GATE Questions

---

Given, difference of the squares of two numbers is 180.

= k² - l² - 180

Also, square of the smaller number is 8 times the larger.

= l² = 8k

Thus, k² - 8a - 180 = 0

k² – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

Thus, the other number is

324 - 180 = l² 

→ Numbers are 12, 18 or -12, 18.

The combined gas law states that the ratio between the pressure-volume product and the temperature of a system remains constant.

Hence it depends on all the three Volume, Temperature & Pressure.

Due process is the legal requirement that the state must respect all legal rights that are owed to a person.

Therefore, due process refers to the criminal justice system operating within the bounds of the law.

The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1. 

All real numbers except 0 have reciprocals.

Agriculture would be a good example of a purely competitive industry.

We know that,

Alternate Exterior Angles Theorem::

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent .

Converse of the Alternate Exterior Angles Theorem ::

Converse of the Alternate Exterior Angles Theorem states that, If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.