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Class 10 Exam  >  Class 10 Notes  >  Mathematics (Maths) Class 10  >  Assertion & Reason Type Questions: Quadratic Equations

Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations

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Q1:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself:Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.

Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.

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Q2:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.

Reason (R): The product of two consecutive integrals is a multiple of 2.

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Q3:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): In the expression:Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations x can’t have values 3 and – 5

Reason (R): If discriminant D = b2 – 4ac > 0 then the roots of the quadratic equation ax2 + bx + c = 0 are real and unequal.

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Q4:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The equation 8x2 + 3kx + 2 = 0 has equal roots than the value of k is ± Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations

Reason (R): The equation ax2 + bx + c = 0 has equal roots if D = b2 – 4ac = 0.

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Q5:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Values of x are Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations a for a quadratic equation 2x2 + ax – a2 = 0.

Reason (R): For quadratic equation ax2 + ax + c = 0, Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations

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Q6:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Sum of ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Then the difference between their ages is 16.

Reason (R): For quadratic equation ax2 + bx + c = 0,

Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations

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Q7:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.

Reason (B): If discriminant D = b2 – 4ac < 0="" then="" the="" roots="" of="" the="" quadratic="" equation="" />2 + bx + c = 0 are imaginary.

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Q8:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If we solve the equation of the form 9(x+2) – 6.(3)(x+1) + 1 = 0, then x = – 2.

Reason (R): The equation of the form x2a + xb + b = 0 can’t be solved by quadratic formula.

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Q9:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The equationClass 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations has no root.

Reason (R): x - 1 ≠ 0, then only above equation is defined.

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Q10:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The equation x2 + 3x+1 = (x - 2)2 is a quadratic equation.

Reason : Any equation of the form ax2 + bx + c = 0 where a ≠ 0 , is called a quadratic equation.

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Q11:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The values of x are Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations a for a quadratic equation 2x2 +ax- a2 =0 .

Reason : For quadratic equation ax2 + bx+ c = 0

Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations

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Q12:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The value of k = 2 , if one root of the quadratic equation 6x2 -x- k = 0 is ⅔

Reason : The quadratic equation ax2 + bx + c = 0, a ≠ 0 a has two roots.

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Q13:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself:DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If roots of the equation x2 - bx + c = 0 are two consecutive integers, then b2 - 4c =1

Reason : If a, b, c are odd integer then the roots of the equation 4abc x2 + (b2 - 4ac)x - b = 0 are real and distinct.

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Q14:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : A quadratic equation ax2 + bx + c = 0 , has two distinct real roots, if b2 - 4ac >0 .

Reason : A quadratic equation can never be solved by using method of completing the squares.

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Q15:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : 4x2 -12x+9 =0 has repeated roots.

Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .

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Q16:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.

Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.

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Q17:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The equation 8x2 + 23kx+0 = has equal roots then the value of k is Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations

Reason : The equation ax2 + bx+ c = 0 has equal roots if D =b2 - 4ac =0

View Solution

Q18:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The roots of the quadratic equation x2 + 2x+2 = 0 are imaginary.

Reason : If discriminant D =b2 - 4ac <0 then="" the="" roots="" of="" quadratic="" equation="">2 + bx+ c = 0 are imaginary.

View Solution

Q19:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .

Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.

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Q20:

Question for Assertion & Reason Type Questions: Quadratic Equations
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Sum and product of roots of 2x2 -35x+0 = are Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations andClass 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations respectively.

Reason : If a and b are the roots of ax2 + bx + c = 0 , a ≠ 0 , then sum of roots = α +β = Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations and product of roots Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations

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The document Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations is a part of the Class 10 Course Mathematics (Maths) Class 10.
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Document Description: Assertion & Reason Type Questions: Quadratic Equations for Class 10 2025 is part of Mathematics (Maths) Class 10 preparation. The notes and questions for Assertion & Reason Type Questions: Quadratic Equations have been prepared according to the Class 10 exam syllabus. Information about Assertion & Reason Type Questions: Quadratic Equations covers topics like and Assertion & Reason Type Questions: Quadratic Equations Example, for Class 10 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Assertion & Reason Type Questions: Quadratic Equations.
Introduction of Assertion & Reason Type Questions: Quadratic Equations in English is available as part of our Mathematics (Maths) Class 10 for Class 10 & Assertion & Reason Type Questions: Quadratic Equations in Hindi for Mathematics (Maths) Class 10 course. Download more important topics related with notes, lectures and mock test series for Class 10 Exam by signing up for free. Class 10: Class 10 Maths Chapter 4 Assertion and Reason Questions - Quadratic Equations
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