31. Of the following cases, construction of which A is not possible?
(A) 7cm, 7cm, 13cm
(B) 10cm, 10cm, 20cm
(C) 5cm, 12cm, 14cm
(D) 3cm, 6cm, 7cm
Answer:
(B) 10cm, 10cm, 20cm
Explanation:
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the third side. In this case, 10 + 10 = 20, which is not greater than the third side (20), so this triangle cannot be constructed.
32. The needle of a needle clock at 3.10 form
(A) An acute angle
(B) An obtuse angle
(C) A right angle
(D) A straight line
Answer:
(A) An acute angle
Explanation:
At 3:10, the minute hand is at the ‘2’ and the hour hand is slightly past the ‘3’. The angle formed between them is less than 90 degrees, making it an acute angle.
33. An arc is
(A) Any part of the radius
(B) Any part of the diameter
(C) Any part of cord
(D) Any part of the circumference
Answer:
(D) Any part of the circumference
Explanation:
In geometry, an arc is defined as any portion of the circumference of a circle.
34. Two angles are called adjacent angles if
(A) They have the same vertex
(B) They have equal measures
(C) They lie in two separate figures
(D) They have different vertices
Answer:
(A) They have the same vertex
Explanation:
A key condition for angles to be adjacent is that they must share a common vertex and a common side.
35. The diameter of a circle whose radius is 7cm, is
(A) 21cm
(B) 44cm
(C) 3.5cm
(D) 14cm
Answer:
(D) 14cm
Explanation:
The diameter of a circle is twice its radius (d = 2r). Therefore, the diameter is 2 × 7 cm = 14 cm.
