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 "______."

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

For the variable t, the locus of the points of intersection of lines x-2y=t and x+2y=(1)/(t) is

For the variable t, the locus of the points of intersection of lines x-2y=t and x+2y=(1)/(t) is

For the variable t , the locus of the points of intersection of lines x - 2y = t and x + 2y = (1)/(t) is _

The tangent at any point on the curve x=acos^3theta,y=asin^3theta meets the axes in Pa n dQ . Prove that the locus of the midpoint of P Q is a circle.

The tangent at any point on the curve x=acos^3theta,y=asin^3theta meets the axes in Pa n dQ . Prove that the locus of the midpoint of P Q is a circle.

The tangent at any point on the curve x=acos^3theta,y=asin^3theta meets the axes in Pa n dQ . Prove that the locus of the midpoint of P Q is a circle.

The tangent at any point on the curve x=acos^3theta,y=asin^3theta meets the axes in Pa n dQ . Prove that the locus of the midpoint of P Q is a circle.