Test Details

Quadratic Equations

Appear the maths test

Feb 04, 1:20 PM

45 minutes

Feb 04, 2:05 PM

50.0 marks

MCQ

25 questions

DEBASIS MOHANTY

This is Debasis Mohanty ,your maths teacher.

Class Details

MATHEMATICS

STD-10 MATHS(DIS)

MATHEMATICS

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Question Text

Question 2 :
If $\frac{1}{2}$ is a root of the equation $x^2+kx-\frac{5}{4}=0$, then the value of k is?

Question 3 :
Represent the following situation in the form of a quadratic equation : A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h lesss, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Question 4 :
State true or false: $b^2 – 4ac$ is called the discriminant of the quadratic equation $ax^2 + bx + c = 0$.

Question 5 :
Justify why the following quadratic equation has two distinct real roots: $\left(x-1\right)\left(x+2\right)+2=0$

Question 6 :
At $t$ minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than $\frac{t^2}{4}$ minutes. Find $t$.

Question 7 :
Find the roots of the quadratic equation $6x^2 – x – 2 = 0$, by factorisation.

Question 8 :
The product of Sunita’s age (in years) two years ago and her age four years from now is one more than twice her present age. What is her present age?

Question 9 :
Which constant must be added and subtracted to solve the quadratic equation $9x^2+\frac{3}{4}x-\sqrt{2}=0$ by the method of completing the square?

Question 10 :
Check whether the following is a quadratic equation: $(x + 1)^2 = 2(x – 3)$

Question 14 :
If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?

Question 15 :
State True or False whether the following quadratic equation has two distinct real roots: $3x^2-4x+1=0$

Question 16 :
Find the roots of the quadratic equation (by using the quadratic formula): $\frac{1}{2}x^2-\sqrt{11}x+1=0$

Question 17 :
Two water taps together can fill a tank in $9{\frac{3}{8}}$ hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

Question 18 :
Find the nature of the roots of the following quadratic equation: $2x^2 – 3x + 5 = 0$.

Question 19 :
Check whether the following is quadratic equation : $(x+2)^3 = 2x (x^2 - 1)$

Question 20 :
Using method of completing the square , solve for x: $5x^2-6x-2=0$

Question 21 :
At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present age of Asha.

Question 22 :
State True or False: The expression $b^2$ + $4ac$ is called the discriminant of the quadratic equation.

Question 23 :
Find the discriminant of the equation $3x^2 – 2x +\frac{1}{3} = 0$.

Question 24 :
State True or False whether the following quadratic equation has two distinct real roots: $\left(x+4\right)^2-8x=0$

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