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CBSE Class 10 Mathematics · Ch 4: Quadratic Equations

CBSE Class 10 Mathematics · Ch 4: Quadratic Equations is an online chapter test in the CBSE Class 10 pattern, covering Quadratic Equations. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.

30
Questions
20
Minutes
30
Marks
None
Negative marking
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Topics in this test

TopicQuestions
Quadratic Equations30

Difficulty: 7 medium · 23 hard

Quadratic Equations MCQ questions with answers

The first 3 of 30 questions. Unlock the series for the rest, each with a solution.

  1. Q1. Which of the following equations has two equal real roots?

    निम्नलिखित में से किस समीकरण के दो समान वास्तविक मूल हैं?

    • A. $x^2-4x+4=0$
    • B. $x^2-5x+6=0$
    • C. $x^2+2x-3=0$
    • D. $2x^2+x+3=0$
    Solution

    For $x^2-4x+4=0$, $b^2-4ac=16-16=0$, giving equal roots; the others have discriminant positive or negative.

    $x^2-4x+4=0$ के लिए, $b^2-4ac=16-16=0$, जिससे समान मूल प्राप्त होते हैं; शेष का विविक्तकर धनात्मक या ऋणात्मक है।

  2. Q2. For which values of $k$ does the equation $kx^2-2x+1=0$ have two distinct real roots?

    $k$ के किन मानों के लिए समीकरण $kx^2-2x+1=0$ के दो भिन्न वास्तविक मूल होंगे?

    • A. $k<1$
    • B. $k\leq1$
    • C. $k<1$ and $k\neq0$ / $k<1$ और $k\neq0$
    • D. $k>1$
    Solution

    For distinct roots $b^2-4ac>0$: $4-4k>0$ gives $k<1$; also $k\neq0$ so that it stays a quadratic equation.

    भिन्न मूलों के लिए $b^2-4ac>0$: $4-4k>0$ से $k<1$; साथ ही $k\neq0$ ताकि यह द्विघात समीकरण बना रहे।

  3. Q3. The length of a rectangular field is $3$ m more than its breadth, and its area is $54$ m$^2$. The breadth of the field is:

    एक आयताकार मैदान की लंबाई उसकी चौड़ाई से $3$ मी अधिक है, और उसका क्षेत्रफल $54$ मी$^2$ है। मैदान की चौड़ाई है:

    • A. $7$ m / $7$ मी
    • B. $8$ m / $8$ मी
    • C. $9$ m / $9$ मी
    • D. $6$ m / $6$ मी
    Solution

    If breadth $=b$, then $b(b+3)=54$, so $b^2+3b-54=0=(b-6)(b+9)$; taking the positive value, $b=6$ m.

    यदि चौड़ाई $=b$, तो $b(b+3)=54$, अतः $b^2+3b-54=0=(b-6)(b+9)$; धनात्मक मान लेने पर, $b=6$ मी।

Frequently asked questions

How many questions are in the CBSE Class 10 Mathematics · Ch 4: Quadratic Equations?

30 questions for 30 marks, to be answered in 20 minutes.

Is there negative marking in the CBSE Class 10 Mathematics · Ch 4: Quadratic Equations?

No — wrong answers are not penalised in this test.

Which topics does the CBSE Class 10 Mathematics · Ch 4: Quadratic Equations cover?

Quadratic Equations (30 questions).

Is the CBSE Class 10 Mathematics · Ch 4: Quadratic Equations free?

It is part of the CBSE Class 10 Test Series 2027 — Chapter-wise + Full Tests (37 tests, ₹199). You can first try Hindi · Ch 1: Surdas ke Pad for free.

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Quadratic Equations MCQ | CBSE Class 10 | SeatBeat