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Euclidean Geometry

Match the fol...

Question

Match the following columns.

Column I Column II

(a) How many lines can be drawn through one given point? (p) One only

(b) How many lines can be drawn through two given points? (q) Infinitely many

(c) How many end-points does a line $\overset{\leftrightarrow}{A B}$ have? (r) Two only

(d) How many end-points does a line segment $A B$ have? (s) None

(a) .......,
(b) .......,
(c) .......,
(d) .......,

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Solution

Column I Column II

(a) How many lines can be drawn through one given point? (q) Infinitely many

(b) How many lines can be drawn through two given points? (p) One only

(c) How many end-points does a line $\overset{\leftrightarrow}{A B}$ have? (s) None

(d) How many end-points does a line segment $A B$ have? (r) Two only

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Similar questions

Q. Match the following columns:

Column I	Column II
(a) A line segment has a	(p) Infinitely many
(b) A ray $\underset{B A}{\to}$ has the end point	(q) definite length
(c) How many lines can pass through a given point?	(r) B
(d) How many lines can pass through two given points?	(s) Only one

(a) ........
(b) ........
(c) ........
(d) ........

Q. Match the following columns:

Column I	Column II
(a) Any line parallel to the x-axis is	(p) 3
(b) Any line parallel to the y-axis is	(q) y = mx
(c) Any line passing through the origin is	(r) x = k
(d) If the point (−2, 2) lies on the line ax + 4y = 2, then a =	(s) y = k

(a) ......,
(b) ......,
(c) ......,
(d) ......,

Q. (i) How many lines can be drawn through a given point?
(ii) How many lines can be drawn through two given points?
(iii) At how many points can two lines at the most intersect?
(iv) If A, B and C are three collinear points, name all the line segments determined by them.

Q. Match the following statements:

Column A		Column B
i	Line segment has	a	at a point
ii	Two segments may intersect	b	if they have equal lengths
iii	Two segments are congruent	c	two end-point
iv	Line segment is	d	portion of a line

Q. Match the following columns:

Column I	Column II
(a) The point A(−3, 0) lies on	(p) y-axis
(b) The point B(−5, −1) lies in quadrant	(q) IV
(c) The point C(2, −3) lies in quadrant	(r) III
(d) The point D(0, −6) lies on	(s) x-axis

(a) ......,
(b) ......,
(c) ......,
(d) ......,

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