A teacher asks three students to complete the following statement about the nature of the roots of a quadratic equation.

If q^2-4pr>0, the roots of the quadratic equation 〖px〗^2+ax+r=0 will be...

Zain answers, "always positive".

Vipul answers, "positive, if p, q, and r are positive".

Suman answers, "negative, if p, q, and r are positive".

Who answered correctly?

(A) Zain 

(B) Vipul 

(C) Suman 

(D) (none of them)

 

If q2– 4pr > 0, the roots of the quadratic equation px2 + qx + r = 0 - Practice Questions CBSE - Maths Class 10 (2023 Boards)

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Transcript

A teacher asks three students to complete the following statement about the nature of the roots of a quadratic equation. If 𝑞^2−4𝑝𝑟>0, the roots of the quadratic equation 〖𝑝𝑥〗^2+𝑎𝑥+𝑟=0 will be... Zain answers, "always positive". Vipul answers, "positive, if p, q, and r are positive". Suman answers, "negative, if p, q, and r are positive". Who answered correctly? (A) Zain (B) Vipul (C) Suman (D) (none of them)

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