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QJEE MAIN 2019
In a triangle, the sum of lengths of two sides is $x$ and the product of the lengths of the same two sides is $y$....
JEE MainMathematicsMedium
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QJEE MAIN 2019
The angles $A, B$ and $C$ of a triangle $A B C$ are in A.P. and $a: b=1: \sqrt{3}$. If $c=4 \mathrm{~cm}$, then the area...
JEE MainMathematicsEasy
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QJEE Main 2019
If $5,5 r, 5 r^2$ are the lengths of the sides of a triangle, then $r$ cannot be equal to :
JEE MainMathematicsEasy
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QJEE MAIN 2019
Given $\frac{b+c}{11}=\frac{c+a}{12}=\frac{a+b}{13}$ for $\triangle A B C$ with usual natation. If $\frac{\cos A}{\alpha}=\frac{\cos B}{\beta}=\frac{\cos C}{12}$, then the ordered triplet $(\alpha$, $\beta, \gamma$ ) has a...
JEE MainMathematicsMedium
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QJEE MAIN 2019
With the usual notation, in $\triangle A B C$, if $\angle A+\angle B=120^{\circ}, a=\sqrt{3}+1$ and $b=\sqrt{3}-1$, then the ratio $\angle A: \angle B$, is :
JEE MainMathematicsMedium
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QJEE MAIN 2019
If the lengths of the sides of a triangle are in A.P. and the greatest angle is double the smallest, then a ratio of lengths...
JEE MainMathematicsMedium
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QJEE MAIN 2021
If in a triangle $A B C, A B=5$ units, $\angle B=\cos ^{-1}\left(\frac{3}{5}\right)$ and radius of circumcircle of $\triangle A B C$ is 5 units,...
JEE MainMathematicsMedium
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QJEE MAIN 2021
A pole stands vertically inside a triangular park $A B C$. Let the angle of elevation of the top of the pole from each corner...
JEE MainMathematicsEasy
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QJEE MAIN 2021
Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight...
JEE MainMathematicsEasy
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QJEE MAIN 2021
Let in a right angled triangle, the smallest angle be $\theta$. If a triangle formed by taking the reciprocal of its sides is also a...
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