CAT Exam

There are how many different integral angled acute triangles are possible.
option
a. 45
b. 1980
c. 675
d. 179c2 - 3*89c2
e. NoT

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CAT Other Question

There are how many integral solution pairs are possible for

(3x^2 + y^2 - 4y - 17)^3 - (2x^2 + 2y^2 - 4y - 6)^3 = (x^2 - y^2 - 11)^3

a. 6
b. 8
c.10
d.12
e. None of These
The no of pairs (x,y) satisfy the equation sinx + siny = sin(x+y) and |x|+|y|=1 is
option
a) 2
b) 6
c) 4
d) infinite