Maharashtra Board - Class 9 previous year questions (PYQ)

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The quadratic equation $x^2 - 6x + 9 = 0$ has real and equal roots.

Reason (R): A quadratic equation $ax^2 + bx + c = 0$ has real and equal roots if and only if its discriminant $D = b^2 - 4ac = 0$.

A 2200 W electric geyser is operated on a 220 V domestic power supply. What is the current drawn and the suitable fuse rating?

Refer to the Case Study 'Case Study: Hazardous Enterprise and Supreme Court Doctrine of Absolute Liability' to answer:

Which Fundamental Right under Part III of the Constitution was invoked as the constitutional foundation for environmental protection?

Refer to the Case Study 'Case Study: Hazardous Enterprise and Supreme Court Doctrine of Absolute Liability' to answer:

Which statutory enactment was passed by the Indian Parliament following the Bhopal gas disaster and oleum gas leak?

Which device, organ, or reaction in daily life works on the principle of 'India: Events after 1960'?

Which device, organ, or reaction in daily life works on the principle of 'India: Events after 1960'?

In Maharashtra Class 10 Board exam, what is the core significance of 'Tourism, Transport and Communication'?

What is the fundamental scientific law or definition of 'Plastics and Rubber' in MSBSHSE SSC Science?

Refer to the Case Study 'Case Study: Hazardous Enterprise and Supreme Court Doctrine of Absolute Liability' to answer:

Which Fundamental Right under Part III of the Constitution was invoked as the constitutional foundation for environmental protection?

Refer to the Case Study 'Case Study: Hazardous Enterprise and Supreme Court Doctrine of Absolute Liability' to answer:

Which statutory enactment was passed by the Indian Parliament following the Bhopal gas disaster and oleum gas leak?

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The electrical conductivity of an intrinsic semiconductor increases with rise in temperature.

Reason (R): With increase in temperature, covalent bonds rupture, generating additional free conduction electrons and mobile holes.

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The Simon Commission was met with widespread nationwide boycotts and black flag protests upon landing in Bombay in 1928.

Reason (R): The British colonial government failed to appoint a single Indian representative to the seven-member Indian Statutory Commission.

Refer to the Case Study 'Case Study: Hazardous Enterprise and Supreme Court Doctrine of Absolute Liability' to answer:

What is the crucial legal distinction between the English rule of 'Strict Liability' and Indian 'Absolute Liability'?

Refer to the Case Study 'Case Study: Parabolic Cable Geometry in Civil Engineering Suspension Bridges' to answer:

Determine the parameter $c$ in the parabolic equation $y = ax^2 + c$ from the vertex information.

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): An agreement entered into without lawful consideration is void ab initio under Section 25 of the Indian Contract Act 1872.

Reason (R): Lawful consideration is a mandatory statutory pillar of contractual enforceability under the legal maxim *ex nudo pacto non oritur actio*.

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): A convex mirror is commonly used as a driver's rear-view mirror in automobiles.

Reason (R): A convex mirror always forms an erect, virtual, and diminished image, providing a much wider field of view.

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The value of $\sin\theta$ cannot exceed 1 for any real angle $\theta$.

Reason (R): In any right-angled triangle, the hypotenuse is the strictly longest side, ensuring the ratio $\text{Perpendicular}/\text{Hypotenuse} \le 1$.

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The square root of 2 ($\sqrt{2}$) is an irrational real number.

Reason (R): The square root of any positive prime integer is an irrational number.

Refer to the Case Study 'Case Study: Parabolic Cable Geometry in Civil Engineering Suspension Bridges' to answer:

What is the vertical height of the suspension cable at a horizontal distance of $25\text{ m}$ from the bridge center?

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): If two linear equations represent coincident lines, the system has infinitely many solutions.

Reason (R): Two lines $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ coincide when $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$.

Refer to the Case Study 'Case Study: Hazardous Enterprise and Supreme Court Doctrine of Absolute Liability' to answer:

What is the crucial legal distinction between the English rule of 'Strict Liability' and Indian 'Absolute Liability'?

Refer to the Case Study 'Case Study: Hazardous Enterprise and Supreme Court Doctrine of Absolute Liability' to answer:

Which statutory enactment was passed by the Indian Parliament following the Bhopal gas disaster and oleum gas leak?

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The electrical conductivity of an intrinsic semiconductor increases with rise in temperature.

Reason (R): With increase in temperature, covalent bonds rupture, generating additional free conduction electrons and mobile holes.

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The square root of 2 ($\sqrt{2}$) is an irrational real number.

Reason (R): The square root of any positive prime integer is an irrational number.