If the roots of the equation `4B^(2)+ lambda B-2 =0` are of the from `k/(k+1)and (k+1)/(k+2),` then what is the value of `lambda`?

If the roots of the equation ax^(2)+bx+c=0 are of the form (k+1)/k and (k+2)/(k+1), then (a+b+c)^(2) is equal to 2b^(2)-ac b.a62 c.b^(2)-4ac d.b^(2)-2ac

If the roots of the equation a x^2+b x+c=0 are of the form (k+1)/k and (k+2)/(k+1) ,then (a+b+c)^2 is equal to 2b^2-a c b. a 62 c. b^2-4a c d. b^2-2a c

If alpha and beta are the roots of equation (k+1) tan^(2)x-sqrt2lambda, tan=1-k and tan^(2)(alpha+beta)=50 . Find the value of lambda

If alpha and beta are the roots of equation (k+1) tan^(2)x-sqrt2lambda tan(x)=1-k and tan^(2)(alpha+beta)=50 . Find the value of lambda

If the roots of the equation (a)/(x+a+k)+(b)/(x+b+k)=2 are equal in magnitude but opposite in sign, then the value of k is

If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicular to the line through the points B and C(2+2,k,1) , then what is the value of k?