1
JEE Advanced 2023 Paper 2 Online
Numerical
+3
-0
Change Language
Consider an obtuse angled triangle $A B C$ in which the difference between the largest and the smallest angle is $\frac{\pi}{2}$ and whose sides are in arithmetic progression. Suppose that the vertices of this triangle lie on a circle of radius 1.
$$ \text { Let } a \text { be the area of the triangle } A B C \text {. Then the value of }(64 a)^2 \text { is } $$ :
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2
JEE Advanced 2023 Paper 2 Online
Numerical
+3
-0
Change Language
Consider an obtuse angled triangle $A B C$ in which the difference between the largest and the smallest angle is $\frac{\pi}{2}$ and whose sides are in arithmetic progression. Suppose that the vertices of this triangle lie on a circle of radius 1.
$$ \text { Then the inradius of the triangle } A B C \text { is } $$ :
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3
JEE Advanced 2021 Paper 1 Online
Numerical
+4
-0
Change Language
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 _________.
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4
JEE Advanced 2020 Paper 1 Offline
Numerical
+4
-0
Change Language
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 ......
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