Quadratic Equations Quiz (Class 10)

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MCQs and statement questions

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Jatin Kumar Maggon

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Quadratic Equations Quiz (Class 10)


Quadratic Equations Quiz (Class 10)Versión en línea MCQs and statement questions por 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? a Sum of roots = b/a; product = -c/a b Sum of roots = a/b; product = a/c c Sum of roots = -c/a; product = b/a d Sum of roots = -b/a; product = c/a 2 Solve x^2-5x+6=0 by factoring. Which is a root? a x=-2 and x=-3 b x=2 and x=3 c x=1 and x=6 d x=0 and x=5 3 Discriminant Δ=b^2-4ac for x^2-4x+5=0 is? a Δ=0 b Δ=16 c Δ=-4 d Δ=4 4 Which method can be used to solve x^2+4x-5=0? a Using synthetic division b Completing the square c Graphing only d Factoring 5 The quadratic formula x=[-b±√(b^2-4ac)]/(2a) solves equations with what condition? a Real roots exist when b^2-4ac ≥ 0 b b^2-4ac ≤ 0 c Discriminant is always positive d a=0 6 Which of the following is a quadratic equation in standard form? a x^3+2x-5=0 b √(x^2+1)=0 c 3x^2+2x-1=0 d 2x+3=0 7 If the roots of ax^2+bx+c=0 are r and s, which property holds? a r+s = b/a and rs = c/a b r+s = -b/a and rs = c/a c r+s = -c/a and rs = b/a d r+s = a/b and rs = -c/a 8 Statement: The graph of a quadratic function is a parabola. True or false? a False b Only for a>0 c Only for a<0 d True 9 Statement: If Δ<0, the quadratic equation has two real unequal roots. True or false? a It has at least one integer root b True c False d It always has a rational root 10 Statement: Completing the square converts ax^2+bx+c into a perfect square form. True or false? a True b Only when a=1 c Never in integer coefficients d False 11 Solve by completing the square: x^2+6x+5=0. Which is a root? a x=-5±√1 b x=-3±√4 c x=-6±√4 d x=-3±√9 12 If a>0 and Δ>0, the roots are: a No real roots b Two distinct real roots c One real root d Infinite roots 13 Statement: A quadratic with a>0 and Δ=0 has two equal real roots. True or false? a True b Has no real roots c Has three roots d False 14 A word problem: If the height of a ball h(t) = -5t^2+20t+2, when is height maximum? a At t=4 b At vertex t=2 c At t=5 d At t=0 Feedback 1 For ax^2+bx+c=0, sum = -b/a and product = c/a. 2 Factoring gives (x-2)(x-3)=0. 3 Δ= (-4)^2-4·1·5 = 16-20 = -4. 4 x^2+4x-5 factors to (x+5)(x-1)=0. 5 Real roots require Δ≥0. 6 Quadratic: highest power x^2 with a≠0. 7 Standard relations: sum = -b/a, product = c/a. 8 Parabola is the graph of a quadratic function. 9 Δ<0 means complex roots. 10 Completing the square rewrites as a^2 term plus constant. 11 Rewrite: (x+3)^2=4 → x=-3±2. 12 Δ>0 gives two real roots. 13 Δ=0 yields a repeated root. 14 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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Quadratic Equations Quiz (Class 10)

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Quadratic Equations Quiz (Class 10)Versión en línea

por Jatin Kumar Maggon

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?

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

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

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

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

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

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

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

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

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

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

If a>0 and Δ>0, the roots are:

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

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

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