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Questions › JNU › JNU SSS 2017 › Q14
1 mark, −0.25Mathematics › Quantitative aptitude and data reasoning › Equations and inequalitiesEasyabout 1 min

JNU SSS 2017 Question 14: Quantitative aptitude and data reasoning

Consider the following quadratic function of ttt :

f(t)=a+b×t+c×t2f(t) = a + b \times t + c \times t^2f(t)=a+b×t+c×t2

where aaa, bbb, ccc and ttt are real numbers. It is known that for all values of ttt, f(t)≥0f(t) \ge 0f(t)≥0. A real number xxx is called a root of the function fff if it satisfies the condition f(x)=0f(x) = 0f(x)=0. Which one of the following statements is certainly true?

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Consider the following quadratic function of t: f(t) = a + b × t + c × t² where a, b, c and t are real numbers. It is known that for all values of t, f(t) ≥ 0. A real number x is called a root of the function f if it satisfies the condition f(x) = 0. Which one of the following statements is certainly true? (A) The function f has exactly two roots. (B) The function f has no roots. (C) The function f has exactly one root. (D) The function f has at most one root.

Also written as: Consider the following quadratic function of t: f(t) = a + b * t + c * t^2 where a, b, c and t are real numbers. It is known that for all values of t, f(t) >= 0. A real number x is called a root of the function f if it satisfies the condition f(x) = 0. Which one of the following statements is certainly true?

Quantitative aptitude and data reasoning has come up 92 times in 6 exams since 2008.

What this question tests

This question is on Equations and inequalities, part of Quantitative aptitude and data reasoning in Mathematics.

Solving quadratic and other equations and inequalities.

TestStop has 26 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q38Let k ∈ ℝ. Which of the following is/are correct for the roots of x² + 2(k+1)x + 9k - 5 = 0?
Practise Quantitative aptitude and data reasoningMore on Equations and inequalities

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