Question 11 - MCQs from NCERT Exemplar - Chapter 2 Class 10 Polynomials

Last updated at April 16, 2024 by Teachoo

If the zeroes of the quadratic polynomial ax
^{
2
}
+ bx + c, a ≠ 0 are equal, then:

(a) c and a have opposite signs (b) c and b have opposite signs

(c) c and a have the same sign (d) c and b have the same sign

Transcript

Question 11
If the zeroes of the quadratic polynomial ax2 + bx + c, a ≠ 0 are equal, then:
(a) c and a have opposite signs (b) c and b have opposite signs
(c) c and a have the same sign (d) c and b have the same sign
Since the zeroes are equal
D = 0
b2 − 4ac = 0
b2 = 4ac
ac = 𝑏^2/4
Since product of ac is positive
Both a and c will have the same sign
So, the correct answer is (C)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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