Practice Question (Unsolved) For NDA | Practice question (Unsolved) For IIT JEE | Quadratic Equation Practice Question Unsolved

Practice Question (Unsolved) For NDA | Practice question (Unsolved) For IIT JEE | Quadratic Equation Practice Question Unsolved | assignment question

Practice question For Quadratic Equation

1. How many real solutions of the equation x² − 3 |x| + 2 = 0 exist ?
2. Find the value of ‘a’ for which one root of the quadratic equation (a² − 5a + 3) x² + (3a − 1) x + 2 = 0 is twice as large as the other.
3. If the roots of the quadratic equation x² + px + q = 0 are tan30° and tan15°, respectively then what is the value of 2 + q − p ?
4. The quadratic equations x² – 6x + a = 0 and x² – cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. what is the common root ?
5. Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation , what is the quadratic equation ?
6. If (1 – p) is a root of quadratic equation x² + px + (1− p) = 0 , what are its roots ?
7. If roots of the equation x² – bx + c = 0 be two consecutive integers, then What is the value b² – 4c ?
8. If both the roots of the quadratic equation x² – 2kx + k² + k – 5 = 0 are less than 5, what is the interval of k ?

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Practice question On Eigen values and Eigen vectors Linear Algebra | Matrix algebra | GATE | UPSC | IES | Engineering

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