1
IIT-JEE 1983
Subjective
+2
-0
Find all the solution of $$4$$ $${\cos ^2}x\sin x - 2{\sin ^2}x = 3\sin x$$
2
IIT-JEE 1983
MCQ (Single Correct Answer)
+1
-0.25
If $$a+b+c=0$$, then the quadratic equation $$3a{x^2} + 2bx + c = 0$$ has
A
at least one root in $$\left[ {0,1} \right]$$
B
one root in $$\left[ {2,3} \right]$$ and the other in $$\left[ {-2,-1} \right]$$
C
imaginary roots
D
none of these
3
IIT-JEE 1983
MCQ (Single Correct Answer)
+1
-0.25
The value of $$\tan \left[ {{{\cos }^{ - 1}}\left( {{4 \over 5}} \right) + {{\tan }^{ - 1}}\left( {{2 \over 3}} \right)} \right]$$ is
A
$${{6 \over 17}}$$
B
$${{7 \over 16}}$$
C
$${{16 \over 7}}$$
D
none
4
IIT-JEE 1983
MCQ (Single Correct Answer)
+1
-0.25
The points z1, z2, z3, z4 in the complex plane are the vertices of a parallelogram taken in order if and only if
A
z1 + z4 = z2 + z3
B
z1 + z3 = z2 + z4
C
z1 + z2 = z3 + z4
D
None of these

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