$∫\frac {xdx}{(x-1)(x-2)}\ equals$

$log|\frac {(x-2)^2}{x-1}|+C$

$$∫\frac {xdx}{(x-1)(x-2)}\ equals$$}

$log|\frac {(x-2)^2}{x-1}|+C$

$log|\frac {(x-1)^2}{x-2}|+C$

$log|\frac {(x-2)^2}{x-1}|+C$

$log|(\frac {x-1}{x-2})^2|+C$

∫xdx/(x-1)(x-2)equals

Madhavan, Chatterjee and Pillai were partners in a firm sharing profits and losses in the ratio of 2 : 1 : 2. On 31stMarch, 2024, their Balance Sheet was as follows :

Balance Sheet of Madhavan, Chatterjee and Pillai as at 31^st March, 2024

Liabilities	Amount (₹)	Assets	Amount (₹)
Creditors	1,10,000	Cash at Bank	4,05,000
Outstanding Expenses	17,000	Stock	2,20,000
Mrs. Madhavan’s Loan	2,00,000	Debtors	95,000
Chatterjee’s Loan	1,70,000	Less: Provision for Doubtful Debts	(5,000)
Capitals:	Madhavan – 2,00,000	Land and Building	1,82,000
	Chatterjee – 1,00,000	Plant and Machinery	1,00,000
	Pillai – 2,00,000
Total	9,97,000	Total	9,97,000

On the above date, the firm was dissolved and the following transactions took place :
Debtors were taken over by the creditors in full settlement of their claim.
Madhavan agreed to pay Mrs. Madhavan’s loan.
50% of the stock was taken over by Chatterjee at 10% less than the book value. The remaining stock was sold at a profit of 20%.
Land and Building was taken over by Pillai for $₹1,00,000$ and Plant and Machinery was sold as scrap for $₹20,000$.
Realisation expenses $₹17,000$ were paid by cheque.
Prepare Realisation Account.

CBSE CLASS XII - 2025
Dissolution of Partnership Firms

View Solution

Let $ \vec{a} $ and $ \vec{b} $ be two co-initial vectors forming adjacent sides of a parallelogram such that:
\[ |\vec{a}| = 10, \quad |\vec{b}| = 2, \quad \vec{a} \cdot \vec{b} = 12 \] Find the area of the parallelogram.

View Solution

Consider three metal spherical shells A, B, and C, each of radius $ R $. Each shell has a concentric metal ball of radius $ R/10 $. The spherical shells A, B, and C are given charges $ +6q, -4q, $ and $ 14q $ respectively. Their inner metal balls are also given charges $ -2q, +8q, $ and $ -10q $ respectively. Compare the magnitude of the electric fields due to shells A, B, and C at a distance $ 3R $ from their centers.