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Condition for Two Lines to Be Parallel

(1)Things whi...

Question

(1)Things which are three times of the same thing are :
(A)equal to each other
(B)not equal to each other
(C)half of the same thing
(D)double of the same thing
(2)Two distinct lines l and m cannot have
(A)any point in common
(B)one point in common
(C)two points in common
(D)none of the above
(3)Through two points
(A)no line can be drawn
(B)a unique line can be drawn
(C)more than one line can be drawn
(D)none of the above

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Solution

The solution are as follows:

1(d) double of the same thing.

2 (b) one point in common.

3(b) a unique line can be drawn.

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Similar questions

Q. Which of the following statements are true?
(i) A line segment has no definite length.
(ii) A ray has no end-point.
(iii) A line has a definite length.
(iv) A line

\overset{\leftrightarrow}{A B}

is same as line

\overset{\leftrightarrow}{B A}

\underset{A B}{\to}

\underset{B A}{\to}

.
(vi) Two distinct points always determine a unique line.
(vii) Three lines are concurrent if they have a common point.
(viii) Two distinct lines cannot have more than one point in common.
(ix) Two intersecting lines cannot be both parallel to the same line.
(x) Open half-line is the same thing as ray.
(xi) Two lines may intersect in two points.
(xii) Two lines are parallel only when they have no point in common.

Q. Assertion :Two distinct lines cannot have more than one point in common. Reason: Any number of lines can be drawn through one point.

Q. Write 'T' for true and 'F' for false in case of each of the following statements:
(i) Every point has a size.
(ii) A line segment has no length.
(iii) Every ray has a finite length.
(iv) The ray

\vec{A B}

is the same as the ray

\vec{B A}

.
(v) The line segment

\bar{A B}

is the same as the line segment

\bar{B A}

.
(vi) The line

\overset{\leftrightarrow}{A B}

is the same as the line

\overset{\leftrightarrow}{B A}

.
(vii) Two points A and B in a plane determine a unique line segment.
(viii) Two intersecting lines intersect at a point.
(ix) Two intersecting planes intersect at a point.
(x) If points A, B, C are collinear and points C, D, E are collineaer then the pints A,B, C, D, E are collinear.
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(xii) One and only one line can be drawn to pass through two given points.
(xiii) An unlimited number of lines can be drawn to pass through a given point.

Which of the following is a true statement ?

(a) Only a unique line can be drawn to pass through a given point.

(b) Infinitely many lines can be drawn to pass through two given points.

(c) If two circles are equal,then their radii are equal.

(d) A line has a definite length.

Q. Which of the following is a true statement?
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(c) If two circles are equal, then their radii are equal.
(d) A line has a definite length.

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