Board Paper of Class 10 2011 Maths (SET 2)  Solutions
1. All questions are compulsory.
2. The question paper consists of 34 questions divided into four sections A, B, C and
D.
3. Section A contains 10 questions of 1 mark each, which are multiple choices type
questions, Section B contains 8 questions of 2 marks each, Section C contains 10 questions of 3 marks each, Section D contains 6 questions of 4 marks each.
4. There is no overall choice in the paper. However, internal choice is provided in one
question of 2 marks, 3 questions of 3 marks each and two questions of 4 marks each.
5. Use of calculators is not permitted.
 Question 1
The point P which divides the line segment joining the points A (2, −5) and B (5, 2) in the ratio 2:3 lies in the quadrant.
A. I
B. II
C. III
D. IV
VIEW SOLUTION
 Question 2
A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then the water level rises (in cm) by
A. 3
B. 4
C. 5
D. 6
VIEW SOLUTION
 Question 3
In figure 1, O is the centre of a circle, AB is a chord and AT is the tangent at A. If ∠AOB = 100°, then ∠BAT is equal to
A. 100°
B. 40°
C. 50°
D. 90°
VIEW SOLUTION
 Question 4
The roots of the equation x^{2} + x − p (p + 1) = 0, where p is a constant, are
A. p, p + 1
B. −p, p + 1
C. p, − (p + 1)
D. −p, − (p + 1)
VIEW SOLUTION
 Question 5
Which of the following can not be the probability of an event?
A. 1.5
B.
C. 25%
D. 0.3
VIEW SOLUTION
 Question 6
The midpoint of segment AB is the point P (0, 4). If the coordinates of B are (−2, 3) then the coordinates of A are
A. (2, 5)
B. (−2, −5)
C. (2, 9)
D. (−2, 11)
VIEW SOLUTION
 Question 7
In figure 2, PA and PB are tangents to the circle with centre O. If ∠APB = 60°, then ∠OAB is
A. 30°
B. 60°
C. 90°
D. 15°
VIEW SOLUTION
 Question 8
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 45°. The height of the tower (in metres) is
A. 15
B. 30
C.
D.
VIEW SOLUTION
 Question 9
In an AP, if a = − 10, n = 6 and a_{n} = 10, then the value of d is
A. 0
B. 4
C. −4
D.
VIEW SOLUTION
 Question 10
If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
A. 2 units
B. π units
C. 4 units
D. 7 units
VIEW SOLUTION

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