Question

If (k, 6) lies on the graph of the equation kx – ky + 5 = 0, then find the value of k.
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Answer 1

Answer:

k= 1 or k = 5

Step-by-step explanation:

k

${k}^{2} - 6k + 5 = 0$

in these equation . factarise the middle term which contain 'k'.

and

In this Sum is -6 and product is 5.

we find the two numbers which gives the above condition.

the numbers are -1 and -5 .

and we written the equation is

${k}^{2} - k - 5k + 5 = 0$

in this, take 'k' as common from first two terms and take -5 from second two terms.

$k(k - 1) - 5(k - 1) = 0$

take (k-1) as common and we get

$(k - 1)(k - 5) = 0$

and we seen that

in this

k-1 is zero or k-5 is zero

at last

we get

k=1 and k=5

Thank you.