Question
(I) 10x2 - 7x + 1 = 0 (II) 35y2 -
12y + 1 =0 In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer if;Solution
1. 10x2 - 7x + 1 = 0 or 10x2 - 5x - 2x + 1 = 0 (2x - 1) (5x - 1) = 0 or x = 1/2 , 1/5 2. 35y2 -12 y + 1 = 0 or 35y2 -7 y - 5y+ 1 = 0 (5y - 1)(7y – 1) = 0, or y =1/5 , 1/7 Hence, x ≥ y
If 15 men can complete a work in 24 days, how many days will it take 10 men to complete the same work?
Pawan and Bhanu started a business with their investments in the ratio 5:7. After 6 months, Raju joined the business with an inve...
In how many ways can 4 distinct books be distributed into 2 identical boxes such that no box is empty?
A trader marks the price of a product at ₹800 and allows a discount of 15%. If the trader also pays a tax of 5% on the discounted price, what is the t...
If a person invests ₹50,000 in a scheme offering a compound interest of 5% per annum, calculate the total amount he will have after 3 years. Assume th...
If 75% of income of ‘Akshat’ is equal to 60% of income of ‘Bhaskar’, then find the income of ‘A’ is how much percentage of income of ‘Bhas...
A right square pyramid has a base of side 10 cm and slant height 13 cm.
(a) Find its lateral surface area.
(b) If its vertical height is 1...
A complex number z lies on or within a circle centered at (2, 0) with radius 5 units. What is the maximum value of |z – 2|?
A sum of Rs. 'Y' was invested for 7(1/4) years at simple interest of 8(2/5)% p.a. such that the simple interest received was Rs. 5,115.60. Find the si...
Three boxes B1, B2, B3 contain red and green balls in the ratio 1:1, 3:5, and 5:3 respectively. A box is selected at random and a ball is drawn. What is...