Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 27

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Q. No.
Value Points
Marks
OR
Total no. of balls in the bag = 24
½
(i) Numbers of black balls = 7
7
∴ Required probability =
1
24
(ii) Number of balls which are not green = Total - green = 24 - 4 =20
1
20
5
∴ Required probability =
=
½
24
6
SECTION – B
2
2
Q11. (a-b)x + (a+b)y = a
-2ab-b
(i)
2
2
(a+b)x +(a+b)y = a
+b
(ii)
1
(i) — (ii) Ü — 2bx = — 2b(a+b)
Ü x = ( a+b)
2ab
substituting in (i) or (ii) to get y= —
1 ½
a+b
Q12. (x+3)(x-2) divides f(x)
2
∴ 2x
—3x+a has a factor (x—2)
1
2
∴ 2(2)
—3(2) + a = 0
8 — 6 + a = 0 Ü a = —2
1 ½
2
Similarly, (x + 3) divides 3x
+10x-b
½
2
∴ 3(—3)
—30 — b = 0
Ü b = —3
1
2
2
Q13. A+B = (2x+1)
+(2x—1)²
2(4x
+1)
1
=
2
2
4x
—1
4x
-1
2
2
(2x+1)
— (2x — 1)
8x
½
A — B =
=
2
2
4x
— 1
4x
-1
2
2
2
A+B
4x
+1
4x
—1
4x
+1
1
2
=2
x
=
A—B
4x
—1
8x
4x
Similarly, A—B
4x
½
=
2
A+B
4x
+1
∴ A+B
4x
(4x² + 1)² + 16x²
16x
4
+ 24x²+1
A—B
= 4x²+1
1
+
+
=
=
16x³ + 4x
4x²+1
A—B
A+B
4x
4x (4x² + 1)
162

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