Bissoy.com
Doctors Medicines MCQs Q&A

Consider the statements given below: A: Min/max value any expression ax2 + bx + c = 0 can be given as: D/4a. where D = Discriminant. B: Value of ‘x’ at which expression ax2 + bx + c = 0 will be min or max is given by (-b/2a). C: Any quadratic equation can be written as: x2 – (Product of roots)x + Sum of roots = 0 Which of the statement(s) is/are TRUE?

Consider the statements given below: A: Min/max value any expression ax2 + bx + c = 0 can be given as: D/4a. where D = Discriminant. B: Value of ‘x’ at which expression ax2 + bx + c = 0 will be min or max is given by (-b/2a). C: Any quadratic equation can be written as: x2 – (Product of roots)x + Sum of roots = 0 Which of the statement(s) is/are TRUE? Correct Answer Only B is true 

FORMULA USED:

Min/max value any expression ax2 + bx + c = 0 = -D/4a

Value of ‘x’ at which expression ax2 + bx + c = 0 will be min or max = -b/2a

Any quadratic equation can be written as: x2 – (Sum of roots)x + Product of roots = 0

CALCULATION:

A: Min/max value any expression ax2 + bx + c = 0 can be given as:

-D/4a.

Where D = Discriminant.

B: Value of ‘x’ at which expression ax2 + bx + c = 0 will be min or max is given as:

-b/2a

C: Any quadratic equation can be written as:

x2 – (Sum of roots)x + Product of roots = 0

∴, only B is TRUE.

Related Questions

Consider the statements given below: A: Sum of roots of a quadratic equation ax2 + bx + c = 0 is (c/a). B: If one root of a quadratic equation is (p + qi), then root must be (q + pi). C: Roots of the equation 3x2 + 4x = 5 are all real. Which of the statement(s) is/are TRUE?
There are two students A and B. Both of them give an exam. In the exam, A scored 30% marks. If A got 14.285% marks more of the essential minimum pass marks he would pass. In the same exam, B got 45% marks and secured 28.57% marks more of the essential minimum pass marks. What are the maximum number and minimum pass marks of the exam? A. Max 600 and Min 210 B. Max 400 and Min 140 C. Max 600 and Min 200 D. Max 700 and Min 210 Which statement is/are correct?
In quadratic equations aX2 + bX + c = 0 and dY2 + eY + f = 0, a, b and c are the coefficient of X2, X and constant term of aX2 + bX + c = 0 while d, e and f (are integers) and are the coefficient of Y2, Y and constant term of equation dY2 + eY + f = 0. If the ratio of sum of a and b together to the sum of b and c together is 11 : 6, a : b = 6 : 5, b2 = 4a + c, f2 = e + d – 3, d : e = 3 : 4, and e = 3f + 1 then find a quartic equation in Z(variable) whose roots are the roots of given equations.
Which of the following is true? A: If the sum of cube of three numbers is thrice the product of the three numbers, then the sum of three numbers will be non-zero. B: For quadratic equation ax2 + bx + c = 0, If b2 < 4ac, then the given equation has only one real root. C: In the equation, x2 – (a + b)x + ab = 0, the roots of this equation will be ‘a’, ‘b’.
Let x̅1 and x̅2 (where x̅2 > x̅1) be the means of two sets comprising n1 and n2 (where n2 < n1) observations respectively. If x̅ is the mean when they are pooled, then which one of the following is correct?
The product of the roots of a quadratic equation is 20 and the sum of its roots is (-8). What is the quadratic equation?
If sum of the roots of a quadratic equation is ­-7 and product of the roots is 12. Find the quadratic equation.
Consider a question and two statements: Question : Does the equation ax2 + bx + c = 0 have real roots of opposite sign? Statement – I : The discriminant D > 0 Statement – II : c / a > 0 Which one of the following is correct in respect of the question and the statements?
Given below are two statements, followed by four conclusions. Assume the facts in the statements to be true and decide which of the conclusions logically follow(s) from the statements. Statements: All roots are fruits. All fruits are guns. Conclusions: I. All roots are guns,. II. All guns are roots. III. All fruits are roots. IV. Some guns are roots.
Consider the following statements: I. The smallest element in a max-heap is always at a leaf node II. The second largest element in a max-heap is always a child of the root node III. A max-heap can be constructed from a binary search tree in Θ(n) time IV. A binary search tree can be constructed from a max-heap in Θ(n) time Which of the above statements are TRUE?