Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 15
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33Q. NO.
VALUE POINTS
Marks
SECTION C
Q21. No Figure no marks
Correct, Fig. given, To prove and Construction
½ x 4=2
Correct Proof
2
∠
∠
Proof : 2
APB =
AOB
½
∠
(
AOB < 180°)
Fig. ½
∠
Ü
APB < 90°
½
½
Q22. No figure no marks
correct fig, given, to prove, construction
2 marks (½each)
correct proof
2
(ii) Proof Let side of square = a cm ∴ diagonal = œ 2a cm
½
∆ APD ∆ A QC (Equilateral)
fig. ½
area ∆ APD
AD²
∴
=
½
area ∆ AQC
AC²
1
=
½
2
Q23. Let Tower AB = 60 m and Building be DC
Correct figure
1
In ∆ ADB ------
AB
= tan 60°
1
BD
60
∴ BD =
= 20œ 3 m
1
œ 3
∴ CP = 20œ 3m
½
Again in ∆ ACP---------
AP
= tan 30°
1
CP
Ü AP = 20m
½
Height of Building = CD = PB = AB — AP
= 60 — 20
= 40 m
1
150
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