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Karnataka SSLC (Class 10) Quadratic Equations — practice questions

Explore 28 free Quadratic Equations questions in Karnataka SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Quadratic Equations questions and exercises with answers

Showing questions 1–28 of 28.

The standard form of a quadratic equation isRead the answer and worked solution →The discriminant of the quadratic equation $ax^2+bx+c=0$ isRead the answer and worked solution →The maximum number of roots a quadratic equation can have isRead the answer and worked solution →The roots of the quadratic equation $x^2 - 5x + 6 = 0$ areRead the answer and worked solution →If the discriminant $b^2-4ac > 0$, the quadratic equation hasRead the answer and worked solution →If the discriminant of a quadratic equation is zero, the roots areRead the answer and worked solution →The discriminant of the equation $x^2 - 4x + 4 = 0$ isRead the answer and worked solution →The roots of the equation $x^2 + x - 6 = 0$ areRead the answer and worked solution →The equation $x^2 + 2x + 5 = 0$ hasRead the answer and worked solution →For the quadratic equation $ax^2+bx+c=0$, the sum of the roots isRead the answer and worked solution →The roots of $2x^2 - 4x = 0$ areRead the answer and worked solution →Complete the definition of slopeRead the answer and worked solution →True or false: slopeRead the answer and worked solution →Zero slope, undefined slope, or neither?Read the answer and worked solution →Match each condition to what it tells youRead the answer and worked solution →Parallel, perpendicular, or neither?Read the answer and worked solution →True or false: parallel and perpendicularRead the answer and worked solution →Order the steps: test three points for collinearityRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Which test applies?Read the answer and worked solution →Flip and pair: condition with conclusionRead the answer and worked solution →Tap every statement true of slopeRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Complete the angle between two linesRead the answer and worked solution →True or false: using coordinatesRead the answer and worked solution →

Worked practice questions

The standard form of a quadratic equation is

  1. $ax+b=0$
  2. $ax^3+bx^2+cx+d=0$
  3. $ax^2+bx+c=0,\ a\ne 0$
  4. $ax^2+bx+c=0,\ a=0$
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Correct answer: C. $ax^2+bx+c=0,\ a\ne 0$

1. A quadratic equation has degree 2. 2. Its standard form is $ax^2+bx+c=0$ with $a\ne 0$. 3. If $a=0$ it would be linear, not quadratic. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch10 'Quadratic Equations', §10.1_

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The discriminant of the quadratic equation $ax^2+bx+c=0$ is

  1. $b^2 + 4ac$
  2. $4ac - b^2$
  3. $\sqrt{b^2-4ac}$
  4. $b^2 - 4ac$
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Correct answer: D. $b^2 - 4ac$

1. The discriminant is the quantity under the root in the quadratic formula. 2. It equals $D = b^2 - 4ac$. 3. Its sign decides the nature of the roots. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch10 'Quadratic Equations', §10.4_

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The maximum number of roots a quadratic equation can have is

  1. 2
  2. 1
  3. 3
  4. 4
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Correct answer: A. 2

1. A quadratic equation has degree 2. 2. So it has at most **2** roots. 3. These may be real and distinct, real and equal, or non-real. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch10 'Quadratic Equations', §10.1_

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