Page 219 - Maths Class 06

EXERCISE 3.4 9. Eight points, twelve line segments and six planes
10. (a) (b) (c)
1. (a) 5 (b) 6 (c) 6 (d) 6 A
(e) 1 (f) 12 (g) 9 (h) 12 P A Q B
(i) 6 (j) 34 (k) 81 (l) 18 X M Y A l
2. (a) 3 (b) 4 (c) 15 (d) 7 B
(e) 18 (f) 9 11. (a) False (b) True
EXERCISE 3.5 (c) True (d) True
1. (a) 36 (b) 225 (c) 240 (d) 600 12. (a) Lines l and q (b) Lines l and p
(e) 300 (f) 720 (c) Lines m q, and r
2. (a) 1260 (b) 5760 EXERCISE 4.2
3. (a) 31 ; 2418 (b) 35 ; 16170 1. (a) Ð AOB (b) Ð XZY (c) ÐPQR (d) ÐDEF
4. No ; HCF should be a fac tor of LCM
2. M
5. 435 R
6. No ; for the three num bers 5, 10 and 15, the HCF is 5 N
and LCM is 30. Here, HCF ´ LCM = 5 ´ 30 = 150 ;
Pro duce of num bers = 5 10 15 = 750 S T P
´
´
EXERCISE 3.6 3. Ð AOB, Ð AOC, Ð AOD, ÐBOC, ÐBOD, ÐCOD
4. (a) P T Z, , (b) X Y R B, , ,
1. 9660, 10080 2. 99960 3. 20 days
5. D AEB, DBEC, DCED, DDEA, D ABC, D ADB, DBCD,
4. 607 5. 50 litres
DCDA
6. 52 stu dents, 14 buses 7. 45 cm
6. (a) A B C M N, , , , (b) P R Z, , (c) S Q T, ,
8. 12 9. 69 m 30 cm 10. 8 books
7. X 8. A
11. 5460 tiles 12. 6.5 km
MCQs R Q F E
1. (a), 2. (b), 3. (c), 4. (b), 5. (c), 6. (c), 7. (d), 8. (b), 9. (d), P
Y Z
10. (b). B D C
EXERCISE 4.1 EXERCISE 4.3
1. (a) A line segment (b) A ray 1. (d), (h), (i)
(c) A line (d) A ray (e) A line segment 2. AB BC CD, , and DA are the four sides; ÐA, ÐB, ÐC and
2. (a) A B C D E, , , , and F are points ; and AB BC CD, , , ÐD are the four angles; and AC BD, are the two
DE EF, and FA are line segments. diagonals
(b) P Q R S, , , and Tare points ; and PQ QR RS SP, , , ,
3. (a) AB BC, (b) Ð A, ÐB
ST TQ PT TR SQ, , , , and PR are line segments. (c) Ð A, ÐC (d) AB DC,
(c) A B C D E F G, , , , , , and Hare points ; and AB BF, , 4. (a) F H, (b) A B C D I M Y, , , , , ,
AE EF DC CG DH HG AD BC EH, , , , , , , , and FG are (c) E U G, ,
line segments. 5. (a) Never (b) Sometimes
3. (a) Seven (b) Four (c) Always (d) Always
(c) Seven (d) Twelve 6. M arc PMQ
4. (a) Line l (b) Line AB P Q
(c) Line P (d) Line AB and CD a chord radius
5. Do it yourself. X Y
C
6. Yes; countless number of lines passing through O can
be drawn. a diameter Semi-circle XNY
7. No, we cannot draw more than one line passing N
through Pand Q. 7. (a) The centre (b) Chords, largest chord
,
)
,
)
,
,
8. (AB DC ), (AD BC , (GH DB ), (DB EF ), (GH EF are (c) Radius (d) Diameter
,
)
,
pairs of parallel lines ; and (AC ,GH ),(AC DB ,
8. (a) AXB (b) AYB (c) PYQ
,
(AC EF ), (AD GH ), (AB GH ), (AD DB , (d) Region AXB, (e) Region OBQ
)
,
,
,
(AB DB ), (DC EF ), (BC EF ) are pair of intersecting 9. 44 cm
,
,
,
lines. 10. 42 cm
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