A man standing on a ship approaching the port towards the lighthouse is observing the top of the lighthouse. In 10 minutes, the angle of elevation of the top of the lighthouse changes from α to β. Then :

1. α > β

2. α < β

3. α = β

4. α ≤ β

Assertion (A) : The difference in class marks of the modal class and the median class of the following frequency distribution table is 0.

Reason (R) : Modal class and median class are always the same for a given frequency distribution.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. Both A and R are true.

Ankit has the option of investing in company A, where 7%, ₹ 100 shares are available at ₹ 120 or in company B, where 8%, ₹ 1000 shares are available at ₹ 1620.

Assertion (A) : Investment in Company A is better than Company B.

Reason (R) : The rate of income in Company A is better than in Company B.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is false, but R is true.

4. Both A and R are false.

Assertion (A) : x³ + 2x² - x - 2 is a polynomial of degree 3.

Reason (R) : x + 2 is a factor of the polynomial.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. Both A and R are true.