Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 10

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Q. NO.
VALUE POINTS
Marks
16
Q5.
Principal of 1st instalment = 1682 ÷ (1 +
) = Rs. 1450
1
100
2
( )
29
Principal of 2nd instalment = 1682 ÷
= Rs. 1250
1
25
Total Sum borrowed = Rs. 1450
+ Rs. 1250
= Rs. 2700
½
Interest Charged
= Rs. 3364 — Rs. 2700
½
= Rs. 664
Q6.
(x - 2) is a factor of x² +ax + b
∴ 4 + 2a + b = 0 Ü 2a + b = -4
1+1=2
also
a+b=1
Solving to get a = -5
b = 6
1
- (b² - ac) ± œ (b² - ac)² -4 (ab) (-bc)
Q7.
x =
½
2ab
- (b² - ac) ± œ (b² + ac)²
=
½
2ab
- (b² - ac) ± (b² + ac)
=
1
2ab
2ac
- 2b²
=
or
½
2ab
2ab
c
—b
=
or
½
b
a
OR
Let two postive numbers be x & y and x > y
∴ x² + y² = 208 .....................................(i)
x² = 18y ................................................(ii)
1
Putting the value of (ii) in (i)
y² + 18y - 208 = 0
1
Ü (y+26) ( y-8)=0
Ü y= -26 or y =8
½
Putting y = 8 in (ii) x = 12, x= -12 (false)
∴ x = 12, y = 8
½
145

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