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
- IntegermediumMathematical tools and vector
The position of a particle is x(t)=t²-10t+k. If the graph of x(t) just touches x=0 at one instant, find k.
NEETJEE Mains
Open question & full solution → - MCQdifficultMathematical tools and vector
One root of x²-(k+2)x+2k=0 is twice the other root. Which set gives all possible positive values of k?
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NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
If α and β are roots of 3x² + 7x - 2 = 0, then αβ is:
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NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
If α and β are roots of 2x² - 8x + 3 = 0, find α²+β².
NEETJEE Mains
Open question & full solution → - IntegerdifficultMathematical tools and vector
If x≠0 and x+1/x=3, find x³+1/x³.
NEETJEE Mains
Open question & full solution → - IntegerdifficultMathematical tools and vector
A particle is initially 25 m above the ground and its height is h(t)=25+20t-5t² metres. Find the positive time, in seconds, when it reaches the ground.
NEETJEE Mains
Open question & full solution → - IntegerdifficultMathematical tools and vector
If α and β are roots of x²-6x+k=0 and α²+β²=20, find k.
NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
If x ≠ 0 and x + 1/x = 3, which quadratic equation must x satisfy?
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NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
If α and β are roots of 2x² - 5x + 3 = 0, then α+β is:
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NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
For the equation 2x² - 7x + 3 = 0, the root greater than 1 is:
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NEETJEE Mains
Open question & full solution →