tangent drawn to the ellipse `x^2/a^2+y^2/b^2=1` at point `'P'` meets the coordinate axes at points `A` and `B` respectively.Locus of mid-point of segment `AB` is

A tangent to the ellipse x^2/a^2 +y^2/b^2 =1 touches at the point P on it in the first quadrant & meets the coordinate axes in A & B respectively. If P divides AB in the ratio 3 : 1 reckoning from the x-axis find the equation of the tangent.

If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordinate axes at the distinct points A and B, then the locus of the mid-point of AB is:

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct point P and Q. then the locus of the mid- point of PQ is

A tangent to the ellipse x^2 / a^2 + y^2 / b^2 = 1 touches at the point P on it in the first quadrant & meets the coordinate axes in A & B respectively. If P divides AB in the ratio 3: 1 reckoning from the x-axis find the equation of the tangent.

A tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is