A ladder reaches a window 12 m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 9 m high. If the length of the ladder is 15 m, then the width of the street is

1. 30 m

2. 24 m

3. 21 m

4. 18 m

Consider the following two statements:

Statement 1: The area of a square whose diagonal is 6 cm is 36 cm².

Statement 2: A diagonal of a square divides it into two right angled isosceles triangle.

Which of the following is valid?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and Statement 2 is false.

4. Statement 1 is false, and Statement 2 is true.

Assertion (A): If triangle ABC is isosceles with AC = BC and AB² = 2AC², then triangle ABC is right angled.

Reason (R): If in a triangle ABC, we have AB² = 2AC² then we can conclude that it is right angled triangle.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Assertion (A): A triangle with sides 2 cm, 3 cm, 4 cm is not a right angled triangle.

Reason (R): A triangle with sides 2 cm, 3 cm, 4 cm is a scalene triangle.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).