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

If lambdahati+2lambdahatj+2lambdahatk is a unit vector,then the value of lambda is

If lambda vec(i) + 2lambda vec(j) + 2 lambda vec(k) is a unit vector then the value of lambda is ……………

If the equation x ^2+2(lambda+1)x+lambda^2+lambda+7=0 has only negative roots, then the least value of lambda equals__________.

If roots alpha, beta of the equation (x^(2)-bx)/(ax-c)=(lambda-1)/(lambda+1) are such that alpha+ beta=0 , then the value of lambda is

If A = [(lambda,1),(-1,-lambda)] , then for what value of lambda,A^(2)=0 ?

If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 represents an ellipse, then find values of lambdadot

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)) .

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

If the equation 4x^2-x-1=0a n d3x^2+(lambda+mu)x+lambda-mu=0 have a root common, then the rational values of lambdaa n dmu are a. lambda=(-3)/4 b. lambda=0 c. mu=3/4 b. mu=0

If |(a^2+lambda^2, a b+clambda, ca-blambda), (a b-clambda, b^2+lambda^2, b c+a), (ca+blambda, bc-alambda, c^2+lambda^2)| |(lambda, c, -b), (-c,lambda, a), (b,-a,lambda)|=(1+a^2+b^2+c^2)^3 , then he value of lambda is a. 8 b. 27 c. 1 d. -1