Advertisements
Advertisements
Question
If * is an operation such that for integers a and b we have a * b = a × b + (a × a + b × b) then find (–3) * (–5)
Advertisements
Solution
We have, a * b = a × b + (a × a + b × b)
Now, put a = (–3) and b = (–5)
(–3) * (–5) = (–3) × (–5) + [(–3) × (–3) + (–5) × (–5)]
= 15 + (9 + 25)
= 15 + 34
= 49
APPEARS IN
RELATED QUESTIONS
Find the product, using suitable properties:
8 × 53 × (−125)
Find the product, using suitable properties:
(− 17) × (− 29)
Find the product, using suitable properties:
(− 57) × (− 19) + 57
A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (− 2) marks are awarded for every incorrect answer and 0 for questions not attempted.
Mohan gets four correct and six incorrect answers. What is his score?
Find the following products: (– 20) × (– 2) × (– 5) × 7
Find the following products: (– 1) × (– 5) × (– 4) × (– 6)
Find (– 23) × 48
If * is an operation such that for integers a and b we have a * b = a × b + (a × a + b × b) then find (–6) * 2
The given table shows the freezing points in °F of different gases at sea level. Convert each of these into °C to the nearest integral value using the relation and complete the table,
`C = 5/9 (F - 32)`
| Gas | Freezing Point at Sea Level (°F) |
Freezing Point at Sea Level (°C) |
| Hydrogen | –435 | |
| Krypton | –251 | |
| Oxygen | –369 | |
| Helium | –458 | |
| Argon | –309 |
