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Class 10 Mathematics — Chapter 4: Quadratic Equations

67 practice questions · 23 Easy · 23 Medium · 21 Hard

Free NCERT-aligned multiple-choice practice for Class 10 Mathematics, Chapter 4 (Quadratic Equations). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 67.

Sample questions

Q1Easy

Which of the following is a quadratic equation?

A.x² + 2x − 3 = 0✓ correct
B.2x − 5 = 0
C.x³ − 1 = 0
D.x⁴ + 2 = 0
Why

A quadratic equation has the form ax² + bx + c = 0, with a ≠ 0. Only (a) fits.

Q2Medium

The sum of a number and its reciprocal is 10/3. The number is:

A.2 or 1/2
B.3 or 1/3✓ correct
C.5 or 1/5
D.4 or 1/4
Why

Let x + 1/x = 10/3 ⇒ 3x² − 10x + 3 = 0 ⇒ (3x − 1)(x − 3) = 0 ⇒ x = 3 or 1/3.

Q3Hard

For what value of k does kx² − 4x + 4 = 0 have equal roots?

A.1✓ correct
B.2
C.−1
D.0
Why

Equal roots ⇒ D = 0. b² − 4ac = 16 − 16k = 0 ⇒ k = 1.

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