+91-8076753736 [email protected]

-->

Introduction To Euclid's Geometry

Question

Wired Faculty App

If a point C lies between two points A and B such that AC = BC, then prove that AC = $1 half$ AB. Explain by drawing the figure.

Solution

AC = BC
AC + AC = BC + AC
| Equals are added to equals

rightwards double arrow

2AC = AB
| BC + AC coincided with AB

rightwards double arrow space space space space AC equals 1 half AB rightwards double arrow space space space space AC equals BC equals 1 half AB

| Things which are equal to the same point are equal to one another.

Some More Questions From Introduction to Euclid's Geometry Chapter

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

Express the linear equation 7 = 2x in the form ax + by + c = 0 and also write the values of a, b and c

Write each of the following as an equation in two variables:

(i) x = – 5 (ii) y = 2

(iii) 2x = 3 (iv) 5y = 2.

Which one of the following options is true, and why?

y = 3x + 5 has

(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions.

Write four solutions for each of the following equations:

2x + y = 7

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation