10th Class Mathematics Polynomials Question Bank Case Based (MCQs) - Polynomials

If the roots of the quadratic polynomial are equal, and the discriminant \[D={{b}^{2}}-4ac,\] then:

A) \[D>0\]

B) \[D<0\]

C) \[D\ge 0\]

D) \[D=0\]

Correct Answer: D

Solution :

Given that, the zeroes of the polynomial \[a{{x}^{2}}+bx+c\], \[c\ne 0\] are equal. If the roots are equal, then the value of discriminant has to be zero.

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,D={{b}^{2}}-4ac=0\]

So. option [d] is correct.

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10th Class Mathematics Polynomials Question Bank Case Based (MCQs) - Polynomials

question_answer If the roots of the quadratic polynomial are equal, and the discriminant \[D={{b}^{2}}-4ac,\] then: A) \[D>0\] B) \[D<0\] C) \[D\ge 0\] D) \[D=0\]

If the roots of the quadratic polynomial are equal, and the discriminant \[D={{b}^{2}}-4ac,\] then:

A) \[D>0\]

B) \[D<0\]

C) \[D\ge 0\]

D) \[D=0\]