Q61.The number of all possible positive integral value of α for which the roots of the quadratic equation 6x2 −11x + α = 0 are rational numbers is: (1) 5 (2) 3 (3) 4 (4) 2
What This Question Tests
This question tests the condition for rational roots of a quadratic equation, which requires its discriminant to be a perfect square, and then finding the number of positive integral values for a parameter.
Concepts Tested
Formulas Used
D = b² - 4ac
Roots are rational if D is a perfect square
📚 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.
1.27 — 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.
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.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Nature of roots
- Year
- 2019
- Shift
- 09 Jan Shift 2
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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