Question

10.For what value of k does the point (k, -3) lies on the line 3x – y = 6

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:x=1}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Eqn \: of \: line \to3x - y = 6 \\ \\ \tt: \implies Point \: on \: line = (k,- 3) \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Value \: of \: k = ?$

• According to given question :

$\text{If \: a \: point \: lie \: on \: a \: line \: then} \\ \text{the \: point \: will \: satisfy \: on \: that \: line}\\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies 3x - y = 6 \\ \\ \tt \circ \: putting \: value \: of \: x = k \\ \\ \tt \circ \: putting \: value \: of \: y = - 3 \\ \\ \tt: \implies 3 \times k - ( - 3) = 6 \\ \\ \tt: \implies 3k + 3 = 6 \\ \\ \tt: \implies 3k = 6 - 3 \\ \\ \tt: \implies 3k = 3 \\ \\ \green{\tt: \implies k = 1} \\ \\ \green{\tt \therefore On \: point \:( 1,- 3) \: the \: line \: 3x - y = 6 \: satifies} \\ \\ \blue{\bold{Some \: related \: formula :} } \\ \orange{\tt \circ \: Distance \: formula = \sqrt{ (x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} } } \\ \\ \orange{ \tt \circ \: Section \: formula = \frac{m x_{2} + n x_{1}}{m + n} } \\ \\ \orange{\tt \circ \:Mid \: point \: formula = \frac{ x_{1} + x_{2} }{2} }$

Answer 2

☣ Qᴜᴇsᴛɪᴏɴ ☣

➥ For what value of k does the point (k, -3) lies on the line 3x – y = 6

⛦ Aɴsᴡᴇʀ ⛦

➥ The value of k is 1

☄ Gɪᴠᴇɴ ☄

➤ Point on line = (k, -3)

➤ Equation of line = 3x - y = 6

⚛ Tᴏ Fɪɴᴅ ⚛

➤ The value of k = ?

❏ According To Given Question

↗ If the point (k, -3) lies on the above line then this point must satisfy the line i.e x = k and y = 3

So, 2(k) - (-3) = 6

⟾ 3k + 3 = 6

⟾ 3k + 3 = 6

⟾ 3k = 6 - 3

⟾ 3k = 3

⟾ k = 1

So, for k = 1, (1-3) will lie on 3x - y = 6