IIT-JEE 2002 Screening | Properties of Triangle Question 24 | Mathematics

IIT-JEE 2002 Screening

MCQ (Single Correct Answer)

-0.5

Which of the following pieces of data does NOT uniquely determine an acute-angled triangle $$ABC$$ ($$R$$ being the radius of the circumcircle)?

$$a,\,\sin \,A,sin\,B$$

$$a,b,c$$

$$a,\,\sin \,B,R$$

$$a,\,\sin \,A,R$$

IIT-JEE 2001 Screening

MCQ (Single Correct Answer)

-0.5

A man from the top of a $$100$$ metres high tower sees a car moving towards the tower at an angle of depression of $${30^ \circ }$$. After some time,the angle of depression becomes $${60^ \circ }$$. The distance (in metres) travelled by the car during this time is

$$100\sqrt 3 $$

$$200\sqrt 3 /3$$

$$100\sqrt 3 /3$$

$$200\sqrt 3 $$

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

In a triangle $$ABC$$, $$2ac\,\sin {1 \over 2}\left( {A - B + C} \right) = $$

$${a^2} + {b^2} - {c^2}$$

$${c^2} + {a^2} - {b^2}$$

$${b^2} - {c^2} - {a^2}$$

$${c^2} - {a^2} - {b^2}$$

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

In a triangle $$ABC$$, let $$\angle C = {\pi \over 2}$$. If $$r$$ is the inradius and $$R$$ is the circumradius of the triangle, then $$2(r+R)$$ is equal to

$$a+b$$

$$b+c$$

$$c+a$$

$$a+b+c$$

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