Board Paper of Class 10 2011 Maths (SET 1)  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 roots of the equation x^{2} − 3x − m (m + 3) = 0, where m is a constant, are
A. m, m + 3
B. − m, m + 3
C. m, − (m + 3)
D. −m, − (m + 3)
VIEW SOLUTION
 Question 2
If the common differences of an A.P. is 3, then a_{20} − a_{15} is
A. 5
B. 3
C. 15
D. 20
VIEW SOLUTION
 Question 3
In figure 1, O is the centre of a circle, PQ is a chord and PT is the tangent at P.
If ∠POQ = 70°, then ∠TPQ is equal to
A. 55°
B. 70°
C. 45°
D. 35°
 Question 4
In Figure 2, AB and AC are tangents to the circle with centre O such that
∠BAC = 40°. Then ∠BOC is equal to
A. 40°
B. 50°
C. 140°
D. 150°
 Question 5
The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
A. 8 a
B. 4 a
C. 2 a
D. 16 a
 Question 6
The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is
A. 4.2
B. 2.1
C. 8.4
D. 1.05
 Question 7
A tower stands vertically on the ground. From a point on the ground which is 25 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45°. Then the height (in meters) of the tower is
A.
B.
C. 25
D. 12.5
 Question 8
If is the midpoint of the linesegment joining the points A (−6, 5) and B(−2, 3), then the value of a is
A. −8
B. 3
C. −4
D. 4
 Question 9
If A and B are the points (−6, 7) and (−1, −5) respectively, then the distance
2AB is equal to
A. 13
B. 26
C. 169
D. 238
 Question 10
A card is drawn from a wellshuffled deck of 52 playing cards. The probability that the card will not be an ace is
A.
B.
C.
D.

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