[" Q.3Let "lambda_(1)" and "lambda_(2)" be two values of "lambda" for which the expression "x^(2)+(2-lambda)x+lambda-(3)/(4)" becomes a perfed "],[" square.The value of "(lambda_(1)^(2)+lambda_(2)^(2))" equals "],[[" (A) "8," (B) "25," (C) "50," (D) "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)) .

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 (ii) 50 (iv) 100

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

The value of lambda for which the expression x^(3) + x^(2) - 5x + lambda will be divisible by (x - 2) 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

If alpha , beta are the roots of lambda(x^(2)+x)+x+5 =0 and lambda_(1) , lambda_(2) are the two values of lambda for which alpha , beta are connected by the relation (alpha)/(beta)+(beta)/(alpha) =4, then the value of (lambda_(1))/(lambda_(2))+(lambda_(2))/(lambda_(1)) =

Let alpha and beta be the values of x obtained form the equation lambda^(2) (x^(2)-x) + 2lambdax +3 =0 and if lambda_(1),lambda_(2) be the two values of lambda for which alpha and beta are connected by the relation alpha/beta + beta/alpha = 4/3 . then find the value of (lambda_(1)^(2))/(lambda_(2)) + (lambda_(2)^(2))/(lambda_(1)) and (lambda_(1)^(2))/lambda_(2)^(2) + (lambda_(2)^(2))/(lambda_(1)^(2))

The value of lambda for which the sum of squares of roots of the equation x^(2)+(3-lambda)x+2=lambda is minimum,then lambda is equal to (a) 2 (b) -1 (c) -3(d)-2