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WB JEE

Properties of Triangle

Mathematics

Previous Years Questions

MCQ (Single Correct Answer)

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The angles of a triangle are in the ratio 2 : 3 : 7 and the radius of the circumscribed circle is 10 cm. The length of t...
WB JEE 2019
The three sides of a right angled triangle are in GP (geometric progression). If the two acute angles be $$\alpha$$ and ...
WB JEE 2019
If in a triangle ABC, sin A, sin B, sin C are in A.P., then
WB JEE 2011
In a $$\Delta$$ABC, $$2ac\sin \left( {{{A - B + C} \over 2}} \right)$$ is equal to
WB JEE 2010
If $${{\cos A} \over 3} = {{\cos B} \over 4} = {1 \over 5}, - {\pi \over 2} ...
WB JEE 2010
In a right-angled triangle, the sides are a, b and c, with c as hypotenuse, and c $$-$$ b $$\ne$$ 1, c + b $$\ne$$ 1. Th...
WB JEE 2010
In a triangle PQR, $$\angle$$R = $$\pi$$/2. If $$\tan \left( {{P \over 2}} \right)$$ and $$\tan \left( {{Q \over 2}} \ri...
WB JEE 2010
In triangle ABC, if $$\sin A\sin B = {{ab} \over {{c^2}}}$$, then the triangle is
WB JEE 2009
If a = 2$$\sqrt2$$, b = 6, A = 45$$^\circ$$, then
WB JEE 2009

Subjective

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If cos A + cos B + cos C = 0, prove that cos 3A + cos 3B + cos 3C = 12 cos A cos B cos C.
WB JEE 2011

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