Free physics question bank
Quadratic Equation 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 65 questions
- MCQdifficultMathematical tools and vector
How many distinct real roots does x⁴-5x²+4=0 have?
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NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
The acceleration of a particle is a(t)=t²-7t+12 m/s². At which times is the acceleration zero?
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NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
The velocity of a particle is v(t)=t²-5t+6 m/s. At which times is the particle instantaneously at rest?
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NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
If α and β are roots of 2x²-6x+1=0, find 1/α+1/β.
NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
For a(t)=t²-2t+5 m/s², the acceleration becomes zero:
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NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
The equation x² + kx + 16 = 0 has equal roots. Find the positive value of k.
NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
A particle has position x(t)=t²-5t-6 m for t≥0. When does it cross the origin?
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NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
If α+β=6 and αβ=5, the quadratic equation whose roots are α and β is:
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NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
If α and β are roots of x² - 8x + 12 = 0, find (α-β)².
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
A particle has velocity v(t)=t²-6t+k. If its velocity becomes zero at exactly one distinct time, find k.
NEETJEE Mains
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