Book Online Demo

Check Your IQ

Courses

For the polynomial $f (x) = 2 x - 5$ , find the coordinates of the point where it crosses $x$ -axis.

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

(\frac{2}{5}, 0)

(0,0)

None of these

(2.5, 0)

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given, the polynomial

f (x) = 2 x - 5 .

We need to find the coordinates of the point where it crosses

x

-axis
Let us rewrite the polynomial,

y = 2 x - 5

.
The values of

y

that correspond to various values of

x

are listed below.
When

x = 1

, then

y = 2 (1) - 5 = - 3

When

x = 4,

then

y = 2 (4) - 5 = 3

On the graph paper, the points

C (1, - 3)

and

B (4, 3)

are plotted with the appropriate scale.
To produce the graphs of the given polynomial, a line is drawn through these locations.
It crosses

x

-axis at point

A (2.5, 0)

.
Hence, the correct option is 2.

Watch 3-min video & get full concept clarity