Find the range of values of `lambda` for which the point `(lambda,-1)` is exterior to both the parabolas `y^2=|x|dot`

Range of values of k for which the point (k,-1) is exterior to both the parabolas y^(2)=|x| is

If the point (sin theta,(1)/(sqrt(2))) lies exterior to both the parabolas y^(2)=|x| .Then theta can belong to

Find the value of lambda or which the points A(2,5,1) ,B(1,2,-1) and C(3, lambda ,3) are collinear .

the value of lambda for which the line 2x-(8)/(3)lambda y=-3 is a normal to the conic x^(2)+(y^(2))/(4)=1 is:

the value of lambda for which the line 2x-(8)/(3)lambda y=-3 is a normal to the conic x^(2)+(y^(2))/(4)=1 is:

Is there a real value of lambda for which the image of the point (lambda,lambda-1) by the line mirror 3x+y=6 lambda is the point (lambda^(2)+1,lambda) If so find lambda_(.)

Find the range of lambda for which equation x^(3)+x^(2)-x-1-lambda=0 has 3 real solution.

Find the value of lambda for which the plane x+y+z=sqrt(3)lambda touches the sphere x^2+y^2+z^2-2x-2y-2z=6.

Find the real values of lambda for which the following system of linear equations has non- trivial solutions.Also,find the non-trivial solutions.2 lambda x-2y+3z=0x+lambda y+2z=02x+lambda z=0

Find the values of lambda for which 3-lambda,-1,1-1,5-lambda,-11,-1,3-lambda]|=0