Learn UNIT II: Algebra with Free Lessons & Tips

To have infinitely many solutions, the two equations must represent the same line, meaning one equation is a multiple of the other.

Given equations:

Let's denote the numerator of the fraction as xx and the denominator as yy.

According to the given conditions:

1. The sum of the denominator and numerator of a fraction is 3 less than twice the denominator:

Let's denote the tens digit of the two-digit number as xx and the units digit as yy. The original number can then be represented as 10x+y.

According to the given conditions:

1. The sum of the digits of the two-digit number is 12:

The given sequence is an arithmetic progression (AP) with a common difference. To find this common difference, let's subtract each term from the next one:

To find which term of the arithmetic progression

If 11 is a zero of the polynomial p(x)=ax2−3(a−1)x−1

To find aa if (x+a) is a factor of

Let's denote the usual speed of the plane as S km/hr.

To prove that the equation

Let's denote the original average speed of the train as S