(a) Eliminat `theta` between the equation:
(i)`x=h+acostheta,y=k+b"sin"theta`
(ii)`x=a costheta+b"sin"theta,y=a "sin"theta-b costheta`
(iii)`x=a sec theta, y=b tan theta`
(b) Eliminate A between the equation:
(i)`sec A +"tan" A=m, secA-"tan"A=n`
(ii)`acosecA+bcotA=x^(2),bcosecA+acotA=y^2`
(iii)`psecA+q"tan"A=x,p"tan"A+q sec A=y`.

Answer

(a)(i)`((x-h)/(a))^(2)+((y-k)/(b))^(2)=1`
(ii) `x^(2)+y^(2)=a^(2)+b^(2)`
(iii) `((x)/(a))^(2) -((y)/(b))^(2)` =1
(b) (i) mn=1 (ii) `a^(2) -b^(2)=x^(4)-y^(2)`
(iii) `p^(2)-q^(2)=x^(2)-y^(2)`.