Mathematics-Basic Geometry [NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension]: Questions 23 - 26 of 42
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Question 23
Question MCQ▾
If AD, BE and CF are the medians of a ∆ ABC, then the current relation between the sum of the squares of sides to the sum of the squares of median is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | All of the above |
Question 24
Question MCQ▾
AB and CD are two parallel lines. The points B and C are joined such that ∠ ABC = 65°. A line CE is drawn making angle of 35° with the line CB, EF is drawn parallel to AB, as show in figure, then ∠ CEF is equal to
Choices
Choice (4) | Response | |
---|---|---|
a. | 145° | |
b. | 150° | |
c. | 155° | |
d. | 160° |
Question 25
Question MCQ▾
Let ABCD be a trapezium in which and let E be the mid-point of AD. Let F be a point on BC such that . Then, consider the following statements.
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | F is the mid-point of BC | |
c. | Both a. and b. are correct | |
d. | None of the above |
Question 26
Question MCQ▾
S1and S2 are two circles on a plane with radius 4 cm and 2 cm, respectively and the distance between their centers is 3 cm. Which one of the following statements is true?
Choices
Choice (4) | Response | |
---|---|---|
a. | S1and S2intersect in two distinct points | |
b. | S1 and S2 touch each other externally | |
c. | S2lies entirely within the circle S1 | |
d. | S1 andS2 touch each other internally |