Test Details

Quadratic Equations

Dec 03, 7:00 PM

60 minutes

Dec 03, 8:00 PM

30.0 marks

MCQ

20 questions

Mrs Reeta sathish

Mrs.Reeta Sathish is the principal of New Brilliant group of institutions for the past 22yrs. A doctorate in Maths and teaching maths in the campus .wishing to teach weak students who really find maths difficult . I'm sure to provide result oriented easy method of teaching.

Class Details

Maths

10th STD A. Sec (Boys)

Maths

In this we will cover the entire syllabus of mathematics for 10th Std.chapterwise.eg sums and exercise sums . stepwise will be thought

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Question Text

Question 2 :
For the expression $ax^2 + 7x + 2$ to be quadratic, the necessary condition is

Question 3 :
The discriminant of $x^2 - 3x + k = 0$ is 1 then the value of $k = .............$

Question 4 :
If, in the expression $x^2 - 3$, x increases or decreases by a positive amount a, the expression changes by an amount

Question 5 :
Check whether the given equation is a quadratic equation or not. $\quad { x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } } =2\quad $

Question 6 :
Say true or false.If $2y^{2}\, =\, 12\, -\, 5y$, then solution is $\displaystyle \frac{3}{2}\, or\, -4$.

Question 7 :
Roots of the equation $\sqrt {\dfrac {x}{1-x}}+\sqrt {\dfrac {1-x}{x}}=2\dfrac {1}{6}$ are

Question 9 :
If $x^2-36=0$, which of the following could be a value of $x$?

Question 10 :
The following equation is a qudratic equation. $16x^2 \, - \, 3 \, = \, (2x \, + \, 5)(5x \, - \, 3)$

Question 11 :
Think of a positive number, say $x$. From the square of this number, subtract three times of itself. If the result is $10$, then $x$ is equal to

Question 13 :
If $'r'$ and $'s'$ are the roots of the equation $ax^2+bc+c=0$, then the value of $\displaystyle\frac{1}{r^2}+\frac{1}{s^2}$ is equal to

Question 14 :
Find the discriminant of the equation and the nature of roots. Also find the roots.$2x^2 + 5 \sqrt 3x + 6 =0$

Question 15 :
I. lf one root of the equation $5x^{2}+13x+k=0$ is the reciprocal of the other, then $k=5$ II. lf the roots of the equation $a(b-c)x^{2}+b(c-a)x+c(a-b)=0$ are equal, then $a, b,c$ are in H.P. Which of the above statement is true?

Question 16 :
The roots of the equation $ax^2 + bx + c = 0$ will be imaginary if

Question 17 :
Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals? Why?

Question 19 :
The roots of the equation $(b+c)x^2-(a+b+c)x+a=0$ $(a,b,c\ \epsilon \Q, b+c \neq a)$ are

Question 20 :
Which of the following is correct, if the roots of quadratic equation are equal?

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