Assertion (A): Using the information in the given figure, we get : ∠PQR = ∠PSR = 90°

Reason (R):

By SSS, △PQR = △PSR
⇒ ∠PQR = ∠PSR
Since, ∠PQR + ∠PSR ≠ 180°
∴ ∠PQR = ∠PSR ≠ 90°

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): A, B and C are three points. If AB = 8 cm, BC = 12 cm and AC = 25 cm. Points A, B and C do not form triangle ABC.

Reason (R):

AB + BC = 8cm + 12 cm = 20 cm
and AC = 25 cm
∴ AB + BC ≯ AC

Points A, B and C do not form triangle ABC.

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): Using the information in the given figure, we get CE : EA = 5:3.

Reason (R): Since, ∠ADE = ∠ABC = 90°

so, $\dfrac{CE}{EA} = \dfrac{BD}{AD} = \dfrac{8-5}{5} = \dfrac{3}{5}$

⇒ CE : EA = 3 : 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.

Assertion (A): Using the information in the given figure, we have PQ = 10 cm.

Reason (R): In right-triangle DAB, DB = 20 cm.

$\text{PQ} =\dfrac{1}{2}\text{BD}=\dfrac{1}{2}\times 20 \text{cm}= 10 \text{cm}$

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.