Let `lambda` represent the sum of intercepts made by the line `x+2y=4` on the two axes, then the value of `sqrt(lambda+ sqrt(lambda +sqrt(lambda+ sqrt(lambda) +.....oo)))` (where `lambdagt0`) is

int_(0)^(lambda) (ydy)/(sqrt(y+lambda)) is equal to

Find the locus of the point of intersection of the lines sqrt(3x)-y-4sqrt(3 lambda)=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 for different values of lambda.

int_ (0) ^ (1) (xdx) / (sqrt (x + lambda) + sqrt (x + mu)), lambda! = mu

If tan^(-1) (sqrt( 1 +x^(2)) -1)/x = lambda tan^(-1)x then the value of lambda is

The intercepts made by the line y=x+lambda on the circles x^(2)+y^(2)-4=0 and x^(2)+y^(2)-10x-14y+65=0 are equal,then the value of 2 lambda-3 is

If a circle passes through the points of intersection of the coordinate axes with the lines lambda x-y+1=0 and x-2y+3=0 then the value of lambda is.........

Portion of asymptote of hyperbola x^2/a^2-y^2/b^2 = 1 (between centre and the tangent at vertex) in the first quadrant is cut by the line y + lambda(x-a)=0 (lambda is a parameter) then (A) lambda in R (B) lambda in (0,oo) (C) lambda in (-oo,0) (D) lambda in R-{0}

alpha,beta are roots of lambda(x^(2)-x)+x+5=0 If lambda1 and lambda2 are the two values of lambda for which the roots alpha,beta are connected by the realation (alpha)/(beta)+(beta)/(alpha)=4 then the value of (((lambda1)/(lambda2)+(lambda2)/(lambda1))/(14)) is:

Two particle are moving perpendicular to each with de-Broglie wave length lambda_(1) and lambda_(2) . If they collide and stick then the de-Broglie wave length of system after collision is : (A) lambda = (lambda_(1) lambda_(2))/(sqrt(lambda_(1)^(2) + lambda_(2)^(2))) (B) lambda = (lambda_(1))/(sqrt(lambda_(1)^(2) + lambda_(2)^(2))) (C) lambda = (sqrt(lambda_(1)^(2) + lambda_(2)^(2)))/(lambda_(2)) (D) lambda = (lambda_(1) lambda_(2))/(sqrt(lambda_(1) + lambda_(2)))