Free physics question bank
Mathematical tools and vector questions with solutions
Practice Mathematical tools and vector for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
Showing 1–10 of 1122 questions
- MCQmediumMathematical tools and vector
Evaluate ∫ (x + 1)(x² - x + 2) dx.
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
If α and β are roots of x²-5x+6=0, find α/β + β/α.
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NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
If y = sin[cos(x²)], find dy/dx.
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
If y = sin(log x), find dy/dx at x = 1.
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JEE MainsNEET
Open question & full solution → - MCQeasyMathematical tools and vector
If y = 3x⁵ - 4x³ + 7x - 9, find dy/dx.
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
A vector makes angles α, β, γ with +x,+y,+z. If cosα=1/2, cosβ=1/2 and its z-component is positive, find cosγ.
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NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
Evaluate ∫ (4x+5)√(2x²+5x+7) dx.
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
If y = √(x²+3), find dy/dx at x = 1.
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JEE MainsNEET
Open question & full solution → - IntegermediumMathematical tools and vector
Evaluate 1²+2²+...+10².
NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
A unit vector n̂ is parallel to 2î-ĵ+2k̂. Find (3î+4ĵ)·n̂.
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NEETJEE Mains
Open question & full solution →