Q61.The sum of all the roots of the equation ๐ฅ2 - 8๐ฅ+ 15 - 2๐ฅ+ 7 = 0 is (1) 9 - โ3 (2) 9 + โ3 (3) 11 - โ3 (4) 11 + โ3
What This Question Tests
This question tests the ability to solve an equation containing an absolute value by splitting it into cases, solving the resulting quadratic equations, and finding the sum of all valid roots.
Concepts Tested
Formulas Used
|x| = a => x = a or x = -a
Sum of roots of ax^2 + bx + c = 0 is -b/a
๐ NCERT Sections This Tests
9.15 โ Apply Mirror Equation And The Condition:
Physics Class 12 ยท 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.
1.27 โ If The Solubility Product Of Cus Is 6 ร 10โ16, Calculate The Maximum Molarity Of
Chemistry Class 11 ยท Chapter 1
1.27 If the solubility product of CuS is 6 ร 10โ16, calculate the maximum molarity of CuS in aqueous solution.
14.2 โ Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 ยท Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
๐ Question Details
- Chapter
- Quadratic Equations
- Topic
- Solving equations involving absolute values
- Year
- 2023
- Shift
- 06 Apr Shift 1
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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