Mathematics Tes...

In the expansion of (a+b)ⁿ , N the number of terms is:

Find the value of r, if the coefficients of (2r + 4)^th and (r –2)^th terms in the expansion of (1 + x)¹⁸  are equal.

If we want to insert 8 numbers between the numbers 4 and 31 such that the resulting sequence is an AP.The difference between the consecutive numbers will be

For what value of n, is the arithmetic mean (AM) of a and b?

The digits of a positive integer having three digits are in AP and sum of their digits is 21. The number obtained by reversing the digits is 396 less than the original number. Find the original number.

Find the value of x for which the points (1,3) , (-2, 9) and (x, -1) are collinear.

The ratio in which the point R (1, 2) divides the line segment joining points P (2, 3) and Q (3, 5) is:

The distance of (2,3) from x+y = 1 is

What will be the new equation of the straight line 3x + 4y = 15, if the origin gets shifted to (1,-3) ?

What will be the new equation of the straight line 5x + 8y = 10, if the origin gets shifted to (2,-3) ?