What quantity must be subtracted from each term of the ratio 9 : 17, to make it equal to 1 : 3?

In a two digit number, the ten's digit is bigger. The product of the digits is 27 and the difference between two digits is 6. Find the number.

When we multiply two or more ratios, then the new ratio obtained, is called the

Find the remainder when :
x⁴ - 3x² + 2x + 1 is divided by x -1.

Find the remainder when:
4x³ + 4x² - 27x + 16 is divided by 2x - 3.

Find the distance between the following pairs:
(-3, 6) and (2 -6)

If the ratio between 8 and 11 is the same as the ratio of 2x - y to x + 2y, find the value of

Any point that remains unaltered under a given transformation is called an

The point (-3, 2) lies on the line ax + 3y + 6 = 0, calculate the value of 'a'.

Form the quadratic equation if the solution are -7 and 3