TS EAPCET (Engineering) Quadratic Equation — practice questions
46 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) Quadratic Equation in the app →A quadratic equation is a polynomial equation of which degree?What is the maximum number of solutions a quadratic equation can have?What kind of roots does x² + x + 1 = 0 have?What shape is the curve of a quadratic function?When does the parabola y = ax² + bx + c open downward?Where does y = 3x² − 4x + 7 meet the y-axis?What is the x-coordinate of the vertex of y = x² − 6x + 5?What is the axis of symmetry of y = 2x² + 8x + 1?In which century did al-Khwarizmi develop formulas for quadratic equations?The word quadratic comes from a Latin word meaning what?The golden ratio is the positive root of which equation?If a = 0 and b ≠ 0, the equation ax² + bx + c = 0 becomes what?Circles, ellipses, parabolas and hyperbolas have what type of equation in two variables?A reduced quadratic equation is obtained by dividing throughout by what?When does a real quadratic have two equal real roots?One root of x² − 5x + k = 0 is 2. What is k?If x = 3 is a root of x² + px + 12 = 0, what is p?How many distinct real roots does 4x² − 12x + 9 = 0 have?Using the quadratic formula, what are the roots of x² − 2x − 3 = 0?Which technique is used to derive the quadratic formula?Descartes' theorem says the radii of four mutually tangent circles satisfy what?The critical points of a cubic function are found by solving what?The Egyptian Berlin Papyrus, with a two-term quadratic solution, dates to which period?Factoring by inspection works well only when the roots are what?For rational coefficients, a perfect square discriminant makes the roots what?The roots of a real quadratic are real if and only if its discriminant is what?A parabola tangent to the x-axis means the quadratic has what?In y = ax² + bx + c, a larger magnitude of a makes the parabola what?Which coefficient sets where the parabola meets the y-axis?In vertex form of a quadratic with parameters h and k, the vertex is where?The factored form of a quadratic function directly shows its what?The x-coordinate of a parabola's vertex equals which quantity?Quadratic polynomials with only degree two terms are called what?The zeros of a quadratic function of two variables generally describe what?Why is a term raised to the second power called a square?The position of a body in constant-acceleration motion is what function of time?In floating-point work, the quadratic formula loses accuracy when the roots differ greatly in what?Completing the square on x² + 6x + 5 = 0 gives which roots?To complete the square in x² + 8x, which number is added?For x² + 10x + k to be a perfect square, k must equal what?What are the real solutions of 4x² = 36?For x² + mx + 4 = 0 to have two distinct real roots, which holds?Which equation has roots double those of x² − 3x + 2 = 0?How does the parabola y = x² − 4x + 5 lie relative to the x-axis?How many points does y = x² − 6x + 9 share with the x-axis?Which of these is a quadratic equation?