IIT-JEE Exam

Which of the following pieces of data does not uniquely determine an acute angled triangle ABC(R=circumradius)?
(a). a,sinA,sinB
(b). a,b,c
(c). a,sinB,R
(d). a,sinA,R

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IIT-JEE Other Question

Consider an infinite geometric series with the first term a and common ratio r. If its sum is 4 and the second term is 3/4 then (a,r) has the value,
(a). (7/4,3/7)
(b). (2,3/8)
(c). (3/2,1/2)
(d). (3,1/4)
For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5,the minimum value of |z1-z2| is,
(a). 0
(b). 2
(c). 7
(d). 17