Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course
Offline Centres

Q.

Write the family of quadratic polynomials having − 1 4  and 1   as its zeros.


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

x 2 + 3 4 x+ 1 4  

b

x 2 − 3 4 x− 1 4  

c

x 2 − 3 4 x+ 1 4  

d

x 2 + 3 4 x− 1 4   

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given that zeroes of quadratic polynomials are − 1 4  and 1.  
A polynomial f(x)   having two zeroes p and q can be represented as f x = x−p x−q  
Here, p= −1 4  and q = 1.  
⇒f(x)= x− − 1 4 (x−1)  
⇒f(x) = x+ 1 4 (x−1) =x(x−1)+ 1 4 (x−1) = x 2 −x+ 1 4 x− 1 4 = x 2 − 3 4 x− 1 4  
Therefore, quadratic polynomial having − 1 4  and 1   as its zeros is x 2 − 3 4 x− 1 4 .  
Hence the correct option is 2.
 
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon