Q86.Let [t] denote the greatest integer less than or equal to t. Let f : [0, ∞) →R be a function defined by f(x) = [ x2 + 3] −[√x]. Let S be the set of all points in the interval [0, 8] at which f is not continuous. Then ∑a∈S a is equal to _______
What This Question Tests
This question tests the understanding of conditions for a system of linear equations to have infinitely many solutions, requiring the determinant of the coefficient matrix to be zero and consistency conditions.
Concepts Tested
Formulas Used
For a system AX=B to have infinitely many solutions, det(A) = 0 and det(A_j) = 0 for all j (Cramer's Rule extension) or rank(A) = rank([A|B]) < number of variables.
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Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
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📋 Question Details
- Chapter
- Matrices & Determinants
- Topic
- System of linear equations
- Year
- 2024
- Shift
- 06 Apr Shift 2
- Q Number
- Q86
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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