The equation of the common tangent touching the circle `(x-3)^2+y^2=9` and the parabola `y^2=4x` above the x-axis is `sqrt(3)y=3x+1` (b) `sqrt(3)y=-(x+3)` `sqrt(2)y=x+3` (d) `sqrt(3)y=-(3x-1)`

The equation of the common tangent touching the circle (x-3)^(2)+y^(2)=0 and the parabola y^(2)=4x above he x-axis is

The equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 and the parabola y^(2)=4x below the x-axis is

The equation of the common tangents to the circle (x-3)^(2)+y^(2)=9 and the parabola y^(2)=4x the x-axis, is

The equation of the common tangent touching the parabola y^2 = 4x and the circle ( x - 3)^2 +y^2 = 9 above the x-axis is

The equation of the common tangent with positive slope to the parabola y^(2)=8sqrt(3)x and hyperbola 4x^(2)-y^(2)=4 is

The equation of the tangents to the ellipse 4x^2 + 3y^2 = 5 , which are inclined at 60^0 to the X-axis are : (A) y = x/sqrt(3) +- sqrt(65/12) (B) y = sqrt(3) +- sqrt(65/12) (C) y = sqrt(3)x +- sqrt(12/65) (D) none of these

The equation of the common tangent to parabola y^(2)=4x and x^(=)4y is x+y+(k)/(sqrt(3))=0, then k is equal to

Evaluate : ( sqrt(2)x + sqrt(3)y ) ( sqrt(2)x + sqrt(3)y )

The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is (A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))