Check the below NCERT MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have provided Quadratic Equations Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.
Students can also refer to NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations for better exam preparation and score more marks.
Quadratic Equations Class 10 MCQs Questions with Answers
Question 1.
Which of the following is a quadratic equation?
(a) x² + 2x+ 1 = (4 – x)² + 3
(b) -2x² = (5 – x)[2x – \(\frac{2}{5}\)]
(c) (k + 1)x² + \(\frac{3}{2}\) x = 7, where k = -1
(d) x³ – x² = (x – 1)³
Answer
Answer: (d) x³ – x² = (x – 1)³
Question 2.
Which of the following is not a quadratic equation?
(a) 2(x – 1)² = 4x² – 2x + 1
(b) 2x – x² = x² + 5
(c) (√2x + √3)² + x² = 3x² – 5x
(d) (x² + 2x)² = x4 + 3 + 4x³
Answer
Answer: (c) (√2x + √3)² + x² = 3x² – 5x
Question 3.
Which of the following equations has 2 as a root?
(a) x² – 4x + 5 = 0
(b) x² + 3x – 12 = 0
(c) 2x² – 7x + 6 = 0
(d) 3x² – 6x – 2 = 0
Answer
Answer: (c) 2x² – 7x + 6 = 0
Question 4.
If \(\frac{1}{2}\) is a root of the equation x² + kx – \(\frac{5}{4}\) = 0 then the value of k is
(a) 2
(b) -2
(c) \(\frac{1}{4}\)
(d) \(\frac{1}{2}\)
Answer
Answer: (a) 2
Question 5.
Which of the following has the sum of its roots as 3?
(а) 2x² – 3x + 6 = 0
(b) -x² + 3x + 3 = 0
(c) √2x² – \(\frac{3}{√2}\)x + 1 = 0
(d) 3x² – 3x + 3 = 0
Answer
Answer: (b) -x² + 3x + 3 = 0
Question 6.
Values of k for which the quadratic equation 2x² – kx + k = 0 has equal roots is
(a) 0 only
(b) 4
(c) 8 only
(d) 0, 8
Answer
Answer: (d) 0, 8
Question 7.
Which constant must be added and subtracted to solve the quadratic equation 9x² + \(\frac{3}{4}\) x – √2 = 0 by the method of completing the square?
(a) \(\frac{1}{8}\)
(b) \(\frac{1}{64}\)
(c) \(\frac{1}{4}\)
(d) \(\frac{9}{64}\)
Answer
Answer: (b) \(\frac{1}{64}\)
Question 8.
The quadratic equation 2x² – √5x + 1 = 0 has
(a) two distinct real roots
(b) two equal real roots
(c) no real roots
(d) more than 2 real roots
Answer
Answer: (c) no real roots
Question 9.
Which of the following equations has two distinct real roots?
(a) 2x² – 3√2x + \(\frac{9}{4}\) = 0
(b) x² + x – 5 = 0
(c) x² + 3x + 2√2 = 0
(d) 5x² – 3x + 1 = 0
Answer
Answer: (b) x² + x – 5 = 0
Question 10.
Which of the following equations has no real roots?
(a) x² – 4x + 3√2 = 0
(b) x² + 4x – 3√2 = 0
(c) x² – 4x – 3√2 = 0
(d) 3x² + 4√3 +4 = 0
Answer
Answer: (a) x² – 4x + 3√2 = 0
Question 11.
(x² + 1)² – x² = 0 has
(a) four real roots
(b) two real roots
(c) no real roots
(d) one real roots
Answer
Answer: (c) no real roots
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