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Quadratic Equations Quiz (Class 10)

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Quadratic Equations Quiz (Class 10)

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About this activity

MCQs and statement questions

Created by

Jatin Kumar Maggon
Jatin Kumar Maggon
India

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Quadratic Equations Quiz (Class 10)
 

Quadratic Equations Quiz (Class 10)Online version

MCQs and statement questions

by Jatin Kumar Maggon
1

If ax^2+bx+c=0 with a≠0, the sum of roots is -b/a and the product is c/a. Which option is correct?

2

Solve x^2-5x+6=0 by factoring. Which is a root?

3

Discriminant Δ=b^2-4ac for x^2-4x+5=0 is?

4

Which method can be used to solve x^2+4x-5=0?

5

The quadratic formula x=[-b±√(b^2-4ac)]/(2a) solves equations with what condition?

6

Which of the following is a quadratic equation in standard form?

7

If the roots of ax^2+bx+c=0 are r and s, which property holds?

8

Statement: The graph of a quadratic function is a parabola. True or false?

9

Statement: If Δ<0, the quadratic equation has two real unequal roots. True or false?

10

Statement: Completing the square converts ax^2+bx+c into a perfect square form. True or false?

11

Solve by completing the square: x^2+6x+5=0. Which is a root?

12

If a>0 and Δ>0, the roots are:

13

Statement: A quadratic with a>0 and Δ=0 has two equal real roots. True or false?

14

A word problem: If the height of a ball h(t) = -5t^2+20t+2, when is height maximum?

Feedback

For ax^2+bx+c=0, sum = -b/a and product = c/a.

Factoring gives (x-2)(x-3)=0.

Δ= (-4)^2-4·1·5 = 16-20 = -4.

x^2+4x-5 factors to (x+5)(x-1)=0.

Real roots require Δ≥0.

Quadratic: highest power x^2 with a≠0.

Standard relations: sum = -b/a, product = c/a.

Parabola is the graph of a quadratic function.

Δ<0 means complex roots.

Completing the square rewrites as a^2 term plus constant.

Rewrite: (x+3)^2=4 → x=-3±2.

Δ>0 gives two real roots.

Δ=0 yields a repeated root.

For -5t^2+bt+c, vertex t=b/2a = 20/(2×-5) = -2; but since a negative, re-evaluate: Wait: maximum at t = -b/(2a) = -20/(2×-5)=2.

 
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