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Straight Lines

Telangana Open School (TOSS) · Class 12 · Mathematics

Flashcards for Straight Lines — Telangana Open School (TOSS) Class 12 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

51 questions25 flashcards5 concepts

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25 Flashcards
Card 1Lines Parallel to Axes

Find the equation of a line parallel to the x-axis passing through (2, 5).

Answer

A line parallel to the x-axis has constant y-value. Since it passes through (2, 5), y = 5. Answer: y = 5…

Card 2Lines Parallel to Axes

Find the equation of a line parallel to the y-axis passing through (-3, 4).

Answer

A line parallel to the y-axis has constant x-value. Since it passes through (-3, 4), x = -3. Answer: x = -3…

Card 3Slope-Intercept Form

Find the equation of a line with slope 3 and y-intercept -2.

Answer

Use slope-intercept form: y = mx + c Here, m = 3, c = -2 So, y = 3x - 2 Answer: y = 3x - 2…

Card 4Slope-Intercept Form

Convert the equation 4x + 2y = 8 into slope-intercept form and find slope and y-intercept.

Answer

Step 1: Solve for y → 2y = -4x + 8 Step 2: Divide by 2 → y = -2x + 4 Compare with y = mx + c So, slope (m) = -2, y-intercept (c) = 4 Answer: y = -2x + 4; slope = -2, y-intercept = 4…

Card 5Point-Slope Form

Find the equation of a line passing through (1, -2) with slope 4.

Answer

Use point-slope form: y - y₁ = m(x - x₁) Here, (x₁, y₁) = (1, -2), m = 4 So, y - (-2) = 4(x - 1) → y + 2 = 4x - 4 → y = 4x - 6 Answer: y = 4x - 6…

Card 6Two-Point Form

Find the equation of a line passing through (2, 3) and (4, 7).

Answer

Step 1: Find slope m = (y₂ - y₁)/(x₂ - x₁) = (7 - 3)/(4 - 2) = 4/2 = 2 Step 2: Use point-slope form with (2, 3): y - 3 = 2(x - 2) → y - 3 = 2x - 4 → y = 2x - 1 Answer: y = 2x - 1…

Card 7Intercept Form

Find the equation of a line with x-intercept 3 and y-intercept -4.

Answer

Use intercept form: x/a + y/b = 1 Here, a = 3, b = -4 So, x/3 + y/(-4) = 1 Multiply both sides by 12: 4x - 3y = 12 Answer: 4x - 3y = 12…

Card 8Intercept Form

Find the x and y intercepts of the line 2x - 3y = 6.

Answer

For x-intercept, set y = 0 → 2x = 6 → x = 3 For y-intercept, set x = 0 → -3y = 6 → y = -2 Answer: x-intercept = 3, y-intercept = -2…

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Frequently Asked Questions

What are the important topics in Straight Lines for Telangana Open School (TOSS) Class 12 Mathematics?
Straight Lines covers several key topics that are frequently asked in Telangana Open School (TOSS) Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Straight Lines — Telangana Open School (TOSS) Class 12 Mathematics?
Understand the core concepts first, then work through the 51 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Straight Lines?
There are 25 flashcards for Straight Lines covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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