1
JEE Advanced 2021 Paper 1 Online
Numerical
+4
-0 In a triangle ABC, let AB = $$\sqrt {23}$$, BC = 3 and CA = 4. Then the value of $${{\cot A + \cot C} \over {\cot B}}$$ is _________.
2
JEE Advanced 2020 Paper 1 Offline
Numerical
+4
-0 In a triangle PQR, let a = QR, b = RP, and c = PQ. If |a| = 3, |b| = 4

and $${{a\,.(\,c - \,b)} \over {c\,.\,(a - \,b)}} = {{|a|} \over {|a| + |b|}}$$, then the value of |a $$\times$$ b|2 is ......
3
IIT-JEE 2010 Paper 2 Offline
Numerical
+4
-0
Consider a triangle $$ABC$$ and let $$a, b$$ and $$c$$ denote the lengths of the sides opposit to vertices $$A, B$$ and $$C$$ respectively. Suppose $$a = 6,b = 10$$ and the area of the triangle is $$15\sqrt 3$$, if $$\angle ACB$$ is obtuse and if $$r$$ denotes the radius of the incircle of the triangle, then $${{r_2}}$$ is equal to
4
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1

Let ABC and ABC' be two non-congruent triangles with sides AB = 4, AC = AC' = 2$$\sqrt2$$ and angle B = 30$$^\circ$$. The absolute value of the difference between the areas of these triangles is ___________.

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