Q61.The sum of the roots of the equation, x2 + |2x −3| −4 = 0, is: (1) 2 (2) −2 (3) √2 (4) −√2
What This Question Tests
This question tests the ability to solve equations involving absolute values by splitting into cases, finding the roots of the resulting quadratic equations, and carefully checking if the roots satisfy the conditions for each case before summing them up.
Concepts Tested
Formulas Used
|x| = x if x >= 0, |x| = -x if x < 0
For ax^2 + bx + c = 0, sum of roots = -b/a
📚 NCERT Sections This Tests
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.
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.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Solving equations involving absolute value
- Year
- 2014
- Shift
- 12 Apr Online
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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