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Quadratic Equations Level-2 Quiz-2

April 15, 2021No Comments
Quadratic Equations Level-2 Quiz-2

Welcome to the Level – 1 Quiz – 3 of the topic Quadratic Equations on Knowvation! The pattern of the quiz will be MCQ and you will encounter many challenging problems which are going to be very helpful for the preparation of various competitive exams like, CAT, IIFT, SNAP, XAT, TISSMAT, TISSNET, CMAT, SSC CGL, etc. You’re requested to please do read the instructions given below before starting this quiz.

Here are some basic instructions:

Time Limit: 10 minutes

Number of Multiple Choice Questions: 10

Passing marks: 70%

You’ll see the answers after you SUBMIT the quiz. ‘Green’ color ticks represents a correct answer and the ‘Red’ ticks represents a wrong answer

Please do provide your valuable feedback on the quiz or report any issue/mistake in the comment box below. ALL THE BEST! 😀

1. If one root of the equation 2x^2 – 5x + k = 0 be twice the other, find the value of k.

 
 
 
 

2. Find the quadratic equation which has each of its roots being thrice the roots of 2x^2 – 11x + 12 = 0.

 
 
 
 

3. If K(K + 1) (K + 2) (K + 3) = 120, then find K^2 + 3K given that it is positive.

 
 
 
 

4. One of the roots of the quadratic equation ax^2 + bx + c = 0 is thrice the other root. Which of the following always holds true?

 
 
 
 

5. Find the quadratic equation in x whose roots are twice the roots of x^2 – 9x + 18 = 0.

 
 
 
 

6. If α , β , γ are the roots of the equation x^3 – 4x^2 + 6x – 4 = 0, then the value of 1/α + 1/β + 1/γ.

 
 
 
 

7. The equation x^2 + 4x + 3 = 0 has roots α , β . Find the equation with roots 1 + α /β and 1 – α/β.

 
 
 
 

8. x2 – 9x + |k| = 0 has real roots. How many integer values can ‘k’ take?

 
 
 
 

9. Given (x^2+1/x^2) – 4(x+1/x) + 23/4 = 0. Find (x+1/x).

 
 
 
 

10. The minimum possible value of the sum of the squares of the roots of the equation x^2 + (a + 3)x – (a + 5) = 0 is?

 
 
 
 


Last updated on April 15, 2021

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