If ∆ is an operation such that for integers a and b , we have a ∆ b = a × b - 2 × a × b + b × b ( - a ) × b + b × b then find ( - 7 ) ∆ ( - 1 )

Given: a ∆ b = a × b - 2 × a × b + b × b ( - a ) × b + b × b To find: - 7 ∆ - 1 - 7 ∆ - 1 = - 7 × - 1 - 2 × - 7 × - 1 + - 1 × ( - 1 ) × ( - ( - 7 ) ) × - 1 + ( - 1 ) × ( - 1 ) - 7 ∆ - 1 = 7 - 14 + - 7 + 1 - 7 ∆ - 1 = - 13 Hence, the value of - 7 ∆ - 1 is - 13 .

E M B I B E

Step by Step Mathematics>Chapter 1 - Integers>HOTS QUESTIONS

Jagat Jitendra Matto Solutions for Chapter: Integers, Exercise 6: HOTS QUESTIONS

Author:Jagat Jitendra Matto

Jagat Jitendra Matto Mathematics Solutions for Exercise - Jagat Jitendra Matto Solutions for Chapter: Integers, Exercise 6: HOTS QUESTIONS

Attempt the practice questions on Chapter 1: Integers, Exercise 6: HOTS QUESTIONS with hints and solutions to strengthen your understanding. Step by Step Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Jagat Jitendra Matto Solutions for Chapter: Integers, Exercise 6: HOTS QUESTIONS with Hints & Solutions

EASY

7th CBSE

IMPORTANT

Step by Step Mathematics>Chapter 1 - Integers>HOTS QUESTIONS>Q 1

If $∆$ is an operation such that for integers $a$ and $b$ , we have

$a ∆ b = a \times b - 2 \times a \times b + b \times b (- a) \times b + b \times b$ then find $(- 7) ∆ (- 1)$

EASY

7th CBSE

IMPORTANT

Step by Step Mathematics>Chapter 1 - Integers>HOTS QUESTIONS>Q 2

A railway engine starts shunting wagons by first going $1000 m$ north of railway station. It reverses and travels $1250 m$ south and then it again moves $600 m$ north. Finally moving $800 m$ south, it comes to rest. How far is the engine from the station and in which direction?

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