IIT-JEE 1990 | Properties of Triangle Question 51 | Mathematics

IIT-JEE 1990

MCQ (Single Correct Answer)

-0.5

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

$${\pi \over 3}$$

$${\pi \over 2}$$

$${2\pi \over 3}$$

$${5\pi \over 6}$$

IIT-JEE 1983

MCQ (Single Correct Answer)

-0.25

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

$$\left( {{{\sqrt 3 - 1} \over {\sqrt 3 + 1}}} \right)60$$ metres

$$\left( {{{\sqrt 3 + 1} \over {\sqrt 3 - 1}}} \right)60$$ metres

$${\left( {{{\sqrt 3 + 1} \over {\sqrt 3 - 1}}} \right)^2}$$ metres

none of these

IIT-JEE 1979

MCQ (Single Correct Answer)

-0.25

If the bisector of the angle $$P$$ of a triangle $$PQR$$ meets $$QR$$ in $$S$$, then

$$QS=SR$$

$$QS:SR$$ $$= PR:PQ$$

$$QS:SR=PQ:PR$$

None of these

JEE Advanced Subjects