Find the value of ` lambda ` if the following equations are consistent
x+y-3=0
`(1+lambda)x+(2+lambda)`y-8=0
`x-(1-lambda)y+(2+lambda)=0`

Find the values of lambda if the following of lines perpendicular : (1-x)/(3) = (7y-14)/(3lambda)=(z+1)/(2) and (7-7x)/(3lambda) = y/1 = (1-z)/(5)

The values of theta , lambda for which the following equations sinthetax-costhetay+(lambda+1)z=0 , costhetax+sinthetay-lambdaz=0 , lambdax+(lambda+1)y+costhetaz=0 have non trivial solution, is

Transition between three energy energy levels in a particular atom give rise to three Spectral line of wevelength , in increasing magnitudes. lambda_(1), lambda_(2) and lambda_(3) . Which one of the following equations correctly ralates lambda_(1), lambda_(2) and lambda_(3) ? lambda_(1)=lambda_(2)-lambda_(3) lambda_(1)=lambda_(3)-lambda_(2) (1)/(lambda_(1))=(1)/(lambda_(2))+(1)/(lambda_(3)) (1)/(lambda_(2))=(1)/(lambda_(3))+(1)/(lambda_(1))

Find the value of lambda , if the line 3x-4y-13=0,8x-11 y-33=0a n d2x-3y+lambda=0 are concurrent.

Find the value of lambda , if the line 3x-4y-13=0,8x-11 y-33=0a n d2x-3y+lambda=0 are concurrent.

Find the value of lambda , if the line 3x-4y-13=0,8x-11 y-33=0 and 2x-3y+lambda=0 are concurrent.

Find all values of lambda for which the (lambda-1)x+(3lambda+1)y+2lambdaz=0(lambda-1)x+(4lambda-2)y+(lambda+3)z=0 2x+(3lambda+1)y+3(lambda-1)z=0 possess non-trivial solution and find the ratios x:y:z, where lambda has the smallest of these value.

The value of the lambda if the lines (2x+3y+4)+lambda(6x-y+12)=0 are

Find the value of lambda\ , if x=-lambda\ a n d\ y=5/2 is a solution of the equation x+4y-7=0

Find the value of lambda so that the line 3x-4y= lambda may touch the circle x^2+y^2-4x-8y-5=0