Assertion (A): If 4 cos θ = 11 sin θ, the value of $\dfrac{11\text{cosθ} - 7 \text{sinθ}}{11 \text{cosθ} + 7 \text{sinθ}}=\dfrac{93}{149}$.

Reason (R): tan θ = $\dfrac{\text{sin θ}}{\text{cos θ}}$

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): For triangle ABC, sec $\Big(\dfrac{A+B}{2}\Big) = \text{cosec C}$.

Reason (R): sec (90° - θ) = cosec θ.

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 2 cos 3A = 1, A = 20°.

Reason (R): cos 3A = $\dfrac{1}{2}$ ⇒ 3A = 60° ⇒ A = 20°

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): Area of given rhombus = 10 cm x 10 cm = 100 cm²

Reason (R):

⇒ OA = $5\sqrt{3}$ cm
⇒ AC = 2 x $5\sqrt{3}$ cm = $10\sqrt{3}$ cm
⇒ OB = 5 cm
⇒ BD = 2 x 5 cm = 10 cm

Area of rhombus ABCD = AC x BD = 10 x 10 cm² = 100 cm²

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.