The point P in the first quadrant of the ellipse `x^2//8 +y^2//18 =1` so that the area of the triangle formed by the tangent at P and the coordinate axes is least

the co-ordinates of the point P(x,y) lying in the first quadrant on the ellipse (x^(2))/(8)+(y^(2))/(18)=1 so that area of the triangle formed by the tangent at P and the co- ordinate axes is the smallest,are given by

The area of a triangle formed by a tangent to the curve 2xy =a^(2) and the coordinate axes, is

The minimum area of triangle formed by the tangent to the x^2/a^2+y^2/b^2=1 & coordinates axes is

The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+(y^2)/(b^2)=1 and the coordinate axes is

Find the equation of the common tangent in the first quadrant of the circle x^2+y^2=16 and the ellipse x^2/25+y^2/4=1 .Also find the length of the intercept of the tangent between the coordinates axes.

Find the equation of the common tangent in the first quadrant of the circle x^2+y^2=16 and the ellipse x^2/25+y^2/4=1 .Also find the length of the intercept of the tangent between the coordinates axes.

Find the equation of the common tangent in the first quadrant of the circle x^2+y^2=16 and the ellipse x^2/25+y^2/4=1 .Also find the length of the intercept of the tangent between the coordinates axes.

Find the equation of the common tangent in the first quadrant of the circle x^2+y^2=16 and the ellipse x^2/25+y^2/4=1 .Also find the length of the intercept of the tangent between the coordinates axes.

The point in the first quadrant of the ellipse (x^2)/(25)+(y^2)/(144)=1 at which the tangent makes equal angles with the axes (a,b) then a+b=?