WB JEE 2010 | Properties of Triangle Question 6 | Mathematics

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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 2023

MCQ (Single Correct Answer)

-0.25

ABC is an isosceles triangle with an inscribed circle with centre O. Let P be the midpoint of BC. If AB = AC = 15 and BC = 10, then OP equals

$${{\sqrt 5 } \over {\sqrt 2 }}$$ unit

$${5 \over {\sqrt 2 }}$$ unit

$$2\sqrt 5 $$ unit

$$5\sqrt 2 $$ unit

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

The three sides of a right angled triangle are in GP (geometric progression). If the two acute angles be $$\alpha$$ and $$\beta$$, then tan$$\alpha$$ and tan$$\beta$$ are

$${{\sqrt 5 + 1} \over 2}$$ and $${{\sqrt 5 - 1} \over 2}$$

$$\sqrt {{{\sqrt 5 + 1} \over 2}} $$ and $$\sqrt {{{\sqrt 5 - 1} \over 2}} $$

$${\sqrt 5 }$$ and $${1 \over {\sqrt 5 }}$$

$${{\sqrt 5 } \over 2}$$ and $${2 \over {\sqrt 5 }}$$

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