TS EAMCET Quadratic Equations — practice questions
70 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAMCET Quadratic Equations in the app →$ in(180° - \theta)$ equals:$ in^2\theta + \cos^2\theta$ equals:$ in(A + B) = $$\cos 2\theta$ equals:If $ in\theta + \cos\theta = 1$, then $ in\theta \cdot \cos\theta$ equals:$\cos 3\theta$ equals:sin(0°) equals:cos(90°) equals:sin²θ + cos²θ equals:tan(45°) equals:In which quadrant is sin θ positive and cos θ negative?sec θ is defined as:sin(A + B) equals:cos(A + B) equals:sin(60°) cos(30°) + cos(60°) sin(30°) equals:If sin θ = 3/5 (θ in Q1), find cos θ:Find cos(75°) using cos(A + B):sin(2θ) equals:Find sin(15°):If tan θ = 1/2 (acute), find sin 2θ:For 0 ≤ θ < 2π, solutions of sin θ = 1/2:1 - cos²θ equals:sin(A) + sin(B) equals (sum-to-product):In a right triangle, if hypotenuse = 13 and one leg = 5, sin θ for angle θ opposite to that leg:tan(A + B) equals:sin(180° - θ) equals:In triangle ABC with sides a, b, c opposite to angles A, B, C: sine rule states:If sin θ + cos θ = 1, then sin θ × cos θ equals:General solution of cos θ = 0:If tan θ + cot θ = 2, find sin 2θ:If sin θ = 12/13 (acute θ in Q1), find tan(θ/2):Minimum value of sin²θ + cos⁴θ:If sin θ = 12/13 (acute), find tan(θ/2):In triangle with sides 7, 8, 9, find cos of the angle opposite to side 9 (use cosine rule):General solution of sin θ = sin α:What is the largest number of real roots a quadratic equation can have?What is the x-coordinate of the vertex of y = x² - 6x + 5?What is the least value of x² - 6x + 5 for real x?If the roots of x² + px + q = 0 are 2 and 3, what are p and q?The roots of x² - 9x + 14 = 0 differ by how much?A quadratic with rational coefficients has the root 2 + √3. What is its other root?A real-coefficient quadratic has the root 3 + 2i. What is the other root?When does x² - 2x + c = 0 have two distinct real roots?The parabola y = ax² + bx + c opens downward when which holds?Where does y = ax² + bx + c cut the y-axis?If a > 0 and the discriminant is negative, ax² + bx + c isWhat is the vertex form of x² - 4x + 7?Completing the square on 2x² + 4x - 4 = 0 gives which roots?If 2 is a root of x² - 5x + k = 0, what is k?Which equation has roots twice those of x² - 3x + 2 = 0?Which equation has roots that are reciprocals of the roots of 2x² - 5x + 3 = 0?The roots of ax² + bx + c = 0 are reciprocals of each other whenOne root of ax² + bx + c = 0 is zero exactly whenThe roots of ax² + bx + c = 0 are equal in size and opposite in sign whenA rational-coefficient quadratic has a positive perfect-square discriminant. Its roots areWhich equation has rational roots?The product of two consecutive positive integers is 56. What is the smaller one?A rectangle is 3 m longer than wide and has area 40 m². What is its width?Two consecutive positive integers have squares summing to 85. What is the larger one?A ball's height is h = 20t - 5t² metres. When does it land?Two numbers have sum 10 and product 21. What is the larger?In 5x² - 3x + 7 = 0, what is the linear coefficient?If a = 0 and b is not zero in ax² + bx + c = 0, the equation isThe word quadratic comes from a Latin word meaning what?In the form a(x - h)² + k, which point is the vertex?The discriminant of ax² + bx + c equals which expression of the roots α, β?Counting multiplicity, how many complex roots does a quadratic have?After which mathematician are the root-coefficient formulas named?What is the range of x² + x + 1 over the real numbers?If a + b + c = 0, one root of ax² + bx + c = 0 is