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If the conics whose equations are S1:(si...

If the conics whose equations are `S_1:(sin^2theta)x^2+(2htantheta)x y+(cos^2theta)y^2+32 x+16 y+19=0` `S_1:(sin^2theta)x^2-(2h^(prime)cottheta)x y+(sin^2theta)y^2+16 x+32 y+19=0` intersect at four concyclic points, where `theta[0,pi/2],` then the correct statement(s) can be `h+h^(prime)=0` (b) `h-h^(prime)=0` `theta=pi/4` (d) none of these

A

`h + h' =0`

B

`h-h'=0`

C

`theta= (pi)/(4)`

D

none of these

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