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Important Questions

Graphical Solution

ICSE · Class 9 · Mathematics

Most important questions from Graphical Solution for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

37 questions30 flashcards5 concepts

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A flowchart illustrating the step-by-step process of drawing the graph of a linear equation in two variables (ax + by + c = 0).
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37 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following points lie on the line y = 2x + 1? (Select all correct answers)

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(0, 1), (1, 3), (2, 5), (-1, -1)

Substitute each point into y = 2x + 1: (0,1): 1 = 2(0) + 1 = 1 ✓; (1,3): 3 = 2(1) + 1 = 3 ✓; (2,5): 5 = 2(2) + 1 = 5 ✓; (3,6): 6 = 2(3) + 1 = 7 ✗; (-1,-1): -1 = 2(-1) + 1 = -1 ✓

2multiple correct

Which of the following are characteristics of the line x + y = 0? (Select all correct answers)

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Passes through origin, Has slope -1, x-intercept is 0, Passes through (1, -1)

Rewriting x + y = 0 as y = -x: passes through (0,0), slope is -1, both intercepts are 0, and point (1,-1) satisfies the equation: 1 + (-1) = 0 ✓

3multiple choice

A line passes through points (0, 2) and (3, 8). What is its equation?

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y = 2x + 2

Slope m = (8-2)/(3-0) = 6/3 = 2. Using point-slope form with (0,2): y - 2 = 2(x - 0), so y = 2x + 2.

4multiple choice

What is the solution to the system: 3x + y = 7 and x - y = 1?

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x = 2, y = 1

Adding the equations: (3x + y) + (x - y) = 7 + 1, gives 4x = 8, so x = 2. Substituting in x - y = 1: 2 - y = 1, so y = 1.

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Frequently Asked Questions

What are the important topics in Graphical Solution for ICSE Class 9 Mathematics?
Graphical Solution covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Graphical Solution — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 37 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Graphical Solution?
There are 37 practice questions available for Graphical Solution. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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