The value of k for which the system of equations x+2y-3=0 and 5x+ky+7=0 has no solution, is (a) 10 (b) 60 (c) 3 (d) 1
Finding Value of k for No Solution Video Explanation Question Find the value of \(k\) for which the system of equations \(x + 2y – 3 = 0\) and \(5x + ky + 7 = 0\) has no solution. Solution Step 1: Identify Coefficients For equation (1): \(a_1 = 1,\; b_1 = 2,\; c_1 =
The value of k for which the system of equations 2x + 3y = 5, 4x + k y = 10 has infinite number of solutions, is (a) 1 (b) 3 (c) 6 (d) 0
Finding Value of k for Infinite Solutions Video Explanation Question Find the value of \(k\) for which the system of equations \(2x + 3y = 5\) and \(4x + ky = 10\) has infinitely many solutions. Solution Step 1: Write in Standard Form \[ 2x + 3y – 5 = 0 \] \[ 4x +
The value of k for which the system of equations kx-y=2 and 6x-2y = 3 has a unique solution is (a) = 3 (b) ≠ 3 (c) ≠ 0 (d) = 0
Finding Value of k for Unique Solution Video Explanation Question Find the value of \(k\) for which the system of equations \(kx – y = 2\) and \(6x – 2y = 3\) has a unique solution. Solution Step 1: Write in Standard Form \[ kx – y – 2 = 0 \] \[ 6x –
A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs. 22 for a book kept for six days, while Anand paid Rs. 16 for the book kept for four days. Find the fixed charges and the charge for each extra day.
Finding Fixed Charge and Extra Day Rent Video Explanation Question A shopkeeper charges a fixed amount for the first 2 days and an additional charge per day after that. Latika pays ₹22 for 6 days. Anand pays ₹16 for 4 days. Find the fixed charge and the charge per extra day. Solution Step 1: Let
In a competitive examination, one mark is awarded for each correct answer while 1/2 mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?
Finding Number of Correct Answers Video Explanation Question In a competitive examination: 1 mark is awarded for each correct answer and \( \frac{1}{2} \) mark is deducted for each wrong answer. Jayanti answered 120 questions and scored 90 marks. Find the number of correct answers. Solution Step 1: Let Variables Let number of correct answers
A shopkeeper sells a saree at 8% profit and a sweater at 10% discount, thereby, getting a sum Rs. 1008. If she had sold the saree at 10% profit and the sweater at 8% discount, she would have got Rs. 1028. Find the cost price of the saree and the list price (prince before discount) of the sweater.
Finding Cost Price and Marked Price Video Explanation Question A shopkeeper sells a saree at 8% profit and a sweater at 10% discount, getting ₹1008. If she sold the saree at 10% profit and the sweater at 8% discount, she would get ₹1028. Find the cost price of the saree and the list price of
One says, “give me hundred, friend! I shall then become twice as rich as you” The other replies, “If you give me ten, I shall be six times as rich as you.” Tell me what is the amount of their respective capital?
Finding Capital of Two Persons Video Explanation Question One person says: “Give me ₹100, I shall become twice as rich as you.” The other replies: “If you give me ₹10, I shall be six times as rich as you.” Find their respective capitals. Solution Step 1: Let Variables Let first person’s capital = \(x\) Let
The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row there would be 2 rows more. Find the number of students in the class.
Finding Number of Students in a Class Video Explanation Question Students are arranged in rows. If 3 students are extra in each row, there is 1 row less. If 3 students are less in each row, there are 2 rows more. Find the total number of students. Solution Step 1: Let Variables Let number of
A wizard having powers of mystic in candations and magical medicines seeing a cock, fight going on, spoke privately to both the owners of cocks. To one he said; if your bird wins, than you give me your stake-money, but if you do not win, I shall give you two third of that. Going to the other, he promised in the same way to give three fourths. From both of them his gain would be only 12 gold coins. Find the stake of money each of the cockowners have.
Finding Stake Money of Two Cock Owners Video Explanation Question A wizard makes offers to two cock owners. To one: if he wins, the wizard takes his stake; if he loses, the wizard pays \( \frac{2}{3} \) of the stake. To the other: if he wins, the wizard takes his stake; if he loses, the