The zeros of the quadratic polynomial x2 + ax + h, a,b > 0 are
  • a)
    both positive
  • b)
    both negative
  • c)
    one positive one negative
  • d)
    can’t say
Correct answer is option 'B'. Can you explain this answer?
Related Test: MCQ : Polynomials - 2

Class 10 Question

By Happy Singh · Sep 20, 2020 ·Class 10
5 Answers
Aditya Raj Singh answered Apr 15, 2020
Let m and n be roots ;
then,
m+n=-a;---1
and
m×n=b---2

from ---2
we know , negative × negative=positive (b=m×n).
postive × positive =positive (b=m×n).

from ---1
a can be negative ,if and only if both are negative
or either one is negative.

in both we see;
both negative as common.
HENCE BOTH THE ROOTS ARE NEGATIVE

K_i_s_h_a_n answered 4 weeks ago
Both zeroes will be negative

Akshay Kenkare answered 1 week ago
Correct ans is B
if you want verification solve the problem

Lakshya Sharan answered May 06, 2020
Let the roots of equation be m and n
then
m+n= -a
m*n= b
as per question a>0
so m+n< />
and b>0
m*n>0
to satisfy the equations both m and n must be negative

Harapriya Gond answered 1 week ago
Both zeroes will be positive

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