Q61.The sum of all real values of x satisfying the equation (x2 −5x + 5) x2+4x−60 = 1 is (1) 6 (2) 5 (3) 3 (4) −4
What This Question Tests
This question involves solving an exponential equation by considering three cases where the expression equals 1: base is 1, exponent is 0 (and base is not 0), or base is -1 and exponent is an even integer. It tests the ability to solve quadratic equations and apply exponent rules.
Concepts Tested
Formulas Used
a^0 = 1 (a ≠ 0)
1^b = 1
(-1)^b = 1 (if b is even)
📚 NCERT Sections This Tests
3.23 — The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 × 10–5S–1
Chemistry Class 11 · Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Solving exponential equations
- Year
- 2016
- Shift
- 03 Apr
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations (for solving quadratics); Class 9/10 (for exponent rules)
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