If the curves `C_1 : y= (In x)/x` and `C_2 : y=lambdax^2` (where `lambda` is constant) touches each other, then the value of `lambda` is

If the curve C_(1):y=(ln x)/(x) and C_(2):lambda x^(2)( where lambda is a constant x touches each other,then the value of lambda is

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

The solution of the differential equation 1/(x^2 ) ((dy)/(dx))^(2) + 6 = (5/x)(dy)/(dx) is y = lambdax^2 + c (where, c is an arbitary constant). The sum of all the possible value of lambda is

The solution of the differential equation 1/(x^2 ) ((dy)/(dx))^(2) + 6 = (5/x)(dy)/(dx) is y = lambdax^2 + c (where, c is an arbitary constant). The sum of all the possible value of lambda is

If the line y=3 x+lambda touches the hyperbola 9 x^(2)-5 y^(2)=45, then a value of lambda is

If the system of equation x+lambday+1=0,\ lambdax+y+1=0\ &\ x+y+lambda=0.\ is consistent the find the value of lambda

If the system of equation x+lambday+1=0,\ lambdax+y+1=0\ &\ x+y+lambda=0.\ is consistent the find the value of lambda

If the system of equation x+lambday+1=0,\ lambdax+y+1=0\ &\ x+y+lambda=0.\ is consistent the find the value of lambda

A B C is a variable triangle such that A is (1,2) and B and C lie on line y=x+lambda (where lambda is a variable). Then the locus of the orthocentre of triangle A B C is (a) (x-1)^2+y^2=4 (b) x+y=3 (c) 2x-y=0 (d) none of these