The chord of constant of tangents from P(h,k) is `(hx)/(a^(2))+(ky)/(b^(2))=1`
It meetts the axes at the points `A((a^(2))/(h),0)andB (0,(b^(2))/(k))`
Area of the triangle , OAB is
`(1)/(2)*(a^(2))/(h)*(b^(2))/(k)=c` (constant)
`rArr hk=(a^(2)b^(2))/(2c)` (constant)
`rArr xy=(a^(2)b^(2))/(2c)`
This is the rquired equation of locus.