The minimum value of` x^(2)+7x-5` is m at `x=lambda` then `m+lambda`=

If M and m are maximum and minimum value of f(x)=cos^(2)x-4cos x+7,x in R respectively then find (M-m)

If the minimum value of x^2+2x+3 is m and maximum value of -x^2+4x+6 is M then m+M=

2x^2+4x+7 has minimum value m at x= alpha then (alpha,m)=

let 1+2x+3x^(2)+4x^(3)+.......+ the least value of x is lambda then lambda equals

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

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)

If the image of the point M(lambda,lambda^(2)) on the line x+y = lambda^(2) is N(0, 2), then the sum of the square of all the possible values of lambda is equal to

The value of (lambda, mu) for which (lambda - mu) x^3 - (lambda - 2) x^2 -3x +7=0 will have two infinite roots is

The value of lambda for which the equation lambda^2 - 4lambda + 3+ (lambda^2 + lambda -2)x + 6x^2 - 5x^3 =0 will have two roots equal to zero is

The minimum value of x which satisfies the inequality sin^(-1)x ge cos^(-1)x is lambda , then the value of 2lambda is (use sqrt2=1.41 )