 x - 7y + 6 can be resolved as a product of two linear factors, then the value of 3lamda_1 + 2lamda_2 is

if mu_21 is 1.5, then find the value of lambda_1/lambda_2.

Write the value of lambda for which x^(2)+4x+lambda is a perfect square.

Write the value of lambda for which x^2+4x+lambda is a perfect square.