Q87.The number of distinct real roots of the equation |x||x + 2| −5|x + 1| −1 = 0 is_______
What This Question Tests
The question tests the ability to solve equations involving the modulus function by considering different cases based on the sign of the expressions inside the modulus, leading to multiple quadratic equations.
Concepts Tested
Formulas Used
|x| = x if x >= 0, -x if x < 0
📚 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.
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Solving equations involving modulus function
- Year
- 2024
- Shift
- 05 Apr Shift 1
- Q Number
- Q87
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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