Q22.If the equation a(b −c)x2 + b(c −a)x + c(a −b) = 0 has equal roots, where a + c = 15 and b = 365 , then a2 + c2 is equal to
What This Question Tests
This question checks the understanding of the condition for equal roots of a quadratic equation and the ability to perform algebraic substitutions and simplifications.
Concepts Tested
Formulas Used
D = b² - 4ac
D = 0 for equal roots
📚 NCERT Sections This Tests
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13.5 The Q value of a nuclear reaction A + b ® C + d is defined by Q = [ mA + mb – mC – md]c2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) 11 H+13 H →12 H+12 H (ii) 126 C+126 C →1020 Ne+ 24 He Atomic masses are given to be m ( 12 H ) = 2.014102 u m ( 13 H) = 3.016049 u m ( 126 C ) = 12.000000 u m ( 1020 Ne ) = 19.992439 u
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of a Quadratic Equation
- Year
- 2025
- Shift
- 23 Jan Shift 1
- Q Number
- Q22
- Type
- Numerical
- NCERT Ref
- Class 10 Mathematics Ch 4: Quadratic Equations
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