Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 24
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33MATHEMATICS
Marking Scheme II
Q. No.
Value Points
Marks
SECTION A
Q1.
Forming the table of values :
x
1
0
2
5x —y = 7 Ü
½
y
-2
-7
3
x
-1
0
2
x — y +1 = 0 Ü
½
y
0
1
3
Graph of lines
1½
Getting the solution x = 2 , y = 3
½
Q2.
Let a be the first term and d, the common difference
1
∴ Third term = t
= a + 2d = 16 .................................................(i)
3
= 12 or (a+6d) — (a+4d) = 12 Ü d = 6 ...................(ii)
Also, t
— t
½+½
7
5
From (i) and (ii), getting a = 4
½
∴ The arithmetic progression is 4, 10, 16, 22, 28..................
½
Q3.
Correct Figure
½
Showing ∆ DCA ~ ∆ DAB
AD
BD
∴
=
1
CD
AD
Ü AD² = BD . CD
½
Q4.
Let the instalment be Rs x
Present values of 1st, 2nd and 3rd instalments are
2
3
4
4
4
( )
( )
are
x,
x,
x
1½
5
5
5
4
4
16
∴ ∴ ∴ ∴ ∴
]
x [1 +
+
= 48800
1
5
5
25
OR x = 25000
∴ ∴ ∴ ∴ ∴
each instalment = Rs. 25000
½
159
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