Gujarat Board - Class 10 (GSEB SSC) previous year questions (PYQ)

ગુજરાતનો વારસો અને મેળાઓ: 'A Beautiful Mind' સાથે જોડાયેલ ઐતિહાસિક કે ભૌગોલિક મહત્વ શું છે?

અપૂર્ણાંક અને દશાંશ: 'વર્તુળ (Circles - સ્પર્શકના પ્રમેયો)' માં સમચ્છેદી અપૂર્ણાંકોની સરખામણી કેવી રીતે થાય?

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 $D = b^2 - 4ac = 0$.

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:

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:

What measure of financial compensation did the Supreme Court establish in the M.C. Mehta Oleum Gas case?

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?

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.

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

Assertion (A): Work done by an electrostatic field in moving a test charge along a closed path is zero.

Reason (R): The electrostatic Coulomb force is a conservative force whose line integral around any closed loop vanishes identically.

[SAT] What is the commercial unit of electrical energy consumed in Indian households?

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

Assertion (A): The distance of point $P(3, 4)$ from the origin $(0, 0)$ is 5 units.

Reason (R): The distance of any point $(x, y)$ from origin is given by the Pythagorean metric $\sqrt{x^2 + y^2}$.

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): 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 $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$.