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Class 10 Maths Test Paper | Chapter: Quadratic Equations (द्विघात समीकरण)
Quadratic Equations – Test Paper
Section A: Very Short Answer Questions (2 Marks Each)
Q1. Find the nature of the roots of the quadratic equation \(x^2 - 6x + 10 = 0\).
द्विघात समीकरण \(x^2 - 6x + 10 = 0\) के मूलों की प्रकृति ज्ञात कीजिए।
Q2. Find the discriminant of the quadratic equation \(2x^2 - 3x + 5 = 0\).
द्विघात समीकरण \(2x^2 - 3x + 5 = 0\) का विवर्तक (Discriminant) ज्ञात कीजिए।
Q3. Solve the quadratic equation by factorisation: \(x^2 - 7x + 10 = 0\).
गुणनखंड विधि द्वारा द्विघात समीकरण \(x^2 - 7x + 10 = 0\) को हल कीजिए।
Q4. Solve the quadratic equation using quadratic formula: \(3x^2 - 5x - 2 = 0\).
द्विघात सूत्र की सहायता से \(3x^2 - 5x - 2 = 0\) को हल कीजिए।
Q5. Find the roots of the quadratic equation \(x(x - 4) = 5\).
द्विघात समीकरण \(x(x - 4) = 5\) के मूल ज्ञात कीजिए।
Q6. Find a quadratic equation whose roots are \(2\) and \(-3\).
उस द्विघात समीकरण को ज्ञात कीजिए जिसके मूल \(2\) और \(-3\) हैं।
Q7. Find the sum of the roots of the quadratic equation \(5x^2 + 4x - 1 = 0\).
द्विघात समीकरण \(5x^2 + 4x - 1 = 0\) के मूलों का योग ज्ञात कीजिए।
Q8. If one root of the quadratic equation \(x^2 + kx + 4 = 0\) is \(-2\), find the value of \(k\).
यदि द्विघात समीकरण \(x^2 + kx + 4 = 0\) का एक मूल \(-2\) है, तो \(k\) का मान ज्ञात कीजिए।
Q9. Find the value of \(k\) for which the quadratic equation \(x^2 + kx + 9 = 0\) has equal roots.
उस \(k\) का मान ज्ञात कीजिए जिसके लिए द्विघात समीकरण \(x^2 + kx + 9 = 0\) के मूल समान हों।
Q10. Find a quadratic equation whose sum of roots is \(5\) and product of roots is \(6\).
उस द्विघात समीकरण को ज्ञात कीजिए जिसके मूलों का योग \(5\) तथा गुणनफल \(6\) है।
💡 Important Exam & Study Tips
- Master NCERT Fundamentals: Ensure thorough familiarity with standard textbook definitions, formulas, and in-text examples before solving advanced problems.
- Step-by-Step Presentation: In board examinations, neat presentation, correct formula application, and labeled steps earn maximum step-marking.
- Practice Under Timed Conditions: Regular practice with previous years' question papers (PYQs) builds exam speed and accuracy.
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❓ Frequently Asked Questions (FAQs)
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