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Class 11 Maths Practice Test - Quadratic Equations
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Class 11 Maths Practice Test - Quadratic Equations
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18 Questions

1. If acosθ + bsinθ = c have roots α and β. Then, what will be the value of sinα + sinβ?
2. According to De Moivre’s theorem what is the value of z1/n ?
3. Solve – x2 + x – 2 = 0.
4. Roots of a quadratic equation are imaginary when discriminant is ______________
5. Solve x2+1 = 0.
6. Solve \(\sqrt{3}\)x2 + x + \(\sqrt{3}\) = 0
7. If |z1| = 4, |z2| = 3, then what is the value of |z1 + z2 + 3 + 4i|?
8. If x2 + px + 1 = 0 and (a – b)x2 + (b – c)x + (c – a) = 0 have both roots common, then what is the form of a, b, c?
9. Solve \(\sqrt{3}x^2 – \sqrt{2} x + 3\sqrt{3}\) = 0
10. If, α and β are the roots of the equation 2x2 – 3x – 6 = 0, then what is the equation whose roots are α2 + 2 and β2 + 2?
11. Solve 2x2+√2x+2= 0.
12. What will be the product of b * c if the equations x2 + bx + c = 0 and x2 + 3x + 3 = 0 have one common root?
13. If x2 + ax + b = 0 and x2 + bx + a = 0 have exactly 1 common root then what is the value of (a + b)?
14. Roots of a quadratic equation are real when discriminant is ______________
15. If p and q are the roots of the equation x2 + px + q =0 then, what are the values of p and q?
16. What will be the sum of b + c if the equations x2 + bx + c = 0 and x2 + 3x + 3 = 0 have one common root?
17. If acosθ + bsinθ = c have roots α and β. Then, what will be the value of sinα * sinβ ?
18. Solve 2x2 + x + 1 = 0.

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