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

If the tangent drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at any point P meets the coordinate axes at the points A and B respectively. If the rectangle OACB (O being the origin) is completed, where C lies on (x^2)/(a^2)-(y^2)/(b^2)=lambda . Then, the value of lambda 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 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 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.