(i) Line segment<\/strong><\/p>\n\n\n\n (ii) Collinear points<\/strong><\/p>\n\n\n\n (iii) Parallel lines<\/strong><\/p>\n\n\n\n (iv) Intersecting lines<\/strong><\/p>\n\n\n\n (v) Concurrent lines<\/strong><\/p>\n\n\n\n (vi) Ray<\/strong><\/p>\n\n\n\n (vii) Half-line<\/strong><\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i)<\/strong> Line segment: The part of a line that connects two points or we can say that a shortest distance between the two points. A line segment is one-dimensional.<\/p>\n\n\n\n Here AB is a line segment.<\/p>\n\n\n\n (ii)<\/strong> Collinear points: Two or more points are said to be collinear if all the points lie on same line.<\/p>\n\n\n\n (iii)<\/strong> Parallel lines : Two lines in a plane are said to be parallel lines if they do not intersect each other.<\/p>\n\n\n\n Here l and m are parallel lines.<\/p>\n\n\n\n (iv)<\/strong> Intersecting lines: Two lines are intersecting if they have a common point. The common point is known as point of intersection.<\/p>\n\n\n\n Here l and M are intersecting lines. And P is point of intersection.<\/p>\n\n\n\n (v)<\/strong> Concurrent lines: Two or more lines are said to be concurrent if there is a point which lies on all of them.<\/p>\n\n\n\n Here l, m and n are concurrent lines.<\/p>\n\n\n\n (vi)<\/strong> Ray: A straight line extending from a point indefinitely in one direction only.<\/p>\n\n\n\n Here OA is a ray.<\/p>\n\n\n\n (vii)<\/strong> Half-line: If A, B. C be the points on a line l, such that A lies between B and C, and we delete the point A from line l, the two parts of l that remain are each called a half-line.<\/p>\n\n\n\n Question 2:<\/strong><\/p>\n\n\n\n (i) How many lines can pass through a given point?<\/strong><\/p>\n\n\n\n (ii) In how many points can two distinct lines at the most intersect?<\/strong><\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i) Infinitely many<\/p>\n\n\n\n (ii) One<\/p>\n\n\n\n Question 3:<\/strong><\/p>\n\n\n\n (i) Given two points P and Q. Find how many line segments do they determine.<\/p>\n\n\n\n (ii) Name the line segments determined by the three collinear points P, Q and R.<\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i) One<\/p>\n\n\n\n (ii) PQ, QR, PR<\/p>\n\n\n\n Question 4: Write the truth value (T\/F) of each of the following statements:<\/strong><\/p>\n\n\n\n (i) Two lines intersect in a point.<\/strong><\/p>\n\n\n\n (ii) Two lines may intersect in two points.<\/strong><\/p>\n\n\n\n (iii) A segment has no length.<\/strong><\/p>\n\n\n\n (iv) Two distinct points always determine a line.<\/strong><\/p>\n\n\n\n (v) Every ray has a finite length.<\/strong><\/p>\n\n\n\n (vi) A ray has one end-point only.<\/strong><\/p>\n\n\n\n (vii) A segment has one end-point only.<\/strong><\/p>\n\n\n\n (viii) The ray AB is same as ray BA.<\/strong><\/p>\n\n\n\n (ix) Only a single line may pass through a given point.<\/strong><\/p>\n\n\n\n (x) Two lines are coincident if they have only one point in common<\/strong><\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i) <\/strong>False<\/p>\n\n\n\n (ii) <\/strong>False<\/p>\n\n\n\n (iii) <\/strong>False<\/p>\n\n\n\n (iv) <\/strong>True<\/p>\n\n\n\n (v) <\/strong>False<\/p>\n\n\n\n (vi) <\/strong>True<\/p>\n\n\n\n (vii) <\/strong>False<\/p>\n\n\n\n (viii) <\/strong>False<\/p>\n\n\n\n (ix) <\/strong>False<\/p>\n\n\n\n (x) <\/strong>False<\/p>\n\n\n\n Question 5: In the below figure, name the following:<\/strong><\/p>\n\n\n\n (i) Five line segments<\/strong><\/p>\n\n\n\n (ii) Five rays<\/strong><\/p>\n\n\n\n (iii) Four collinear points<\/strong><\/p>\n\n\n\n (iv) Two pairs of non\u2013intersecting line segments<\/strong><\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i) <\/strong>Five line segments AB, CD, AC, PQ. DS<\/p>\n\n\n\n (ii) <\/strong>Five rays :<\/p>\n\n\n\n (iii) <\/strong>Four collinear points. C, D, Q, S<\/p>\n\n\n\n (iv) <\/strong>Two pairs of non\u2013intersecting line segments AB and CD, PB and LS.<\/p>\n\n\n\n Question 6: Fill in the blanks so as to make the following statements true:<\/strong><\/p>\n\n\n\n (i) Two distinct points in a plane determine a _____________ line.<\/strong><\/p>\n\n\n\n (ii) Two distinct ___________ in a plane cannot have more than one point in common.<\/strong><\/p>\n\n\n\n (iii) Given a line and a point, not on the line, there is one and only _____________ line which passes through the given point and is _______________ to the given line.<\/strong><\/p>\n\n\n\n (iv) A line separates a plane into _________ parts namely the __________ and the _____ itself.