Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 12

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Q. NO.
VALUE POINTS
Marks
x
-3
-4
0
Q12. 2x — y +8 = 0
½
y
2
0
8
x
0
3
6
8x + 3y —24 = 0
½
y
8
0
-8
1+1=2
Correct graph of two lines with vertices
as (0, 8), (—4, 0) and (3, 0)
1
Q13. Correct Construction :
3 marks
Correct Measurement of radius :
1 mark
Q14. Let radius of base of cylinder = r cm.
22
∴ 2x
r = 88
7
Ü r = 14 cm
1
Again 2πrh + 2πr² = 6512 cm²
6512
∴ h =
-14 = 60 cm
88
22
Volume =
x 14 x 14 x 60
7
= 36960 cm³
Q15. L.H.S.
1
(
) (
)
sinθ + cosθ —1
sinθ + cosθ + 1
sinθ
cosθ
(sinθ + cosθ)²—1
=
1
.
sinθ
cosθ
2sinθ cosθ
=
= 2
1
.
sinθ
cosθ
L.H.S. = R.H.S.
1
147

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