CBSE Sample paper 1 CBSE Sample paper 1- IX - Math

6 downloads 43 Views 325KB Size Report
CBSE Sample paper 1- IX - Math -SA II. Solutions. Solutions. 1]. 2]. 3]. 4]. 5] The chord which passes through the centre of the circle, is called a Diameter of the.

CBSE Sample paper 11- IX - Math -SA II Solutions 1]

2]

3]

4]

5]

The chord which passes through the centre of the circle, is called a Diameter of the circle.

6]

7]

On the line y = 0, for all values of x, value of y is always zero.

8]

Put x = 0 and y = 0 in the equation we get the right side of the equation equals to 0. So, (0, 0) is a solution of the equation 2x + 5y = 0 (1 Mark)

(1 Mark)

9]

10]

11]

12]

13]

14]

The given line is parallel to the Y axis, therefore its equation is of the type x = a.(1 Mark) Now, the line passes through the point (1, 0). This implies that a = 1. Hence the equation of the line is x = 1 (1 Mark)

15]

16]

17]

18]

19]

20]

21]

22]

23]

24]

25]

26]

27]

28]

Let the age of the son 3 years back be x years Therefore, the age of the father 3 years back was x + 24

(1 Mark)

At present the age of the son is x + 3 and the father is 5 times as old as the son. i.e., x + 24 + 3 = 5(x + 3) (1 Mark) i.e., x + 27 = 5x + 15 or 4x = 12 or x = 3.(1 Mark) Therefore, the son was 3 years old 3 years back and he will be 9 years old three years from now. (1 Mark)

29]

30]

31]

32]

33]

34]