86. If a triangle is similar to another triangle, then their corresponding angles are:
(a) Different
(b) Equal
(c) Complementary
(d) Supplementary
Answer:
(b) Equal
Explanation:
By definition, two triangles are similar if their corresponding angles are exactly equal and their corresponding sides are proportional.
87. The mid-point of the line segment joining (2, 3) and (4, 7) is:
(a) (3, 5)
(b) (2, 4)
(c) (4, 6)
(d) (3, 4)
Answer:
(a) (3, 5)
Explanation:
The midpoint formula is $, ). Applying this: and .
88. A tangent to a circle touches it at:
(a) Two points
(b) One point
(c) Three points
(d) Infinitely many points
Answer:
(b) One point
Explanation:
A tangent is defined as a straight line that touches the circle at exactly one single point, known as the point of tangency.
89. The probability of an impossible event is:
(a) 0
(b) 1
(c) 0.5
(d) Not defined
Answer:
(a) 0
Explanation:
By definition in probability theory, an event that cannot possibly occur has a probability of exactly 0.
90. The HCF of two consecutive even numbers is always:
(a) 1
(b) 2
(c) 4
(d) None of these
Answer:
(b) 2
Explanation:
Let two consecutive even numbers be and ( = ). Since and are consecutive integers, they are co-prime. The highest common factor they share is the multiplier 2.
