=0 When x=0, 36y2+120y+C=0 Since, it neither touch the coordinate axis nor intersects. So, the roots of this equation must be imaginary. cc⇒D<0 ⇒1202−4.36C<D ⇒C>
120×120
4×36
C>100⋅⋅⋅⋅⋅⋅⋅(i) Similarly, when y=0,36x2−108x+C=0 1082−4.36C<0 ⇒C>81⋅⋅⋅⋅⋅⋅⋅(ii) From Eqs. (i) and (ii), ⇒C>100 and point of intersection of {