Assignment Details

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Quadratic Equations

Solve it..

1468 minutes

Jan 10, 12:32 PM

40.0 marks

MCQ

20 questions

Dharmendra Kumar

Solve problem using thought process.....

Class Details

Maths

Class 10

Maths

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Question Text

Question 1 :
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 :
Using method of completing the square , solve for x: $5x^2-6x-2=0$

Question 4 :
Values of $k$ for which the quadratic equation $2x^2–kx+k=0$ has equal roots is

Question 5 :
State True or False whether the following quadratic equation has two distinct real roots: $x\left(1-x\right)-2=0$

Question 6 :
Using method of completing the square , $9x^2-15x+6=0$ can be written as ?

Question 7 :
Justify why the following quadratic equation has no two distinct real roots: $x\left(1-x\right)-2=0$

Question 8 :
Which constant should be added and subtracted to solve the quadratic equation $4x^2-\sqrt{3}x-5=0$ by the method of completing the square?

Question 9 :
Justify why the following quadratic equation has no two distinct real roots: $x^2-3x+4=0$

Question 10 :
State True or False whether the following quadratic equation has two distinct real roots: $2x^2+x-1=0$

Question 12 :
If $b=0$, $c<0$, is it true that the roots of $x^2+bx+c=0$ are numerically equal and opposite in sign?

Question 14 :
Justify why the following quadratic equation has two distinct real roots: $\sqrt{2}x^2-\frac{3}{\sqrt{2}}x+\frac{1}{\sqrt{2}}=0$

Question 15 :
Find the nature of the roots of the following quadratic equation: $2x^2 – 6x + 3 = 0$

Question 16 :
Does the following equation has the sum of its roots as 3? $2x^2-3x+6=0$

Question 17 :
Find the roots of the quadratic equation $3x^2 - 2\sqrt{6}x+2=0$, by factorisation.

Question 18 :
Check whether the following is quadratic equation : $x^3 - 4x^2 - x + 1 = (x-2)^3$

Question 19 :
Find the roots of the equation $2x^2 – 5x + 3 = 0$, by factorisation.

Question 20 :
Check whether the following is a quadratic equation: $(x + 2)^3 = x^3 – 4$

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