Find the point of intersection of parabola `y=-3x^2+3` and hyperbola `y=-18/x`

Find the point of intersection of the line 5x+7y=3 and 2x-3y=7

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

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^(2). Also,find the equation of the circle.

The range of a for which a circle will pass through the points of intersection of the hyperbola x^(2)-y^(2)=a^(2) and the parabola y=x^(2) is (A)(-3,-2)(B)[-1,1] (C) (2,4)(D)(4,6)

find the equation of the hyperbola which passes through the points of intersection of the line x+y=5 and hyperbola 2x^(2)-3y^(2)-6=0 and is also passes through (3,4).

Find the point of intersection of the line, x/3 - y/4 = 0 and x/2 + y/3 = 1

Find the points of intersection of the line 2x+3y=18 and the cricle x^(2)+y^(2)=25 .

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is

At the point of intersection of the rectangular hyperbola xy=c^(2) and the parabola y^(2)=4ax tangents to the rectangular hyperbola and the parabola make angles theta and phi, respectively with x-axis,then