Maths | GJ Board | Grade 10 | 2016
Q. If sin2(3x+45)+cos2(2x+60)=1 then x= ...............
1. 30
2. 60
3. 15
4. 0
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Q. To get the terminating decimal expansion of a rational number pq. if q=2m5n then m and n must belong to .................
1. R
2. N{0}
3. N
4. Z
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Q. The probability of compliment event of impossible event is ..................
1. 0.5
2. 0.46
3. 0
4. 1
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Q. If O(0, 0) and P(-8, 0) then co-ordinates of its midpoint are .............
1. (-4, 0)
2. (0, -4)
3. (4, 0)
4. (0, 0)
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Q. In an isosceles right angled triangle ΔABC, r = ..................

1. 2
2. 1
3. 22
4. 112
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Q. (1, 0), (0, 1), (1, 1) are the co-ordinates of vertices of a triangle. The triangle is ............. triangle.
1. Isosceles
2. Obtuse angled
3. Acute angled
4. Equilateral
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Q. Find the probability of having 5 Sundays in the month of February in leap year 2004.
1. 0
2. 2/7
3. 1/7
4. 1
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Q. The ratio of the radii of two cones having equal heights is 2:3 then ratio of their volumes is ...................
1. 3:2
2. 9:4
3. 8:27
4. 4:9
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Q. From the graph the value of OA= ...................

1. 0
2. a2+b2
3. a2+b2
4. a+b
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Q. The graph of p(x)=5x+3, where x ε R is?
1. A parabola
2. A line
3. A ray
4. A line segment
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Q. To find the length of a ladder making an angle θ with wall ................. trigonometric ratio is used.
1. cosecθ
2. tanθ
3. none
4. cotθ
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Q. From given figure tan A.tan C equals to:

1. 2
2. 12
3. 2
4. 1
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Q. .................. is true for a tangent of a circle.
P: line intersect circle in one & only one point
Q: line and circle must be in same plane.
R: line passes from the centre of a circle.
1. Q and R
2. Only Q
3. P and Q
4. Only P
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Q. In ΔABC, D, E and F are midpoints of ¯¯¯¯¯¯¯¯AB, ¯¯¯¯¯¯¯¯BC and ¯¯¯¯¯¯¯¯AC respectively. If A(ΔABC)=40 then A(ΔDEF)= ..................

1. 10
2. 20
3. 403
4. 5
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Q. For polynomial p(x)=x24x+3, α+β= .................( where α and β are roots of polynomial.)
1. Positive fraction
2. Negative integer
3. Positive integer
4. Zero
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Q. In given figure, co-ordinates of foot of perpendicular P are ..............

1. (5, 0)
2. (-5, 1)
3. (-1, 0)
4. (0, -1)
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Q. If radius of circle is decreased by 10% then there is ................ decrease in its area.
1. 21%
2. 19%
3. 10%
4. 20%
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Q. The conjugate surd of 23 is ..................
1. 2(3)
2. 23
3. 3+2
4. 123
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Q. If cos245ocos230o=x.cos45osin45o then x= ................
1. -1/2
2. 2
3. 1/2
4. 3/4
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Q. For the zeroes α & β of polynomial P(x)=ax2+bx+c, 1α+1β= ....................
1. bc
2. ca
3. none
4. ba
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Q. Total area of the given closed figure will be ................. square units.

1. 45
2. 40
3. 31
4. 25
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Q. In given figure, the minimum distance to reach from point "C" to point "A" will be ....................

1. a2
2. 2
3. 2
4. 2a
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Q. If the circumference of base of a hemisphere is 2π then it volume is ................... cm3.
1. 2π3r3
2. 8π3
3. π12
4. 2π3
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Q. The graph of polynomial P(x)=axb, where a0;a, bεR intersect intersects Xaxis at
1. (ba, 0)
2. (0, ba)
3. (ba, 0)
4. (ab, 0)
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Q. Select the correct option given below:
From the figure, AB = ...................

1. 8
2. 12
3. 4
4. 16
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Q. If the ratio of the height of tower and the length of its shadow is 1 : 3, then the angle of elevation of the sum has measure ................
1. 60o
2. 45o
3. 30o
4. 75o
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Q. In the given cylinder the stick of maximum length ................. can be kept inside it.

1. 10
2. 12
3. 13
4. 17
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Q. In the figure, from one handkerchief from four corners, sectors P, Q, R, S each of 2 cm are cut, whose sum is P + Q + R + S = A1 and a circle of diameter 4 cm from the centre is cut whose area is A2, then .................... is possible

1. A1A
2. A1<A2
3. A1=A2
4. A1>A2
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Q. Formula to find area of sector is .............
1. 12rl
2. πr2θ180
3. πrθ360
4. πr2
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Q. From the given figure AD = ....................

1. 3
2. 2
3. 23
4. 32
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