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

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

Find the range of values of m for which the line y=m x+2 cuts the circle x^2+y^2=1 at distinct or coincident points.

Find the area of the figure bounded by the parabolas x=-2y^2, x=1-3y^2dot

Statement 1: The value of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1)dot Statement 2: The parabola y=x^2 meets the line x+y=2 at (0,1)dot

The value of lambda for which the lines 3x+4y=5, 5x+4y=4 and lambdax+4y=6 meet at a point is

The area of the circle x^(2) + y^(2) = 16 exterior to the parabola y^(2) = 6x is

Find the range of parameter a for which a unique circle will pass through the points of intersection of the hyperbola x^2-y^2=a^2 and the parabola y=x^2dot Also, find the equation of the circle.

Find the range of parameter a for which a unique circle will pass through the points of intersection of the hyperbola x^2-y^2=a^2 and the parabola y=x^2dot Also, find the equation of the circle.

The value of lambda for which the lines 3x + 4y=5, 2x+3y=4 and lambda x+4y=6 meet at a point is