In the given diagram, name the points(s) (a) In the interior of ∠DOE (b) In the exterior of ∠EOF (c) On ∠EOF
Solution (a) The point in the interior of ∠DOE is A (b) The point in the exterior of ∠EOF is C,... View Article
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Illustrate, if possible, each one of the following with a rough diagram: (a) A closed curve that is not a polygon. (b) An open curve made up entirely of line segments. (c) A polygon with two sides.
(a) The below figure is the closed figure but not a polygon (b) The below figure is an open curve... View Article
Draw any polygon and shade its interior.
The below figure is the polygon with interior shade
Draw rough diagrams to illustrate the following: (a) Open curve (b) Closed curve
(a) The below figure is the open curve (b) The below figure is the closed curve
Classify the following curves as (i) Open or (ii) Closed
Solution (a) The given curve is an open curve (b) The given curve is closed curve (c) The given curve... View Article
Consider the following figure of line MN. Say whether following statements are true or false in context of the given figure.
(a) Q, M, O, N, P are points on the line . (b) M, O, N are points on a... View Article
Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on . (b) and intersect at M. (c) Line l contains E and F but not... View Article
How many lines can pass through (a) one given point? (b) two given points?
(a) N number of countless lines can pass through a given point. (b) Only one line can pass through a... View Article
Use the figure to name: (a) Line containing point E. (b) Line passing through A. (c) Line on which O lies (d) Two pairs of intersecting lines.
Solution: (a) Line containing point E is (b) Line passing through A is (c) Line on which O lies is ... View Article
Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
Solution The lines are , , , , , , , , , , ,
Use the figure to name: (a) Five points (b) A line (c) Four rays (d) Five line segments
Solution (a) The five points are D, E, O, B and C (b) A line is (c) Four rays are \(\begin{array}{l}\overrightarrow{OD}, \overrightarrow{OB}, \overrightarrow{OC}, \overrightarrow{OE},\end{array}... View Article
HCF of co-prime numbers 4 and 15 was found as follows by factorisation: 4 = 2 × 2 and 15 = 3 × 5 since there is no common prime factor, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?
No. The answer is not correct. The correct answer is 1. Explanation Factors of 4 are 1, 2, 4. Factors... View Article
What is the HCF of two consecutive (a) numbers? (b) even numbers? (c) odd numbers?
Highest Common Factor is the largest common divisor or gcd of two or more positive integers, as the mathematics rules... View Article
If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately. (True or False)
The given statement is False 2 divides 14 but it does not divide 9 and 5
If a number exactly divides two numbers separately, it must exactly divide their sum. (True or False)
The given statement is True 2 divides 6 and 2 and it also divides 8 (6 + 2 = 8)
All numbers which are divisible by 8 must also be divisible by 4. (True or False)
The given statement is True 2 × 4 = 8. Hence, if a number is divisible by 8, it will also... View Article
All numbers which are divisible by 4 must also be divisible by 8. (True or False)
The given statement is False 36 is divisible by 4 but is not divisible by 8
If two numbers are co-primes, at least one of them must be prime. (True or False)
The given statement is False Since 15 and 32 are co-primes and also composite numbers
If a number is divisible by 9 and 10 both, then it must be divisible by 90. (True or False)
The given statement is True 9 × 10 = 90. Hence, if a number is divisible by both 9 and 10... View Article
A number is divisible by 18, if it is divisible by both 3 and 6. (True or False)
The given statement is False Since 24 is divisible by both 3 and 6 but is not divisible by 18
