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 the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

If f(x)=lambda|sinx|+lambda^2|cosx|+g(lambda) has a period = pi/2 then find the value 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 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 lambda vec(i) + 2lambda vec(j) + 2 lambda vec(k) is a unit vector then the value of lambda is ……………

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 the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two parallel straight lines, then prove that lambda=mudot

If the equations 2x-lambday+5z=7 and lambda x-8y-10z+14=0 represent the same plane then lambda is :

If the lines 3x^(2)-4xy +y^(2) +8x - 2y- 3 = 0 and 2x - 3y +lambda = 0 are concurrent, then the value of lambda is

The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for : (1) infinitely many values of lambda . (2) exactly one value of lambda . (3) exactly two values of lambda . (4) exactly three values of lambda .