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Which of the following statement is TRUE?

  • a)
    A quadratic equation in variable x is of the form ax2 + bx + c = 0, where a, b, c are real numbers a ≠ o.

  • b)
    If we can factorise ax2 + bx + c, a ≠ 0 into product of two linear factors then roots can be found by equating each factor to zero

  • c)
    A real number R is said to be a root of the quadratic equation ax2 + bx + c = 0 if a(R)2 + bR + c = 0.

  • d)
    All the above

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statement is TRUE?a)A quadratic equation in var...
A quadratic equation in variable x is of the form ax2+ bx + c = 0, where a, b, c are real numbers a ≠ o, because if a=0 then the equation becomes a linear equation.
If we can factorise ax2 + bx + c, a ≠ 0 into product of two linear factors then roots can be found by equating each factor to zero because if two factors are in multiplication and equal to zero then either of the factor is zero.
A real number R is said to be a root of the quadratic equation ax2 + bx + c = 0 if a(R)2 + bR + c = 0. , root means that the value gives answer equal to zero.
So all are correct.
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Most Upvoted Answer
Which of the following statement is TRUE?a)A quadratic equation in var...
D is right because all options are followed in a quadratic equation and all are true for a quadratic equation...
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Community Answer
Which of the following statement is TRUE?a)A quadratic equation in var...
All of these
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Which of the following statement is TRUE?a)A quadratic equation in variable x is of the form ax2+ bx + c = 0, where a, b, c are real numbers a ≠ o.b)If we can factorise ax2+ bx + c, a ≠ 0 into product of two linear factors then roots can be found by equating each factor to zeroc)A real number R is said to be a root of the quadratic equation ax2+ bx + c = 0 if a(R)2+ bR + c = 0.d)All the aboveCorrect answer is option 'D'. Can you explain this answer?
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Which of the following statement is TRUE?a)A quadratic equation in variable x is of the form ax2+ bx + c = 0, where a, b, c are real numbers a ≠ o.b)If we can factorise ax2+ bx + c, a ≠ 0 into product of two linear factors then roots can be found by equating each factor to zeroc)A real number R is said to be a root of the quadratic equation ax2+ bx + c = 0 if a(R)2+ bR + c = 0.d)All the aboveCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Which of the following statement is TRUE?a)A quadratic equation in variable x is of the form ax2+ bx + c = 0, where a, b, c are real numbers a ≠ o.b)If we can factorise ax2+ bx + c, a ≠ 0 into product of two linear factors then roots can be found by equating each factor to zeroc)A real number R is said to be a root of the quadratic equation ax2+ bx + c = 0 if a(R)2+ bR + c = 0.d)All the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement is TRUE?a)A quadratic equation in variable x is of the form ax2+ bx + c = 0, where a, b, c are real numbers a ≠ o.b)If we can factorise ax2+ bx + c, a ≠ 0 into product of two linear factors then roots can be found by equating each factor to zeroc)A real number R is said to be a root of the quadratic equation ax2+ bx + c = 0 if a(R)2+ bR + c = 0.d)All the aboveCorrect answer is option 'D'. Can you explain this answer?.
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