WB JEE 2010 | Properties of Triangle Question 5 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If $${{\cos A} \over 3} = {{\cos B} \over 4} = {1 \over 5}, - {\pi \over 2} < A < 0, - {\pi \over 2} < B < 0$$, then value of $$2\sin A + 4\sin B$$ is

$$-$$ 2

$$-$$ 4

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

In a $$\Delta$$ABC, $$2ac\sin \left( {{{A - B + C} \over 2}} \right)$$ is equal to

a² + b² $$-$$ c²

c² + a² $$-$$ b²

b² $$-$$ a² $$-$$ c²

c² $$-$$ a² $$-$$ b²

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If in a triangle ABC, sin A, sin B, sin C are in A.P., then

the altitudes are in A.P.

the altitudes are in H.P.

the angles are in A.P.

the angles are in H.P.

WB JEE 2012

MCQ (Single Correct Answer)

-0.67

Let p, q and r be the altitudes of a triangle with area S and perimeter 2t. Then, the value of $${1 \over p} + {1 \over q} + {1 \over r}$$ is

$${S \over t}$$

$${t \over S}$$

$${S \over {2t}}$$

$${{2S} \over t}$$

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