Chapter 7: Application of Integrals
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Syllabus Sections
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Worksheet Details:
- • Title: Class XII Math: Application of Integrals Printable Sheet
- • Format: Print Optimized CSS stylesheet
- • Sections: Formulas checklist, 5 assessment questions, worked keys
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Class XII Mathematics: Application of Integrals
Section I: Key Formulas
Section II: Answer the Questions
1. Find the coordinates of points on line 1 1 1 2 2 x y z - += = which are at a distance of √11 units from origin.
2. A particle moves along the curve 3y = ax 3 + 1 such that at a point with x -coordinate 1, y - coordinate is changing twice as fast at x-coordinate. Find the value of a.
3. Solve the following Linear Programming Problem graphically: Maximize: Z = Subject to : 5
4. Solve the following linear programming problem graphically : Minimize : Z = 5x + 10y subject to constraints : x + 2y ≤ 120 x +y ≥ 60 x - 2y ≥ 0 x ≥ 0,y ≥ 0.
5. Find the equation of a line passing through the point P(2, -1, 3) and perpendicular to the lines ^ ^ ^ ^r (2 2 )i j k i j k λ= + - + - +⃗ ^ ^ and ^ ^ ^ ^r 2 3 ( 2 2 )i j k i j k μ= - - + + + ^⃗ ^