AP EAMCET 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 AP EAMCET Quadratic Equation in the app →A quadratic 2x² − 7x + 3 = 0 has roots whose product equals what?At most how many roots can a quadratic equation have?If the discriminant of a quadratic is zero, its roots areThe parabola y = ax² + bx + c with a > 0 opensWhere does y = 3x² − 4x + 7 cut the y-axis?Find the x-coordinate of the vertex of y = x² − 6x + 5.For positive k, x² + kx + 9 = 0 has equal roots when k isThe equation x² − 4x + k = 0 has a double root when k equalsFor x² − 7x + 10 = 0 with roots α and β, (α − β)² equalsRoots of x² − 3x + 2 = 0 are doubled. The new equation isThe range of x² + 2x + 3 over real x isThe maximum value of −x² + 4x + 1 isOne root of x² + bx + 12 = 0 is 3. Find b.The equation x² − 7x + 12 = 0 has one root 3. What is the other root?The product of roots of 3x² − 5x + k = 0 is 4. Find k.The roots of x² + (k − 3)x + 2 = 0 add up to 5. Find k.Roots of x² − 6x + k = 0 differ by 2. Then k isThe roots of ax² + bx + c = 0 are reciprocals whenIn ax² + bx + c = 0, if a = 0 and b ≠ 0, the equation isThe highest power of the variable in a quadratic polynomial isWhich condition makes ax² + bx + c = 0 a true quadratic?Which is the quadratic formula for ax² + bx + c = 0?What must be added to x² + 6x to make a perfect square?x² + 8x + k is a perfect square when k equalsCompleting the square, x² − 10x + 7 becomesIn vertex form y = a(x − h)² + k, the vertex isThe axis of symmetry of y = ax² + bx + c is the lineWhat is the vertex of y = x² − 4x + 7?A parabola that never meets the x-axis hasA parabola cuts the x-axis at two points when its discriminant D iskx² + 6x + 1 = 0 has equal roots for k equal toThe roots φ and ψ of x² − x − 1 = 0 satisfy φ² + ψ² =For roots α, β of 2x² − 6x + 1 = 0, α + β + αβ equalsIf the roots of x² + ax + b = 0 are 2 and 3, thenFor which real x is x² − 2x − 3 > 0?For real x, the expression x² + x + 1 isax² + bx + c > 0 for every real x exactly whenQuadratic polynomials having only degree two terms are calledDividing a quadratic by a gives a reduced form with leading coefficientThe reduced form of 2x² + 6x + 4 = 0 isThe word quadratic comes from a Latin word meaningProblems solvable by quadratic equations were known as early asCircle, ellipse, parabola and hyperbola equations are quadratic inFactoring x² + 7x + 12 = 0 by inspection gives rootsWhich is a factorisation of 6x² + x − 2?For x² − 6x + 5 = 0 the numerical value of |α − β| is