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1

### IIT-JEE 1990

In a triangle $$ABC$$, angle $$A$$ is greater than angle $$B$$. If the measures of angles $$A$$ and $$B$$ satify the equation $$3{\mathop{\rm sinx}\nolimits} - 4si{n^3}x - k = 0,$$ $$0 < k < 1$$, then the measure of angle $$C$$ is
A
$${\pi \over 3}$$
B
$${\pi \over 2}$$
C
$${2\pi \over 3}$$
D
$${5\pi \over 6}$$
2

### IIT-JEE 1983

From the top of a light-house 60 metres high with its base at the sea-level, the angle of depression of a boat is $${15^ \circ }$$. The distance of the boat from the foot of the light house is
A
$$\left( {{{\sqrt 3 - 1} \over {\sqrt 3 + 1}}} \right)60$$ metres
B
$$\left( {{{\sqrt 3 + 1} \over {\sqrt 3 - 1}}} \right)60$$ metres
C
$${\left( {{{\sqrt 3 + 1} \over {\sqrt 3 - 1}}} \right)^2}$$ metres
D
none of these
3

### IIT-JEE 1979

If the bisector of the angle $$P$$ of a triangle $$PQR$$ meets $$QR$$ in $$S$$, then
A
$$QS=SR$$
B
$$QS:SR$$ $$= PR:PQ$$
C
$$QS:SR=PQ:PR$$
D
None of these

### Joint Entrance Examination

JEE Main JEE Advanced WB JEE

### Graduate Aptitude Test in Engineering

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NEET

Class 12