1(ix)
The line $y = 2x$ passes through which pair of coordinates?
- (a)(0, 0) and (2, 2)
- (b)(0, 2) and (2, 4)
- (c)(1, 2) and (−1, −2)
- (d)(2, 2) and (−2, −2)
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Given,
Equation of the line is $y = 2x$.
A point lies on the line only if its coordinates satisfy the equation of the line.
Substituting the coordinates (1, 2) in $y = 2x$, we get :
⇒ 2 = 2 × 1
⇒ 2 = 2
Since, L.H.S. = R.H.S., the point (1, 2) lies on the line.
Substituting the coordinates (−1, −2) in $y = 2x$, we get :
⇒ −2 = 2 × (−1)
⇒ −2 = −2
Since, L.H.S. = R.H.S., the point (−1, −2) lies on the line.
Thus, the line $y = 2x$ passes through the points (1, 2) and (−1, −2).
Hence, option 3 is the correct option.