Question
Solve the quadratic equations and determine the relation
between x and y: Equation 1: x² - 20x + 96 = 0 Equation 2: y² - 18y + 72 = 0Solution
From Equation 1: x² - 20x + 96 = 0 Factorizing: (x - 12)(x - 8) = 0 So, x = 12 or x = 8. From Equation 2: y² - 18y + 72 = 0 Factorizing: (y - 12)(y - 6) = 0 So, y = 12 or y = 6. Comparing x and y: x = 12, y = 12 → x = y x = 12, y = 6 → x > y x = 8, y = 12 → x < y x = 8, y = 6 → x > y Correct option: E) x = y or no relation
The difference between compound interest and simple interest on a sum of Rs 8,000 for 2 years at the same rate is Rs 20. Find the rate of interest per a...
A certain sum of money becomes 4500 in 6 years and Rs. 5500 in 10 years at any certain rate of simple interest. Find the principal amount.
Aman invested ₹2,00,000 at an annual compound interest rate of ___%, with interest compounded every 4 months. If the investment was held for a total d...
Ankit invested a total of Rs. 63,000 between two SIPs: 'P', offering 10% compound interest compounded annually, and 'Q', offering 12% simple interest pe...
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....
M invested Rs. 27,000 in two Mutual Funds, 'Axis Funds' and 'ICICI Funds,' for 5 years and 2 years, respectively. 'Axis Funds' provide simple interest a...
An equal sum of money is invested in two schemes which offer interest at the same rate but one at simple interest and the other at compound interest (co...
Vishal has certain sum of money with him. He invested 80% of the sum in scheme ‘X’ offering 15% p.a. simple interest for 8 years and received Rs. 26...
A took a loan of Rs.4880 at simple interest of 25% p.a. and invested the same money in a scheme at simple interest of 35% p.a. Find the profit earned by...
Rama and Dipak each invested a sum of ₹8000 for a period of two years at 15% compound interest per annum. However, while for Rama the interest was com...
Relevant for Exams:
