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:
(− 41) × 102
Find the product, using suitable properties:
625 × (− 35) + (− 625) × 65
Find the product, using suitable properties:
7 × (50 − 2)
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?
Find the following product: (– 25) × 37 × 4
Find 52 × (– 8) + (–52) × 2
(–157) × (–19) + 157 = ______.
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 |
A green grocer had a profit of ₹ 47 on Monday, a loss of ₹ 12 on Tuesday and loss of ₹ 8 on Wednesday. Find his net profit or loss in 3 days.
If Δ is an operation such that for integers a and b we have a Δ b = a × b – 2 × a × b + b × b (–a) × b + b × b then find (–7) Δ (–1). Also show that (–7) Δ (–1) ≠ (–1) Δ (–7).
