Q51.If α and β are the roots of the equation 2x(2x + 1) = 1, then β is equal to : (1) 2α(α + 1) (2) −2α(α + 1) (3) 2α(α −1) (4) 2α2
What This Question Tests
This question tests the basic understanding of the roots of a quadratic equation and their relationships, allowing for substitution and simplification to find an expression for one root in terms of the other.
Concepts Tested
Formulas Used
ax²+bx+c=0; α+β = -b/a; αβ = c/a
📚 NCERT Sections This Tests
2.1 — Arrange The Following Metals In The Order In Which They Displace Each Other
Chemistry Class 11 · Chapter 2
2.1 Arrange the following metals in the order in which they displace each other from the solution of their salts. Al, Cu, Fe, Mg and Zn.
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of quadratic equation
- Year
- 2020
- Shift
- 06 Sep Shift 2
- Q Number
- Q51
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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