Assignment Details

Quadratic Equations

Do all questions

431 minutes

May 01, 10:49 AM

40.0 marks

MCQ

15 questions

Dharmendra prasad

Given your background, you could offer Prasad Master Classes focusing on preparing students for JEE Mains and NEET examinations. Here's how you might structure your classes: Curriculum Design: Comprehensive coverage of Class 11 and 12 Physics syllabus. Emphasis on topics frequently tested in JEE Mains and NEET. Teaching Methodology: Conceptual understanding with real-life examples. Problem-solving techniques and shortcuts. Regular quizzes and mock tests to track progress. Resource Material:

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mathematics & science

CLASS-10

mathematics & science

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Question Text

Question 1 :
Minimum possible number of positive root of the quadratic equation${x^2} - (1 + \lambda )x + \lambda - 2 = 0, \in R:$

Question 3 :
If $a, b$ and $c$ are non-zero real numbers and $a{z}^{2}+bz+c+i=0$ has purely imaginary roots, then $a$ is equal to

Question 4 :
If $a(p+q)^{2}+2 b p q+c=0$ and $a(p+r)^{2}+2 b p r+c=0$ $(a \neq 0),$ then,

Question 5 :
Determine the values of $p$ for which the quadratic equation $2x^2 + px + 8 = 0$ has real roots.

Question 6 :
The roots of $a{ x }^{ 2 }+bx+c=0$, where $a\neq 0,b,c\epsilon R$ are non real complex and $a+c<b$. Then

Question 7 :
if x be real and 0 < b< c then $ \dfrac { { x }^{ 2 }-bc }{ 2x-b-c } $

Question 8 :
The set of values of k for which the given quadratic equation has real roots $2x^2$ + kx +2 = 0 is k $\leq$ 9

Question 9 :
Assertion: If $a$ and $b$ are integers and the roots of $x^2+ax+b=0$ are rational then they must be integers. Reason: If the coefficient of $x^2$ in a quadratic equation is unity then its roots must be integers.

Question 10 :
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 11 :
If $a, b$ and $c$ are in arithmetic progression, then the roots of the equation $ax^{2} - 2bx + c = 0$ are 

Question 12 :
If one root of the equation $a{ x }^{ 2 } + bx + c = 0$ be the square of the other, then the value of${ b }^{ 3 } + { a }^{ 2 }c + a{ c }^{ 2 } $ is

Question 13 :
For what value of $k$ is $x^2 + kx + 9=(x+3)^2$?

Question 14 :
If $b_1b_2=2(c_1+c_2)$, then at least one of the equations $x^2+b_1x+c_1=0$ and $x^2+b_2x+c_2=0$ has

Question 15 :
A company wants to know when the sale of their product reaches a profit level of Rs. $1000$. The revenue equation is R $=$ $200x-0.5x^{2}$, and the cost to produce x product is determined with $C = - 6000 - 40x$. How many products have to be produced and sold to net a profit of Rs. $1000$?

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