Page 38 - Ganit Kaushal

Sol. (a) l, m; p, q (b) l, p; l, q; l, n; m, p; m, q; m, n; n, p; n, q

(c) m, p, n; Point of concurrence is E (d) A, B, C; D, A, F; E, B, F
Ex 2. Use the adjacent figure to name:

(a) Five points (b) A line
(c) Four rays (d) Five line segments
Sol. (a) Five points: D, E, O, B and C

(b) A line: BD

(c) Four rays: OD ED OC OB
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(d) Five line segments: OD, OE, OC, OB, BE
Ex 3. Name the line given in the adjacent figure in all possible 12 ways by A B C D
choosing only two letters at a time from the four given.

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Sol. AB BC CD BA CB DC AD DA AC, CA BD DB
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Ex 4. Use the figure to name:
(a) Line(s) containing point E
(b) Line passing through A
(c) Line on which O lies
(d) Two pairs of intersecting lines

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Sol. (a) AE FE (b) AE (c) OC or CO (d) AE,EF; CO,AE
Ex 5. Name the line segments in the given figure. Which of the five marked M Q
points are on exactly one of the line segments? Which are on two of the R
line segments? (NCERT) P
L
Sol. The line segments are LM, MP, PQ, QR; L and R are on exactly one line segment LM and QR
respectively; M is on two line segments LM and MP; P is on two line segments MP and PQ; Q is on
two line segments PQ and QR.
Ex 6. Count the number of line segments drawn in each of the following figures and name them.
(a) A (b) T R
S
B D C P Q
Sol. (a) Six; Line segments: AB, BD, AD, DC, BC, and AC.
(b) Eight; Line segments: PQ, QR, PS, SR, PR, QS, ST, and QT.
Ex 7. Name the rays shown in the given figure. Is ‘T’ the starting point of each of these A
rays? (NCERT)

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Sol. The rays are TA TN TB NB; ‘T’ is not the starting point of one of these rays,
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namely NB . T N B
36 Mathematics-6