Solve `x^(2)p^(2)+xpy-6y^(2)=0.`

Solve 6x^(2)-x-2=0 .

Solve 6x^(2)-x-2=0 .

Solve 2x^(2) + x - 6 = 0

The angle between the pair of tangents drawn from a point P to the circle x^(2)+y^(2)+4x-6y+9sin^(2)alpha+13cos^(2)alpha=0 is 2 alpha. then the equation of the locus of the point P is x^(2)+y^(2)+4x-6y+4=0x^(2)+y^(2)+4x-6y-9=0x^(2)+y^(2)+4x-6y-4=0x^(2)+y^(2)+4x-6y+9=0

The circle x^(2)+y^(2)-2x-6y+2=0 intersects the parabola y^(2)=8x orthogonally at the point P. The equation of the tangent to the parabola at P can be

If a point P is moving such that the lengths of tangents drawn from P to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 are the ratio 2:3, then find the equation to the locus of P.

If a point P is moving such that the lengths of tangents drawn from P to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 are the ratio 2:3, then find the equation to the locus of P.

If P_(1), P_(2), P_(3) are the perimeters of the three circles x^(2) + y^(2) + 8x - 6y = 0, 4x^(2) + 4y^(2) - 4x - 12y - 186 = 0 and x^(2) + y^(2) - 6x + 6y - 9 = 0 respectively, then