<\/strong><\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i) <\/strong>unique<\/p>\n\n\n\n (ii) <\/strong>lines<\/p>\n\n\n\n (iii) <\/strong>perpendicular, perpendicular<\/p>\n\n\n\n (iv) <\/strong>three, two half planes, line.<\/p>\n\n\n\n Question 1: How many least number of distinct points determine a unique line?<\/strong><\/p>\n\n\n\n Solution<\/strong>: Two<\/p>\n\n\n\n Question 2: How many lines can be drawn through both the given points?<\/strong><\/p>\n\n\n\n Solution<\/strong>: One<\/p>\n\n\n\n Question 3: How many lines can be drawn through a given point?<\/strong><\/p>\n\n\n\n Solution<\/strong>: Infinite<\/p>\n\n\n\n Question 4: In how many points two distinct lines can intersect?<\/strong><\/p>\n\n\n\n Solution<\/strong>: One<\/p>\n\n\n\n Question 5: In how many points a line, not in a plane, can intersect the plane?<\/strong><\/p>\n\n\n\n Solution<\/strong>: One<\/p>\n\n\n\n Question 6: In how many points two distinct planes can intersect?<\/strong><\/p>\n\n\n\n Solution<\/strong>: Infinite<\/p>\n\n\n\n Question 1: Define the following terms.<\/strong><\/p>\n\n\n\n (i) Line segment<\/strong><\/p>\n\n\n\n (ii) Collinear points<\/strong><\/p>\n\n\n\n (iii) Parallel lines<\/strong><\/p>\n\n\n\n (iv) Intersecting lines<\/strong><\/p>\n\n\n\n (v) Concurrent lines<\/strong><\/p>\n\n\n\n (vi) Ray<\/strong><\/p>\n\n\n\n (vii) Half-line<\/strong><\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i)<\/strong> Line segment: The part of a line that connects two points or we can say that a shortest distance between the two points. A line segment is one-dimensional.<\/p>\n\n\n\n Here AB is a line segment.<\/p>\n\n\n\n (ii)<\/strong> Collinear points: Two or more points are said to be collinear if all the points lie on same line.<\/p>\n\n\n\n (iii)<\/strong> Parallel lines : Two lines in a plane are said to be parallel lines if they do not intersect each other.<\/p>\n\n\n\n Here l and m are parallel lines.<\/p>\n\n\n\n (iv)<\/strong> Intersecting lines: Two lines are intersecting if they have a common point. The common point is known as point of intersection.<\/p>\n\n\n\n Here l and M are intersecting lines. And P is point of intersection.<\/p>\n\n\n\n (v)<\/strong> Concurrent lines: Two or more lines are said to be concurrent if there is a point which lies on all of them.<\/p>\n\n\n\n Here l, m and n are concurrent lines.<\/p>\n\n\n\n (vi)<\/strong> Ray: A straight line extending from a point indefinitely in one direction only.<\/p>\n\n\n\n Here OA is a ray.<\/p>\n\n\n\n (vii)<\/strong> Half-line: If A, B. C be the points on a line l, such that A lies between B and C, and we delete the point A from line l, the two parts of l that remain are each called a half-line.<\/p>\n\n\n\n Question 2:<\/strong><\/p>\n\n\n\n (i) How many lines can pass through a given point?<\/strong><\/p>\n\n\n\n (ii) In how many points can two distinct lines at the most intersect?<\/strong><\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i) Infinitely many<\/p>\n\n\n\n (ii) One<\/p>\n\n\n\n Question 3:<\/strong><\/p>\n\n\n\n (i) Given two points P and Q. Find how many line segments do they determine.<\/p>\n\n\n\n (ii) Name the line segments determined by the three collinear points P, Q and R.<\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i) One<\/p>\n\n\n\n (ii) PQ, QR, PR<\/p>\n\n\n\n Question 4: Write the truth value (T\/F) of each of the following statements:<\/strong><\/p>\n\n\n\n (i) Two lines intersect in a point.<\/strong><\/p>\n\n\n\n (ii) Two lines may intersect in two points.<\/strong><\/p>\n\n\n\n (iii) A segment has no length.<\/strong><\/p>\n\n\n\n (iv) Two distinct points always determine a line.<\/strong><\/p>\n\n\n\n (v) Every ray has a finite length.<\/strong><\/p>\n\n\n\n (vi) A ray has one end-point only.<\/strong><\/p>\n\n\n\n (vii) A segment has one end-point only.<\/strong><\/p>\n\n\n\n (viii) The ray AB is same as ray BA.<\/strong><\/p>\n\n\n\n (ix) Only a single line may pass through a given point.<\/strong><\/p>\n\n\n\n (x) Two lines are coincident if they have only one point in common<\/strong><\/p>\n\n\n\n Solution:<\/strong><\/p>\n\n\n\n (i) <\/strong>False<\/p>\n\n\n\n (ii) <\/strong>False<\/p>\n\n\n\n (iii) <\/strong>False<\/p>\n\n\n\n (iv) <\/strong>True<\/p>\n\n\n\n (v) <\/strong>False<\/p>\n\n\n\n (vi) <\/strong>True<\/p>\n\n\n\n (vii) <\/strong>False<\/p>\n\n\n\n (viii) <\/strong>False<\/p>\n\n\n\n (ix) <\/strong>False<\/p>\n\n\n\n (x) <\/strong>False<\/p>\n\n\n\n![\"\"](\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-class-9-maths-chapter-7-ex-7-1-solution.png\" "\\"RD")
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\n\n\n\nExercise VSAQs Page No: 7.9<\/h4>\n\n\n\n
Exercise 7.1 Page No: 7.8<\/h4>\n\n\n\n
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