If the quadratic equation ax2+bx+c=0(a>0) has sec2⁡ θand cosec2⁡ θas its roots, then which of the following must hold good?

sec2 ⁡θ+cosec2⁡ θ=sec2⁡ θ⋅cosec2⁡ θSum of the roots is equal to their product and the roots are real. Hence,−ba=caor    b+c=0Also,  b2−4ac≥0or   c2−4ac≥0or   c(c−4a)≥0or   c−4a≥0                    (∵c>0) Further  b2+4ab≥0 or    b+4a≤0               (∵b<0)