The given figure shows the path of two balls.
If path followed by the blue ball and the red ball is 2x-5y=4, and 3x-ky=6 respectively.
Determine the nature of linear equations of the given paths. Provided k=7.
Given 2x-5y=4, and 3x-7y=6
Here, a1=2, b1=−5, c1=−4
and a2=3, b2=−7, c2=−6
a1a2=23
b1b2=−5−7
c1c2=−4−6
23≠−5−7 (i.e. a1a2≠b1b2)
so, the nature of the given linear equations is intersecting.