Question

Find the HCF of 1260 and 7344 using Euclid’s algorithm.
OR
Show that every positive odd integer is of the form (4q + 1) or (4q + 3), where q is some integer.

2.Which term of the AP 3, 15, 27, 39, ……… will be 120 more than its 21st term?
Or
If Sn, the sum of first n terms of an AP is given by Sn = 3n2 – 4n, find the nth term.
3.Find the ratio in which the segment joining the points (1, -3) and (4, 5) is divided by x-axis? Also find the coordinates of this point on x-axis.​

Answer 1

Answer:

1.By section formula which states that if a point P(x,y) divides the line with endpoints A(x1,y1) and B(x2,y2) in the ration m:n, the coordinates of x and y are:

If the segment is divided by the x-axis then the point at x-axis is (x, 0).

Let, the ratio of segment AB be m : 1.

So, the ratio is 3 : 5.

So, the x-coordinate is

Answer 2

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