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MAH CET MCA Previous Year Questions (PYQs)

MAH CET MCA Properties Of Triangle PYQ

MAH CET MCA PYQ
In the triangle $ABC$, sides $AB$, $BC$, and $CA$ are extended such that $B'$, $C'$, and $A'$ are the new points formed. If the area of $\triangle ABC = 1$ unit and $AA' = 2AB,\ BB' = 2BC,\ CC' = 3AC$, then find the area of $\triangle A'B'C'$.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

Solution

Each side is scaled by 2, 2, and 3 respectively; the area ratio depends on the product of scale factors. Hence, area $= 18$ times original.
MAH CET MCA PYQ
In $\triangle ABC$, sides are $a=9$, $b=7$, $c=12$. Find angle $C$ (opposite side $c$) using the Law of Cosines.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

$\cos C=\dfrac{a^2+b^2-c^2}{2ab}=\dfrac{81+49-144}{2\cdot9\cdot7}=\dfrac{-14}{126}=-\dfrac{1}{9}$. $C=\cos^{-1}\left(-\dfrac{1}{9}\right)\approx97.57^\circ$.

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