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
- MCQmediumMathematical tools and vector
If x ≠ 0 and x - 6/x = 1, the possible values of x are:
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NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
One root of x² - 8x + k = 0 is 3. Find k.
NEETJEE Mains
Open question & full solution → - IntegereasyMathematical tools and vector
If α and β are roots of x² - 7x + 10 = 0, find αβ.
NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
If α and β are roots of x² - 5x + 3 = 0, find 1/α + 1/β.
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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 → - 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
Open question & full solution → - MCQdifficultMathematical tools and vector
A ball is projected vertically upward. Its height above the point of projection is h(t)=20t-5t² metres. At what times is the ball 15 m above the point of projection?
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NEETJEE Mains
Open question & full solution → - IntegerdifficultMathematical tools and vector
A particle moves according to x(t)=t²-8t+12 m. Find the time interval, in seconds, between its two crossings of the origin.
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
If α and β are roots of x²-6x+8=0, find (α+1)(β+1).
NEETJEE Mains
Open question & full solution → - MCQdifficultMathematical tools and vector
A particle has velocity v(t)=t²-6t+k m/s. If its velocity never becomes zero for any real time, which condition must k satisfy?
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NEETJEE Mains
Open question & full solution →