Unit Test: Quadratic Equations - Class 10 MCQ

# Unit Test: Quadratic Equations - Class 10 MCQ

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## 10 Questions MCQ Test Online MCQ Tests for Class 10 - Unit Test: Quadratic Equations

Unit Test: Quadratic Equations for Class 10 2024 is part of Online MCQ Tests for Class 10 preparation. The Unit Test: Quadratic Equations questions and answers have been prepared according to the Class 10 exam syllabus.The Unit Test: Quadratic Equations MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Unit Test: Quadratic Equations below.
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Unit Test: Quadratic Equations - Question 1

### Which of the following is a quadratic equation?

Detailed Solution for Unit Test: Quadratic Equations - Question 1

A quadratic equation (from the Latin quadratus for "square") is any equation that can be rearranged in standard form as. where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no. term.

Therefore, x3 - x2 = ( x -1)3 is a quadratic equation.

Unit Test: Quadratic Equations - Question 2

### Which of the following is not a quadratic equation?

Detailed Solution for Unit Test: Quadratic Equations - Question 2

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Unit Test: Quadratic Equations - Question 3

### Which of the following equations has 2 as a root?

Detailed Solution for Unit Test: Quadratic Equations - Question 3

Unit Test: Quadratic Equations - Question 4

Which of the following are the roots of the quadratic equation, x2 - 9x + 20 = 0 by factorisation?

Detailed Solution for Unit Test: Quadratic Equations - Question 4

∴ x = 4 and 5 are the roots/solution of the given quadratic equation

Unit Test: Quadratic Equations - Question 5

Value(s) of k for which the quadratic equation 2x2 -kx + k = 0 has equal roots is

Detailed Solution for Unit Test: Quadratic Equations - Question 5

b2-4ac = 0
k2-4(2)(k) = 0
k(k-8) = 0
k=0 or k=8

Unit Test: Quadratic Equations - Question 6

If p,q and r are rational numbers and p ≠ q ≠ r, then roots of the equation (p2 - q2)x2 - (q2 - r2)x + (r2 - p2) = 0 are

Detailed Solution for Unit Test: Quadratic Equations - Question 6

Putting x = - 1, we have
∴ x = - 1 is one root.
Only option (d) has one root - 1.

Unit Test: Quadratic Equations - Question 7

The two consecutive odd positive integers, sum of whose squares is 290 are

Unit Test: Quadratic Equations - Question 8

If α, β are roots of the equation x2 + 5x + 5 = 0, then equation whose roots are α + 1 and β + 1 is

Detailed Solution for Unit Test: Quadratic Equations - Question 8

Unit Test: Quadratic Equations - Question 9

The quadratic equation with real co-efficients whose one root is

Unit Test: Quadratic Equations - Question 10

Which of the following equations has two distinct real roots ?

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