UP Board - Class 12 (Intermediate - Board Exam) 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): 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.

'अवकल समीकरण (कोटि व घात, चरों के पृथक्करण, रैखिक अवकल समीकरण)' के संदर्भ में कौन-सा गणितीय संबंध सत्य है?

Refer to the Case Study 'Case Study: Optical Fibers and Total Internal Reflection in Medical Endoscopy' to answer:

In clinical medicine, why are coherent fiber bundles used in flexible endoscopes rather than non-coherent bundles?

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 aqueous solution of pure glucose does not conduct electric current.

Reason (R): Glucose is a covalent molecular compound that does not dissociate into free mobile ions in water.

Refer to the Case Study 'Case Study: Optical Fibers and Total Internal Reflection in Medical Endoscopy' to answer:

What essential conditions must be satisfied for total internal reflection to occur within the optical fiber?

'हमारा परिवेश' विषय के अनुसार, 'The Last Lesson (Alphonse Daudet)' का मुख्य उद्देश्य क्या है?

'निश्चित समाकलन (गुणधर्म एवं मूल्यांकन)' के संदर्भ में कौन-सा गणितीय संबंध सत्य है?

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): 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 $\text{Perpendicular}/\text{Hypotenuse} \le 1$.