Mathematics Quadratic Equations MCQS Online Preparation Sample Paper Questions with Answer
Mastering Mathematics Quadratic Equations is the essential step forward towards your success in the ECAT Plant Entry Test. They are the backbone of algebra and problem-solving and are in the form ax² + bx + c = 0. Concepts like finding roots, factorization, quadratics, etc., assist in tackling these MCQs efficiently. Nokryan. We suggest you visit Nokryan.com for all exam-related practical questions, question papers, and sample paper study material.
Key Concepts in Quadratic Equations
1. Standard Form of a Quadratic Equation
A quadratic equation is written as:
ax2+bx+c=2
where:
- a, b, c are constants,
- x is the variable,
- a ≠ 0 to ensure the equation remains quadratic.
2. Methods for Solving Quadratic Equations
- Factorization: Expressing the quadratic equation as a product of two binomials.
Quadratic Formula:
x = (-b±√(b²-4ac))/(2a) - Completing the Square: Transforming the equation into a perfect square form.
Graphical Method: Finding the points where the parabola intersects the x-axis.
3. Nature of Roots
The nature of the roots depends on the discriminant (Δ\DeltaΔ):
Δ=b2−4ac
- If Δ>0: Two distinct real roots.
- If Δ=0: One real and repeated root.
- If Δ<0: Two complex roots.
ECAT Mathematics Quadratic Equations MCQs
1. ‘÷’ is
- A binary operation in N
- A binary operation in R\{0} correct
- A binary operation in Qc
- A binary operation in R
2. Every even integer is also
- Natural number
- Irrational number
- Rational number correct
- Whole number
3. √34 is
- A rational number
- An irrational number correct
- A negative integer
- A natural number
4. ‘÷’ is
- A binary operation in R
- A binary operation in Qc
- A binary operation in E
- Not A binary operation in R correct
5. ‘-’ is
- A binary operation in O
- A binary operation in R correct
- Not A binary operation in R
- A binary operation in Qc
6. If n is prim, then√n is
- Natural number
- Rational number
- Whole number
- Irrational number correct
7. √36 is
- An irrational number
- An even integer
- A factor of 26
- A rational number correct
8. ‘.’ Is
- A binary operation in Qc
- Not a binary operation in E
- A binary operation in R correct
- Not a binary operation in R
9. A number which can be written in the form p/q, where p and q are relatively prime integers and q = 0 is called the
- Index number
- Irrational number
- Rational number correct
- Imaginary number
10. ‘+’ is
- Not a binary operation in E
- A binary operation in Qc
- A binary operation in R correct
- Not a binary operation in R
11. Every non-repeating non-terminating decimal is
- none of these
- Irrational number correct
- integer
- Rational number
12. If n is a perfect square, then √n is
- An irrational number
- Always an even integer
- Always an odd integer
- A rational number correct
13. 3 is
- A negative integer
- A rational number correct
- An irrational number
- An odd integer
14. √3 is
- A natural number
- An irrational number correct
- A negative integer
- A rational number
15. Every natural number is also
- Negative integer
- rational number correct
- irrational number
- even integer
16. π is
- An irrational number correct
- A rational number
- A whole number
- A natural number
17. The multiplicative identity of real numbers is
- 1 correct
- 3
- 0
- 2
18. Every recurring decimal or terminating decimal represents the
- Rational number correct
- Irrational number
- Natural number
Integer
19. 0 is
- An even integer correct
- An irrational number
- An odd integer
- A natural number
20. If ‘*’ is a binary operation in a set A, then for all a,b Є A,
- A x b Є A
- A*b Є A correct
- A – b Є A
- A + b Є A
21. The additive inverse of 2 is
- 1
- -2 correct
- 0
- 1/2
22. The additive identity of real numbers is
- 1
- 2
- 0 correct
- 3
23. Every odd integer is also
- Rational number correct
- Positive integer
- Negative integer
- Irrational number
24. Every integer is also
- natural number
- irrational number
- Whole number
- negative integer correct
25. ‘÷’ is
- A binary operation in N
- A binary operation in Q – {0} correct
- A binary operation in R
- A binary operation in Qc
Conclusion
A Quadratic equation is an important topic of ECAT Engineering Entry Test Mathematics. Mastering Mathematics Quadratic Equations MCQs helps students build a foundation in algebraic expressions, polynomial functions, and equation-solving techniques.
To further enhance your preparation, visit Nokryan.com for more ECAT MCQs, study materials, and expert guidance. Keep practicing and boost your confidence for the ECAT Engineering Entry Test