A curve is given by the equations `x = at^2` &`y=at^3` A variable pair of perpendicular lines throughthe origin 'O' meet the curve at P & Q. Show that the locus of the point of intersection of the tangents at P & Q is `4y^2=3ax-a^2`

A curve is defined parametrically be equations x=t^2a n dy=t^3 . A variable pair of perpendicular lines through the origin O meet the curve of Pa n dQ . If the locus of the point of intersection of the tangents at Pa n dQ is a y^2=b x-1, then the value of (a+b) is____

A curve is defined parametrically be equations x=t^2a n dy=t^3 . A variable pair of perpendicular lines through the origin O meet the curve of Pa n dQ . If the locus of the point of intersection of the tangents at Pa n dQ is a y^2=b x-1, then the value of (a+b) is____

A curve is defined parametrically be equations x=t^(2) and y=t^(3) .A variable pair of perpendicular lines through the origin O meet the curve of P and Q. If the locus of the point of intersection of the tangents at P and Q is ay^(2)=bx-1, then the value of (a+b) is

A curve is defined parametrically by the the equation x=t^(2) and y=t^(3). A variable pair of peerpendicular lines through the origin O meet the curve at P and Q. If the locus of the point of intersectin of the tangents at P and Q is ay^(2)=bx-1, then the value of (a+b) is "______."

if a variable tangent of the circle x^(2)+y^(2)=1 intersects the ellipse x^(2)+2y^(2)=4 at P and Q. then the locus of the points of intersection of the tangents at P and Q is

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the locus of the point of intersection of the perpendicular tangents of the curve y^(2)+4y-6x-2=0