WBBSE Class 10 Maths Algebra Chapter 1 Quadratic Equations With One Variable Multiple Choice Questions

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WBBSE Class 10 Maths Algebra Chapter 1 Quadratic Equations With One Variable Multiple Choice Questions

Example 1. The sum of two roots of the equation x2 – 6x + 2 = 0

  1. 2
  2. -2
  3. 6
  4. -6

Solution: Answer is 3. 6

Example 2. If the product of two roots of the equation x2 – 3x + k = 10 is -2 then the other value of k is

  1. -2
  2. -8
  3. 8
  4. 12

Solution: Answer is 3. 8

Read And Learn Also WBBSE Class 10 Maths Multiple Choice Questions

Example 3. If two roots of the equation ax2 + bx + c = 0 (a ≠ 0) are real and unequal then b2 – 4ac will be

  1. >0
  2. =0
  3. <0
  4. None of these

Solution: Answer is 1. >0

Class 10 Maths Algebra MCQs

Example 4. If two roots of the equation ax2 – bx – c = 0 (a ≠ 0) be equal then

  1. c = –\(\frac{b}{2 a}\)
  2. c = – \(\frac{b^2}{4 a}\)
  3. c = \(\frac{b}{2 a}\)
  4. c = \(\frac{b^2}{4 a}\)

Solution: Answer is 4. c = \(\frac{b^2}{4 a}\)

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Example 5. If the two roots of the equation 3x2 + 8x + 2 = 0 be and then the value of (\(\frac{1}{\alpha}+\frac{1}{\beta}\)) is

  1. –\(\frac{3}{8}\)
  2. \(\frac{2}{3}\)
  3. -4
  4. 4

Solution: Answer is 3. -4

Example 6. If x + 1 = 0 then x9 – 1 = ?

  1. -2
  2. 2
  3. 1
  4. 0

Solution: Answer is 1. -2

Example 7. kx2 + 4x + 1 = 0, if roots are real and unequal of the Given quadratic equation then

  1. K < 4
  2. K > 4
  3. K ≤ 4
  4. K ≥ 4

Solution: Answer is 1. K < 4

Algebra Multiple Choice Questions Class 10

Example 8. Solution of 5x2 + 2x – 7 = 0 are x = \(\frac{k \pm 12}{10}\), then k =?

  1. 2
  2. -2
  3. \(\frac{7}{5}\)
  4. 11

Solution: Answer is 2. -2

Example 9. If the roots of the equation x2 + 2px + q = 0 are real and unequal then

  1. p2 > q
  2. p2 > q2
  3. p2 <q
  4. p2 < q2

Solution: Answer is 1. p2 > q

WBBSE Class 10 Maths Algebra Chapter 1 Quadratic Equations With One Variable Multiple Choice Questions

Example 10. x2 – ax -6 = 0 and x2 + ax – 2 = 0 have a common root then a = ?

  1. 0
  2. 1
  3. 2
  4. 4

Solution: Answer is 1. 0

Example 11. No. of real roots of 3x2 + 4 = 0 is

  1. 0
  2. 1
  3. 2
  4. 4

Solution: Answer is 1. 0

Wbbse Class 10 Maths Algebra Notes

Example 12. If sum of roots of x2 + px +1=0, p ( > 0) is twice the difference of the roots then P =?

  1. \(-\frac{1}{4}\)
  2. \(\frac{3}{4}\)
  3. ± \(\frac{4}{\sqrt{3}}\)
  4. \(\frac{\sqrt{3}}{2}\)

Solution: Answer is 3. \(\frac{4}{\sqrt{3}}\)

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