Assertion (A): One pair of opposite sides of a parallelogram are 15 cm each. If the distance between other pair of opposite sides is 8 cm, then area of the parallelogram = 120 cm².

Reason (R): Area of parallelogram = Base x Corresponding height

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): Two circles touch each other externally. The sum of their areas is 74π cm² and distance between their centres is 12 cm. Then difference between their radii is 2 cm.

Reason (R): When two circles touch each other internally, then two centres and point of contact lie on the same line and distance between their centres equals to the difference between two radii.

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): The internal area of cross-section of a pipe is 21 cm². Water runs through this pipe at a speed of 5 km/h. The volume of water that runs through the pipe in 2 minutes = 21 cm² x 5 km/h x 2 minutes

Reason (R): The volume of water that runs through the pipe in 2 minutes = area of cross-section in cm² x speed of water through it in cm/s x time in seconds

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): If 5 sin A = 4 cos A, the value of tan A = $\dfrac{4}{5}$.

Reason (R): 5 sin A = 4 cos A

⇒ $\dfrac{sin A}{cos A}=\dfrac{4}{5}$ ⇒ tan A = $\dfrac{4}{5}$

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.