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This mock test of MCQ : Quadratic Equations - 1 for Class 10 helps you for every Class 10 entrance exam.
This contains 10 Multiple Choice Questions for Class 10 MCQ : Quadratic Equations - 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Which of the following is a quadratic equation?

Solution:

**The correct answer is d**

**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.**

QUESTION: 2

Which of the following is not a quadratic equation?

Solution:

QUESTION: 3

Which of the following equations has 2 as a root?

Solution:

QUESTION: 4

Which of the following are the roots of the quadratic equation, x^{2} - 9x + 20 = 0 by factorisation?

Solution:

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

QUESTION: 5

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

Solution:

QUESTION: 6

If p,q and r are rational numbers and p ≠ q ≠ r, then roots of the equation (p^{2} - q^{2})x^{2} - (q^{2} - r^{2})x + (r^{2} - p^{2}) = 0 are

Solution:

Putting x = - 1, we have

∴ x = - 1 is one root.

Only option (d) has one root - 1.

QUESTION: 7

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

Solution:

QUESTION: 8

If α, β are roots of the equation x^{2} + 5x + 5 = 0, then equation whose roots are α + 1 and β + 1 is

Solution:

QUESTION: 9

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

Solution:

QUESTION: 10

Which of the following equations has two distinct real roots ?

Solution:

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