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1.Find the equation of the straight line passing through the point (3,2) and the perpendicular to the straight line joining the points (4,5) and (1,2)

 (A) x - y = 0 (B) x + y - 5 = 0 (C) x - y - 2 = 0

2.Find the point of intersection of the straight lines x - y = 3 and x + y = 5

 (A) (3,2) (B) (1,2) (C) (4,1)

3.Find the length of the chord of a circle of radius 3 cm subtending at the center angle of 144 °

 (A) 5.7066 cm (B) 10.7066 cm (C) 0.1266 cm

4.The tree stands vertically on the bank of a river. From a point on the another bank directly opposite to the tree, the angle of elevation of the top of the tree is 60 °. From the point 40m behind this point on the same bank, the angle of elevation of the top of a tree is 30 °. Find the height of the tree and the width of the river.

 (A) 15.05 m and 10 m (B) 12.23 m and 22 m (C) 14.64 m and 20 m

5.Find the range of the data 27,28,34,36,39,50

 (A) 12 (B) 50 (C) 32

6.A group of 100 candidates have their average height 163.8 cm with coefficient of variation 3.2%. What is the standard deviation of their height?

 (A) 5.24 (B) 1.24 (C) 1.36

7.An integer is chosen at random from 1 to 50.Find the probability that the number is not divisible by 5.

 (A) 2/5 (B) 1/5 (C) 4/5

8.The height of right circular cone is 7 cm greater than its radius.The slant height is 8 cm greater than its radius.Find the curved surface area of the cone.

 (A) 59 πcm 2 (B) 65 πcm 2 (C) 50 πcm 2

9.Find the L.C.M of (x² - 2 x + 1) and (x² + x -2)

 (A) (x-1) 2 (x - 2) (B) (x-1) 3 (C) (x-1) 2 (x+2)

10.Find the sum of the series 2+4+6+8+........................+360

 (A) 45652 (B) 45450 (C) 32580

These are the questions on math prepared in 10th grade worksheet13 based on the curriculum of 10th grade

1.   x + y - 5 = 0

2.   (4,1)

3.   5.7066 cm

4.   14.64 m and 20 m

5.   32

6.   5.24

7.   4/5

8.   65 πcm²

9.   (x-1) ² (x+2)

10.  32580  