Test Details

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Quadratic Equations

Jan 30, 7:45 PM

30 minutes

Jan 30, 8:15 PM

30.0 marks

MCQ

15 questions

Jayashri Mahadev Bhosale

Class Details

Maths

Class 10th

Maths

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Question Text

Question 2 :
Is the following situation possible? If so, determine their present ages.The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Question 3 :
A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

Question 4 :
Check whether the following is a quadratic equation: $(x + 1)^2 = 2(x – 3)$

Question 5 :
Find the nature of the roots of the equation $3x^2 – 2x +\frac{1}{3} = 0$.

Question 6 :
Find the roots of the quadratic equation (by using the quadratic formula): $5x^2+13x+8=0$

Question 7 :
Find the roots of the following quadratic equation (by the factorisation method): $3\sqrt{2}x^2-5x-\sqrt{2}=0$

Question 8 :
Find the roots of the following quadratic equation (by the factorisation method): $3x^2+5\sqrt{5}x-10=0$

Question 9 :
State True or False: If the coefficient of $x^2$ and the constant term have the same sign and if the coefficient of $x$ term is zero, then the quadratic equation has no real roots.

Question 10 :
What is the general expression (standard form) for quadratic equations ?

Question 11 :
Using method of completing the square , $3x^2-5x+2=0$ can be written as ?

Question 13 :
State True or False whether the following quadratic equation has two distinct real roots: $\sqrt{2}x^2-\frac{3}{\sqrt{2}}x+\frac{1}{\sqrt{2}}=0$

Question 14 :
Find the roots of the quadratic equation (by using the quadratic formula): $\frac{1}{2}x^2-\sqrt{11}x+1=0$

Question 15 :
Find the positive root of the equation $2x^2 + x - 300 = 0$, by factorisation.

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