Class 10 Exam > Class 10 Tests > Assertion & Reason Test: Quadratic Equation - Class 10 MCQ

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Assertion & Reason Test: Quadratic Equation for Class 10 2024 is part of Class 10 preparation. The Assertion & Reason Test: Quadratic Equation questions and answers have been prepared
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Assertion & Reason Test: Quadratic Equation - Question 1

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, x^{2} – 1 = 0 is pure quadratic equation.

Reason (R): An equation of the form ax^{2} + c = 0 is known as pure quadratic equation.

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 1

Assertion & Reason Test: Quadratic Equation - Question 2

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.

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 2

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Assertion & Reason Test: Quadratic Equation - Question 3

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: x can’t have values 3 and – 5

Reason (R): If discriminant D = b^{2} – 4ac > 0 then the roots of the quadratic equation ax^{2} + bx + c = 0 are real and unequal.

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 3

Assertion & Reason Test: Quadratic Equation - Question 4

Assertion (A): The equation 8x^{2} + 3kx + 2 = 0 has equal roots than the value of k is ±

Reason (R): The equation ax^{2} + bx + c = 0 has equal roots if D = b^{2} – 4ac = 0.

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 4

Assertion & Reason Test: Quadratic Equation - Question 5

Assertion (A): Values of x are a for a quadratic equation 2x^{2} + ax – a2 = 0.

Reason (R): For quadratic equation ax^{2} + ax + c = 0,

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 5

Assertion & Reason Test: Quadratic Equation - Question 6

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 ax^{2} + bx + c = 0,

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 6

Assertion & Reason Test: Quadratic Equation - Question 7

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

Reason (B): If discriminant D = b^{2} – 4ac < 0 then the roots of the quadratic equation ax^{2} + bx + c = 0 are imaginary.

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 7

Assertion & Reason Test: Quadratic Equation - Question 8

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 x^{2a} + x^{b} + b = 0 can’t be solved by quadratic formula.

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 8

Assertion & Reason Test: Quadratic Equation - Question 9

Assertion (A): The equation has no root.

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

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 9

Assertion & Reason Test: Quadratic Equation - Question 10

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 x^{2} + 3x+1 = (x - 2)^{2} is a quadratic equation.

Reason : Any equation of the form ax^{2} + bx + c = 0 where a ≠ 0 , is called a quadratic equation.

Detailed Solution for Assertion & Reason Test: Quadratic Equation - Question 10

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