Question

The intercept made by the pair of lines
6x2 – 7xy - 3y2 – 24x – 3y + 18 = 0
the x - axis is
(A) 2
(B) 4​

Answer 1

Answer:

(A) 2 is the answer I think

Answer 2

Given:

The intercept made by the pair of lines

6x² – 7xy - 3y² – 24x – 3y + 18 = 0

To find :

The x - axis when the intercept made by the pair of lines

6x² – 7xy - 3y² – 24x – 3y + 18 = 0

Solution:

Step 1 of 2 :

Put y = 0,

6x² – 7x (0) - 3 (0)² – 24x – 3 (0) + 18 = 0

6x² - 0 - 0 - 24x - 0 + 18 = 0

6x² - 24x  + 18 = 0

6 ( x² - 4x  + 3 ) = 0

x² - 4x  + 3 = $\frac{0}{12}$

x² - 4x  + 3 = 0

Step 2 of 2 :

To find the roots of the equation,

x² - 4x  + 3 = 0

( x - 3 )  ( x - 1 )

x - 3 = 0

x = 3

x - 1 = 0

x = 1

Intercept on x - axis is, 3 - 1 = 2

Final answer:

The intercept made by the pair of lines  6x² – 7xy - 3y² – 24x – 3y + 18 = 0 the x - axis is 2 .

Thus, the correct option is (A) 2 .