1.

(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.

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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)`.


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