Board Paper of Class 10 2012 Maths (SET 3)  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 length of shadow of a tower on the plane ground is times the height of the tower.
The angle of elevation of sun is:
A. 45°
B. 30°
C. 60°
D. 90°
 Question 2
If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is:
A. 34
B. 26
C. 17
D. 14
VIEW SOLUTION
 Question 3
If the radius of the base of a right circular cylinder is halved, keeping the height the same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is:
A. 1 : 2
B. 2 : 1
C. 1 : 4
D. 4 : 1
 Question 4
Two dice are thrown together. The probability of getting the same number on both dice is:
A.
B.
C.
D.
 Question 5
The coordinates of the point P dividing the line segment joining the points A (1, 3) and B (4, 6) in the ratio 2 : 1 are:
A. (2, 4)
B. (3, 5)
C. (4, 2)
D. (5, 3)
 Question 6
If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (−2, 5), then the coordinates of the other end of the diameter are:
A. (−6, 7)
B. (6, −7)
C. (6, 7)
D. (−6, −7)
VIEW SOLUTION
 Question 7
 Question 8
If 1 is a root of the equations ay^{2} + ay + 3 = 0 and y^{2} + y + b = 0 then ab equals:
A. 3
B.
C. 6
D. −3
 Question 9
In Fig. 1, the sides AB, BC and CA of a triangle ABC, touch a circle at P, Q and R respectively. If PA = 4 cm, BP = 3 cm and AC = 11 cm, then the length of BC (in cm) is:
A. 11
B. 10
C. 14
D. 15
 Question 10
In Fig 2, a circle touches the side DF of ΔEDF at H and touches ED and EF produced at
K and M respectively. If EK = 9 cm, then the perimeter of ΔEDF (in cm) is:
A. 18
B. 13.5
C. 12
D. 9

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