Day 219: MHT-CET Maths

5 questions. Try each one first, then open its answer.

Question 1
Differential Equations. Asked once: 13 Apr 2026 S1 (same type asked 4 times) See all 4 of this type
85 $A spherical balloon expands at a rate proportional to its surface area. Initially its radius is 2 cm and 5 minutes later it increases upto 7 cm, then surface area of spherical balloon after 12 minutes will be$
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Question 2
Indefinite Integration. Asked once: 26 Apr 2025 S1 (same type asked 4 times) See all 4 of this type
146 $\int\frac{dx}{x^{4}+ 5x^{2}+ 4}=A\tan^{- 1}x+B\tan^{- 1}\frac{x}{2}+c$
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Question 3
Limits. Asked once: 19 Apr 2025 S1 (same type asked 4 times) See all 4 of this type
108 $\underset{x\rightarrow 3}{\lim} \frac{(84 -x)^{\frac{1}{4}}- 3}{x- 3}$
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Question 4
Definite Integration. Asked once: 13 Apr 2026 S1 (same type asked 4 times) See all 4 of this type
80 $\displaystyle\int_0^a\dfrac{dx}{1 + 4x^2} = \dfrac{\pi}{8}$
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Question 5
Complex Numbers. Asked once: 10 May 2024 S2 (same type asked 4 times) See all 4 of this type
150 $\dfrac{1+i\sqrt{3}}{\sqrt{3}-i}$
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Question 1