Question
If 2x = cosec @ and 4/x = cot @ then the value of 2(x ²
- 1/x ² ) isSolution
2x = cosec@ .............(i) 2/x = cot @ ...............(ii) adding (i) and (ii), we get 2 (x + 1/x) = cosec @ + cot @ ...........(iii) subtracting (ii) from (i), we get 2 (x - 1/x) = cosec @ - cot @ ..............(iv) Multiply (iii) and (iv), we get 4 (x 2  - 1/x2) = cosec2  @ - cot 2  @ 2(x2  - 1/x2  ) = 1/2Â
Rohit invested Rs. ‘x’ and Rs. ‘y’ in Scheme A and Scheme B respectively. He invested in Scheme A for 5 years at a simple interest rate of 6% p....
Rs. 10000 when invested at simple interest of r% p.a. amounts to Rs. 12000 in 24 months. If the same sum had been invested for 1 year at compound intere...
Mr. P invested Rs. ‘10x’ in scheme ‘A’ offering simple interest of 20% p.a. and reinvested the interest earned from scheme ‘A’ at the end of...
A sum of money amounts to Rs 9,200 in 3 years at 5% simple interest per annum. Find the interest earned .
A certain sum of money amounts to Rs 1331 in 3 years at 10 percent compounded annually. Find the value of (CI-SI)?
A certain sum when invested for 3 years in a scheme offering simple interest of 12% p.a. gives an interest of Rs. 990. What is 120% of the sum invested?
A person invested Rs. 7500 at a simple interest rate of 12% per annum, and also invested Rs. 8000 at a compound interest rate of 15% per annum, compound...
Find the compound Interest on Rs. 8,000 @15 % p.a for 2 years 4 month Compounded annually?
The interest earned when a sum is invested at simple interest of 5% p.a., for 3 years, is Rs. 5280. What will be the total amount received after 2 years...
- A sum becomes Rs. 13,650 in 5 years at r% p.a. of simple interest. If the rate was (r + 3)% per annum, the same sum would grow to Rs. 14,700 in the same ti...
