`" Consider "P(x)=x^(2)-2 lambda x+2 lambda^(2)-4 lambda,lambda in R" then minimum value of "P(x)" is "`

If (x+y)^(2)=2(x^(2)+y^(2)) and (xy+lambda)^(2)=4,lambda>0, then lambda is equal to

The equation (x^(2)-6x+8)+lambda (x^(2)-4x+3)=0, lambda in R has

If (x+y)^(2)=2(x^(2)+y^(2)) and (x-y+lambda)^(2)=4,lambda>0 then lambda is equal to

the values of lambda for which (lambda^(2)-3 lambda+2)x^(2)+(lambda^(2)-5 lambda+6)+lambda^(2)-4=0 is identity in x is

If the equation (lambda^(2)-5 lambda+6)x^(2)+(lambda^(2)-3 lambda+2)x+(lambda^(2)-4)=0 is satisfied by more then two values of x then lambda=

If alpha,beta be the roots of the equation lambda^(2)(x^(2)-x)+2 lambda x+3=0 and 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 equation whose roots are ((lambda_(1))^(2))/(lambda_(2)) and ((lambda_(2))^(2))/(lambda_(1))

If f(x)=lambda|sin x|+lambda^(2)|cos x|+g(lambda) has a period =(pi)/(2) then find the value of lambda

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

consider f(X)= cos2x+2xlambda^(2)+(2lambda+1)(lambda-1)x^(2),lambda in R If alpha ne beta and f(alpha+beta)/(2)lt(f(alpha)+f(beta))/(2) for alpha and beta then find the values of lambda